Quick and easy learning of measurements in maths is possible with our ccss math answers. You can get the best study material on this page. Download Big Ideas Math Answers Grade 4 Chapter 11 Understand Measurement Equivalence for free of cost. You can learn the metric units of length, mass, capacity, units of times, customary units of length, capacity here.

## Big Ideas Math Book 4th Grade Answer Key Chapter 11 Understand Measurement Equivalence

The students who are in search of solutions of 4th std can get them on Big Ideas Math Answers Grade 4 Chapter 11 Understand Measurement Equivalence. Learn the different methods to solve the problems in Big Ideas Math Book 4th Grade Answer Key Chapter 11 Understand Measurement Equivalence. We have provided the solutions as per the topics in the below sections. Hence click on the links and kickstart your preparation.

**Lesson: 1 Length in Metric Units**

**Lesson: 2 Mass and Capacity in Metric Units**

- Lesson 11.2 Mass and Capacity in Metric Units
- Mass and Capacity in Metric Units Homework & Practice 11.2

**Lesson: 3 Length in Customary Units**

**Lesson: 4 Weight in Customary Units**

**Lesson: 5 Capacity in Customary Units**

**Lesson: 6 Make and Interpret Line Plots**

**Lesson: 7 Units of Time**

**Lesson: 8 Problem Solving: Elapsed Time**

**Lesson: 9 Mixed Measures**

**Performance Task**

- Understand Measurement Equivalence Performance Task
- Understand Measurement Equivalence Activity
- Understand Measurement Equivalence Chapter Practice
- Understand Measurement Equivalence STEAM Performance Task

### Lesson 11.1 Length in Metric Units

**Explore and Grow**

Work with a partner. Find 3 objects in your classroom, and use a meter stick to measure them. One of you measure in centimeters, and the other measure in millimeters. Think: What do you notice about the pairs of measurements? How does each measurement compare to1 meter?

1 centimeter is 10 times as long as 1 millimeter.

1 meter is 100 times as long as 1 centimeter.

1 meter is 1000 times as long as 1 millimeter.

**Structure**

You know the length of an object in centimeters. Without measuring, how can you find its length in millimeters?

Answer:

**Think and Grow: Find Equivalent Metric Lengths**

Metric units of length include, centimeters, meters, millimeters and kilometers.

**Example**

Find the number of meters in 3 kilometers.

There are 1000 meters in 1 kilometer.

3 ×1000 =3000

So, there are meters in 3 kilometers.

**Example**

Find the number of millimeters in 9 meters.

There are 100 centimeters in 1 meter.

9 ×100 = 9 centimeters

There are 10 millimeters in 1 centimeter.

900 × 10= 9000 millimeters

So, there are 9000 millimeters in 9 meters..

**Show and Grow**

**Find the equivalent length.**

Question 1.

8 km = ________ m

Answer:

8 km = 8000 m

Explanation:

one kilometer is 1000 times as long as 1 meter

8 x 1000 m = 8000 m

So, there are 8000 meters in 8 km.

Question 2.

7 m = ________ cm

Answer:

7 m= 700 cm

Explanation:

The meter is unit of length in the metric system equivalent to one hundred centimeters.

7×100 = 700cm

so, there are 700 cm in 7 m.

Question 3.

5 cm = ________mm

Answer:

5 cm = 50 mm

Explanation:

The centimeter is unit of length in the metric system equivalent to 10 millimeters.

5×10 =50 mm

so, there are 50 mm in 5 cm.

Question 4.

6 km = ________cm

Answer:

6 km = 600000 cm

Explanation:

1 km is equal to 1000 meters and one meter is equal to100 centimeters.

step 1: 6×1000=6000

step 2: 6000×100=600000

**Apply and Grow: Practice**

**Find the equivalent length.**

Question 5.

3 cm =_______mm

Answer:

3 cm = 30mm

Explanation:

The centimeter is unit of length in the metric system equivalent to ten millimeters.

3 x 10=30mm

Question 6.

8 m = _______cm

Answer :

8 m = 800cm

Explanation:

The meter is unit length in the metric system equivalent to 100 centimeters.

8×100=800cm

Question 7.

9 cm = ______mm

Answer:

9 cm = 90mm

Explanation:

The centimeter is unit of length in the metric system equivalent to 10 millimeters.

9×10=90mm

Question 8.

4 m = _______ cm

Answer:

4 m = 400 cm

Explanation :

one meter is equal to 100 centimeter

4×100=400cm.

so, there are 400cm in 4m.

Question 9.

11 km = ________m

Answer:

11 km = 11000m

Explanation:

one kilometer is equal to 1000 meters

11×1000=11000m

so, there are 11000 m in 11 km.

Question 10.

2 km = ________ cm

Answer:

2 km = 200000 cm

Explanation:

one kilometer is equal to 1000 meters and one meter is equal to 100centimeters

2×1000=2000m

2000×100=200000cm

Question 11.

3 m = ______mm

Answer:

3 m = 3000mm

Explanation:

one meter is equal to 100 centimeter and one centimeter is equal to 10 millimeters

3×100=300

300×10=300mm.

Question 12.

5 km = ______m

Answer:

5 km = 5000m

Explanation:

one kilometer is equal to 1000 meters

5×1000=5000m.

Question 13.

A pencil is 19 centimeters long. How many millimeters long is the pencil?

Answer:

The centimeter is unit of length in the metric system equivalent to 10 millimeters.

19×10=190mm long pencil.

Question 14.

**Number Sense**

How does the meaning of each prefix relate to the metric units of length in this lesson?

Answer:

one kilo is equal to one thousand meter

one centi is equal to hundredth of a meter

one milli is equal to thousandth of a meter.

**DIG DEEPER!**

Compare.

Question 15.

Answer:

4 meters is equal to 400 cm

Explanation:

one meter is equal to 100 cm

4 x 100 =400cm

Question 16.

Answer:

5000mm is not equal to 50m

Explanation:

5000mm is equal to 5m.

**Think and Grow: Modeling Real Life**

**Example**

During 1 day of swim practice, your friend swam12,600 meters. Your friend’s goal was to swim 2\(\frac{1}{2}\) kilometers. Did he reach his goal?

Make a table that shows the relationship between kilometers and meters.

Compare 2,600 meters to 2 \(\frac{1}{2}\) kilometers.

Answer:

2×1/2=2500

Your friend did not reach his goal.

**Show and Grow**

Question 17.

You have 42 millimeters of wire. You need 4\(\frac{1}{2}\) centimeters of wire to make an earring. Do you have enough wire to make the earring?

Answer: Yes,

Explanation:

The wire is 42 mm, we needed the wire for making earrings which is in cm we have to convert that in to mm.

one cm =10 mm

1cm =10mm

4 ×1/2 =9/2

= 4.5 ×10

=45 centimeters

Question 18.

Which insect’s wingspan is longer? How much longer is it?

Answer:

5cm wing span is longer because 1 cm =10mm

Question 19.

**DIG DEEPER!**

There are signs posted every 500 meters along a 5-kilometer race. How many signs are posted?

Answer:

10 signs

Explanation:

1 signs are posted for every 500 meters

1 km=1000m

so, there are 10 signs for 5 km.

### Length in Metric Units Homework & Practice 11.1

**Find the equivalent length.**

Question 1.

3 km = ___ m

Answer:

3 km = 8000 m

Explanation:

one kilometer is 1000 times as long as 1 meter

3 x 1000 m = 3000 m

So, there are 3000 meters in 8 km.

Question 2.

5 m = _____ mm

Answer:

5 m = 5000mm

Explanation:

one meter is 1000 times as long as 1000 millimeter

5 x 1000 m = 5000 mm

So, there are 5000millimeters in 5 m.

Question 3.

12 km = ____ m

Answer:

12 km = 12000 m

Explanation:

one kilometer is 1000 times as long as 1 meter

12 x 1000 m = 12000 m

So, there are 12000 meters in 12 km.

Question 4.

8 m = _____ cm

Answer:

8 meters is equal to 400 cm

Explanation:

one meter is equal to 100 cm

8 x 100 =800cm

Question 5.

9 km = ____ cm

Answer:

9 km = 900000 cm

Explanation:

one kilometer is equal to 1000 meters and one meter is equal to 100centimeters

9×1000=9000m

9000×100=900000cm

Question 6.

6m = _____ mm

Answer:

6 m=6000mm

Explanation:

one meter is equal to 100 cm

one cm is equal to 10 millimeter

6m x 100 =600cm

600×10=6000mm

Question 7.

7 m = ____ cm

Answer:

7 m=700cm

Explanation:

one meter is equal to 100cm

7 x 100= 700cm

Question 8.

4 m = ____ mm

Answer:

4m = 4000mm

Explanation:

one meter is equal to 100 centimeter

one centimeter is equal to 10 mm

4 x 100 = 400cm

400 x 10 = 4000mm.

Question 9.

A basketball player is 2 meters tall. How tall is the player in centimeters?

Answer:

200cm

Explanation:

The basketball player is 2m tall,one meter is equal to 100 cm

2 x 100 =200cm

so, the player is 200cm.

Question 10.

**Which One Doesn’t Belong?**

Which measurement does not belong with the other three?

50 m

500 km

5,000 cm

50,000 mm

Answer:

500 km

Question 11.

**Patterns**

Describe and complete the pattern.

Answer:

Explanation:

one meter is equal to 100 cm and that is equal to 100mm.

Question 12.

**Modeling Real Life**

A pencil is 190 millimeters long. A pencil box 1is 20\(\frac{1}{2}\) centimeters long. Will the pencil fit inside the pencil box?

Answer:

215 m long.

Explanation:

one centimeter is equal to 10mm, A pencil is 190 cm is long and the pencil box is 215 cm long it can easily fit in the box.

Question 13.

**DIG DEEPER!**

An airplane runway is 4 kilometers long. An airplane starts at one end and travels 2,044 meters. How many more meters can the airplane travel before reaching the end of the runway?

Answer:

1956meters

Explanation:

The airplane started and travelled 2044 m

total it has to travel is 4 km

one kilometer is equal to 1000m

4000-2044 =1956m

**Review & Refresh**

**Find the factor pairs for the number.**

Question 14.

11

Answer: 1,11

One of two or more numbers or expressions that are multiplied to obtain a given product

Question 15.

25

Answer: 1,5,25

One of two or more numbers or expressions that are multiplied to obtain a given product

Question 16.

12

Answer: 1,3,4,12.

One of two or more numbers or expressions that are multiplied to obtain a given product

### Lesson 11.2 Mass and Capacity in Metric Units

**Explore and Grow**

Use a balance and weights to help you complete the statement.

1 kilogram is 1000 times as much as 1 gram.

Use a 1-liter beaker to help you complete the statement.

1 liter is 1000 times as much as 1 milliliter.

**Structure**

You know the mass of an object in kilograms. Without using a scale, how can you find its mass in grams?

Answer with the help of :weighing machine

**Think and Grow: Find Equivalent Metric Measures**

Metric units of mass include grams and kilograms.

Metric units of capacity include liters and milliliters.

**Example**

Find the number of grams in 3 kilograms.

There are 1000 grams in 1 kilogram.

3 ×1000 = 3000

So, there are 3000 grams in 3 kilograms.

**Example**

The container holds 5 liters of water. How many milliliters of water does the container hold?

There are 1000 milliliters in 1 liter.

5 ×1000= 5000

So, the container holds 5000 milliliters of water.

**Show and Grow**

**Find the equivalent mass.**

Question 1.

6 kg = _______g

Answer:

6 kg = 6000g

Explanation:

There are 1000 grams in 1 kilogram.

6 ×1000 = 6000

So, there are 6000 grams in 6 kilograms.

Question 2.

9 kg = _______g

Answer:

9 kg = 9000g

Explanation:

There are 1000 grams in 1 kilogram.

9 ×1000 = 3000

So, there are 9000 grams in 9 kilograms.

**Find the equivalent capacity**

Question 3.

7 L =_________ mL

Answer:

7 l = 1000ml

Explanation:

There are 1000 milliliters in 1 liter.

7 ×1000= 7000

So, 7l is equal to 7000 milliliters of water.

Question 4.

10 L = ____ mL

Answer:

10l = 10000ml

Explanation:

There are 1000 milliliters in 1 liter.

10 ×1000= 10000

So, 10l has 10000 milliliters of water.

**Apply and Grow: Practice**

**Find the equivalent mass.**

Question 5.

8 kg = 8000 g

Answer:

There are 1000 grams in 1 kilogram.

8 ×1000 = 8000

So, there are 8000 grams in 8 kilograms.

Question 6.

7 kg = 7000g

Answer:

There are 1000 grams in 1 kilogram.

7×1000 = 7000

So, there are 7000 grams in 7 kilograms.

Question 7.

4 kg = 4000g

Answer:

There are 1000 grams in 1 kilogram.

4 ×1000 = 4000

So, there are 4000 grams in 4 kilograms.

Question 8.

67 kg = 67000 g

Answer:

There are 1000 grams in 1 kilogram.

67 ×1000 = 3000

So, there are 67000 grams in 67 kilograms.

**Find the equivalent capacity.**

Question 9.

9 L = _____ mL

Answer:

9 l = 9000 ml

Explanation:

one liter is equal to 1000ml

9 x 1000 =9000ml

Question 10.

3 L = _____ mL

Answer:

3 l = 3000ml

Explanation:

one liter is equal to 1000ml

3 x 1000 =3000ml.

Question 11.

23 L = ____ mL

Answer:

23l = 23000ml

explanation:

one liter is equal to 1000ml

23 x 1000= 23000ml

Question 12.

40 L = _____ mL

Answer:

40 l = 40000ml

explanation:

one liter is equal to 1000ml

40 x 1000= 40000ml

Question 13.

What is the mass of the bag of apples in grams?

Answer:

2000g

Explanation:

There are 1000 grams in 1 kilogram.

2 ×1000 = 2000

So, there are 2000 grams of apples in bag.

Question 14.

**YOU BE THE TEACHER**

Your friend says that 4 liters is greater than 4,500 milliliters. Is your friend correct? Explain.

Answer:

one liter is equal to 1000m

4 l = 4000ml

my friend is not correct4 liters is less than 4500ml.

Question 15.

**Writing**

Compare the relationship between kilograms and grams to the relationship between liters and milliliters.

Answer:

one kilogram is equal to 1000g

one liter is equal to 1000ml

kilograms and grams are used measure solids

liters and milliliters are used to measure liquids.

**Think and Grow: Modeling Real Life**

**Example**

A restaurant chef has 5\(\frac{3}{4}\) kilograms of rice. A recipe uses 5,875 grams of rice. Does the chef have enough rice to follow the recipe?

Make a table that shows the relationship between kilograms and grams.

Compare 5\(\frac{3}{4}\) kilograms to 5,875 grams.

The chef _____ have enough rice to follow the recipe.

Answer:

No, The chef doesnot have enough rice to follow the recipe

**Show and Grow**

Question 16.

Your goal is to drink 1,500 milliliters of water each day. Yesterday, you drank 2\(\frac{1}{2}\) liters of water. Did you reach your goal?

Answer:

Goal=1500 ml

drank water = 2 x 1/2 =5/2= 2.5

2.5 x 1000 =2500ml

yes, I reached the goal.

Question 17.

Which egg has a greater mass? How much greater?

Answer:

ostrich egg

Explanation:

There are 1000 grams in 1 kilogram.

1 x 1/4 = 5/4 = 1.25kgs

but chicken egg is 581grams so ostrich egg is bigger

Question 18.

**DIG DEEPER!**

A scientist has 3 liters, 818 milliliters, and 410 milliliters of a solution in each of 3 beakers. The scientist wants to divide the solution equally among 7 beakers. How much of the solution should the scientist put into each beaker?

Answer:

In three beakers 1 has 3 liters, 2 has 818, 3 has 410.

he has to divide them to 7 beakers equally

3 x 1000 = 3000 + 818 + 410 = 4228

the total solution is 4228 ml is divided by 7 = 604

### Mass and Capacity in Metric Units Homework & Practice 11.2

**Find the equivalent mass.**

Question 1.

2 kg = _________ g

Answer:

2 kg = 1000 g

Explanation:

There are 1000 grams in 1 kilogram.

2 ×1000 = 2000

So, there are 2000 grams in 2 kilograms.

Question 2.

10 kg = ________g

Answer:

10 kg = 10000 g

Explanation:

There are 1000 grams in 1 kilogram.

10×1000 = 10000

So, there are 10000 grams in 10 kilograms.

Question 3.

50 kg =_________g

Answer:

50 kg =50000g

Explanation:

There are 1000 grams in 1 kilogram.

50 ×1000 = 50000

So, there are 50000 grams in 50 kilograms.

Question 4.

31 kg = _________ g

Answer:

50 kg =50000g

Explanation:

There are 1000 grams in 1 kilogram.

51 ×1000 = 51000

So, there are 51000 grams in 51 kilograms.

**Find the equivalent capacity.**

Question 5.

7 L = _____ mL

Answer:

7l = 7000 ml

Explanation:

There are 1000 milliliters in 1 liter.

7 ×1000= 7000

So, 7l is equal to 7000 milliliters.

Question 6.

4 L = ____ mL

Answer:

4 l =4000 ml

Explanation:

There are 1000 milliliters in 1 liter.

4 ×1000= 4000

So, 4l has 4000 milliliters.

Question 7.

8 L = ____ mL

Answer:

8 l = 8000ml

Explanation:

There are 1000 milliliters in 1 liter.

8 ×1000= 8000

So, 8l has 8000 milliliters.

Question 8.

11 L = ____ mL

Answer:

11 l = 11000ml

Explanation:

There are 1000 milliliters in 1 liter.

11 ×1000= 11000

So, 8l has 11000 milliliters.

Question 9.

A pitcher contains 3 liters of iced tea. How many milliliters of iced tea does the pitcher contain?

Answer:

3000mm

Explanation:

There are 1000 milliliters in 1 liter.

3 ×1000= 3000

So, the container holds 3000 milliliters of iced tea the pitcher.

Question 10.

**Number Sense**

The prefix “kilo-” means one thousand. The prefix “milli-” means one-thousandth. How does the meaning of each prefix relate to the metric units of mass and capacity in this lesson?

Answer:

meter

Explanation:

The prefix “kilo-” means one thousand. The prefix “milli-” means one-thousandth. To measure the values of the meaning of each prefix relate to the metric units of mass and capacity in this lesson

Question 11.

**Number Sense**

When measuring the mass of a chair, how will the size of the unit affect the size of the measurement?

Answer:

Dimensions are physical qualities one relates the other in the size of measurement.

Question 12.

**Modeling Real Life**

To cook a pound of pasta, you need1toboil 4,700 milliliters of water. You fill a pot with 4\(\frac{1}{4}\) liters of water. Is there enough water in your pot?

Answer:

not enough

Explanation:

To cook a pound of pasta, you need1toboil 4,700 milliliters of water. You fill a pot with 4250 is not enough.

Question 13.

**DIG DEEPER!**

A 4,500-gram bag of soil costs $3, and an 18-kilogram bag of soil costs $10. Which is the less expensive way to buy 18,000 grams of soil? Explain.

Answer:

18kg bag

Explanation:

one kg is equal to 1000grams

18kg= 18000grams which costs of 10$

4500 g =3$

**Review & Refresh**

**Find the difference. Then check your answer.**

Question 14.

Answer: 1714

Question 15.

Answer: 24613

Question 16.

Answer: 50243

### Lesson 11.3 Length in Customary Units

**Explore and Grow**

Work with a partner. Use a yardstick todraw3 lines on a whiteboard that are 1 yard,2 yards, and 3 yards in length. Then measure the lengths of the lines in feet and in inches. Think: How do the lengths, in inches, compare to the lengths in feet? How does each length compare to 1 yard?

1 foot is ____ times as long as 1 inch.

1 yard is _____ times as long as 1 foot.

1 yard is _____ times as long as 1 inch.

Answer:

1 foot is 12 times as long as 1 inch.

1 yard is 3 times as long as 1 foot.

1 yard is 36 times as long as 1 inch.

**Structure**

You know the length of an object in feet. Without measuring, how can you find its length in inches?

Answer:

consider the length of an object is x

if we that in inches we have to multiply with 12

so, the answer is 12x

**Think and Grow: Find Equivalent Customary Lengths**

Customary units of length include inches, feet, yards, and miles.

**Example**

Find the number of yards in 2 miles.

There are _____ yards in 1 mile.

2 × _____ = _____

So, there are _____ yards in 2 miles.

Answer:

There are 1760 yards in 1 mile.

2 × 1760 = 3250

So, there are 3520 yards in 2 miles.

**Example**

Find the number of inches in 7 yards.

There are _____ feet in 1 yard.

7 × _____ = _____ feet

There are ______ inches in 1 foot.

21 × ____ = ____ inches

So, there are ________ inches in 7 yards.

answer:

There are 3 feet in 1 yard.

7 × 3 = 21 feet

There are 12 inches in 1 foot.

21 × 12 = 252 inches

So, there are 252 inches in 7 yards.

**Show and Grow**

**Find the equivalent length.**

Question 1.

6 mi= _____ yd

Answer:

6 mi =10560yd

explanation:

Answer:

There are 1760 yards in 1 mile.

6 × 1760 =10560

So, there are 10560 yards in 6 miles.

Question 2.

4 ft = _____ in.

Answer:

4 ft = 48 in

Answer:

There are 12 inches in 1 feet.

12 × 4 = 48

So, there are 48 inches in 4 ft.

Question 3.

11 yd = _____ ft

Answer:

11yd = 33 ft.

Explanation:

one yard is equal to 3 feet

11x 3= 33ft

Question 4.

3 mi = _____ ft

Answer:

3 mi = 15840 ft

Explanation:

one mile is equal 5280 feet

3 x 5280 = 15840ft

**Apply and Grow: Practice**

**Find the equivalent length.**

Question 5.

10 ft = ______ in.

Answer:

10 ft = 120 in

Explanation:

one feet is equal to 12 inch

10 x 12= 120in

so, there are 120 in in 10 ft.

Question 6.

8 yd = ______ in.

Answer:

8 yards = 288 in.

Explanation:

one yard is equal to 36 inches

8 x 36 = 288in

Question 7.

2 mi = ______ ft

Answer:

2mi = 10560 ft

Explanation:

one mile is equal to 5280 ft

2 x 5280 = 10560.

Question 8.

9 mi = ______ yd

Answer:

9 mi = 15840yd

Explanation:

Answer:

There are 1760 yards in 1 mile.

9 × 1760 = 15840

So, there are 15840 yards in 9 miles.

Question 9.

4 yd = ______ in.

Answer:

4 yd = 144 in

Explanation:

one yard is equal to 36 inch

4 x 36 = 144in

Question 10.

20 ft = ______ in.

Answer:

20ft = 240 in

Explanation:

one ft is equal to 36 inch

20 x 36 = 240in

Question 11.

7 mi = ______ yd

Answer:

7 mi = 12320yd

Explanation:

Answer:

There are 1760 yards in 1 mile.

7 × 1760 = 12320

So, there are 12320 yards in 7 miles.

Question 12.

5 mi = ______ ft

Answer:

5mi = 26400 ft

Explanation:

one mile is equal to 5280 feet.

5 x 5280 = 26400 ft.

Question 13.

You ran 54 yards. How many feet did you run?

Answer:

one yard is equal to 3 feet

54 x 3=162 ft

I need to run 162 feet in 54 yards

Question 14.

**Precision**

Three students measure the height of a bookshelf. Student A measures 72 units, Student B measures 2 units, and Student C measures 6 units. The teacher says all three students are correct. What units did each student use?

Answer:

1 feet = 12 inch

1 yard = 3 feet

1 yard = 36 inch

student A measures in inch

student B measures in yards

student c measures in feet.

Question 15.

**Reasoning**

What is one way you can check whether an answer is reasonable when converting from larger units to smaller units?

Answer:

converting from yards to feet

**Think and Grow: Modeling Real Life**

**Example**

A football player needs to run 6\(\frac{1}{3}\) yards to score. The player runs 17 feet. Does the player score?

Make a table that shows the relationship between yards and feet.

Compare 6\(\frac{1}{2}\) yards to 17 feet.

The player _____ score

Answer: 19

**Show and Grow**

Question 16.

You have 3\(\frac{1}{4}\) feet of string. You need 36 inches of string to make a necklace. Do you have enough string to make the necklace?

Answer: 9 inches

Question 17.

Which snake is longer? How much longer?

Answer: green anaconda

one yard is equal to 3 feet

green anaconda 28/3 = 9.33 x 3= 27.99feet

Question 18.

**DIG DEEPER!**

You have 6 yards of ribbon. You wrap 3 feet of ribbon around a present. You wrap 16 inches of ribbon around another present. How many inches of ribbon do you have left?

Answer:

one yard is equal to 3 feet

6 x 3 =18

I have 18 feet of ribbon in total

3 feet for gift wrapping

18-3= 15

one feet is equal to 12 inch

12 inch ribbon for the 2 nd present

15-12 =3

so, the remaining ribbon is 3 inch.

### Length in Customary Units Homework & Practice 11.3

**Find the equivalent length.**

Question 1.

25 ft = _____ in.

Answer:

300 in

Explanation:

one feet is equal to 12 inch

25 x 12 = 300in

there are 300 inches in 25 feet.

Question 2.

3 mi = _____ yd

Answer:

3mi = 5280yd

Explanation:

There are 1760 yards in 1 mile.

3 × 1760 = 5280

So, there are 5280 yards in 3 miles.

Question 3.

7 yd = _____ ft

Answer:

21 feet

Explanation:

one yard is equal to 3 feet.

7 x 3 = 21ft

there are 21 feet in 7 yards.

Question 4.

9 yd = _____ in.

Answer:

324

Explanation:

one yard is equal to 36 inch

9 x 36=324.

so, there are 324 inch in 9 yards

Question 5.

5 mi = _____ yd

Answer:

5 mi =8800 yd

Explanation:

There are 1760 yards in 1 mile.

5 × 1760 = 8800

So, there are 8800 yards in 5 miles.

Question 6.

6 mi = _____ ft

Answer:

31680

Explanation:

one mile is equal to 5280 ft

6 x 5280 = 31680

so there are 5280 feet in 6 miles

Question 7.

\(\frac{1}{4}\)mi = _____ yd

Answer:

440yd

Explanation:

There are 1760 yards in 1 mile.

1760/4 = 440

So, there are 440 yards.

Question 8.

\(\frac{1}{3}\) yd = ____ ft

Answer:

1 feet

one yard is equal to 3 feet

1/3 x 3 = 1

Question 9.

A street is 2 miles long. How long is the street in yards?

Answer:

3520yd

Explanation:

There are 1760 yards in 1 mile.

2 × 1760 = 3250

So, there are 3520 yards in 2 miles.

Question 10.

**Number Sense**

Does it take more miles or more yards to equal a given length? Explain.

Answer:

when it is measured in miles 1 mile =1760 yd

as the miles contains less units it is easy to calculate.

Question 11.

**YOU BE THE TEACHER**

Your friend says 1 inch is \(\frac{1}{12}\) of a foot. Is your friend correct? Explain.

Answer:

he is correct

explanation:

one feet is equal to 12 inch

Question 12.

**Number Sense**

Which lengths are equivalent?

Answer:

15 yards = 45 feet, 540 inch

540 inch = 45 feet

Question 13.

**Modeling Real Life**

A plumber has 6\(\frac{1}{3}\) feet of piping. She needs inches of piping. Does she have enough piping?

Answer:

A plumber has 6\(\frac{1}{3}\) feet of piping. she needs 38 inches of piping.

Question 14.

**Modeling Real Life**

A teacher has 12 yards of string for her class to make balloon zip lines. Each zipline needs 8 feet of string. How many zip lines can the class make?

Answer:

The teacher has 12 yards of string for her class to make balloon zip lines. Each zipline needs 8 feet of string

1 yard is equal to 3 feet

12 x 3 = 36

36/8 = 4

so they can make 4 zip lines of 8 feets each.

**Review & Refresh**

**Divide. Then check your answer.**

Question 15.

\(\sqrt [ 3 ]{ 501 } \)

Answer:

67.14

Question 16.

\(\sqrt [ 2 ]{ 4,237 } \)

Answer:

130.18

Question 17.

\(\sqrt [ 5 ]{ 6,049 } \)

Answer:

388.87

### Lesson 11.4 Weight in Customary Units

**Explore and Grow**

Use a platform scale to help you complete the statement.

1 pound is ______ times as heavy as 1 ounce.

1 pound is 16 times as heavy as 1 ounce.

How can you use the number line to complete the statement?

1 ton is ________times as heavy as 1 pound.

Answer:

1 ton is 2240 times as heavy as 1 pound.

**Structure**

You know the weight of an object in pounds. Without measuring, how can you find its weight in ounces?

Answer:

one pound is equal to 16 times of a ounce by multiplying with the number.

**Think and Grow: Find Equivalent Customary Weights**

Customary units of weight include ounces, pounds, and tons.

**Example**

Find the number of ounces in 6 pounds.

There are ______ ounces in 1 pound.

6 × _____ = ____

So, there are _______ ounces in 6 pounds.

Answer:

There are 16 ounces in 1 pound.

6 × 16 = 96

So, there are 96 ounces in 6 pounds..

**Example**

The vehicle shown weighs 8 tons. What is the weight in pounds?

There are ______ pounds in 1 ton.

8 × _____ = _____

So, the vehicle weighs ______ pounds.

Answer:

There are 2000 pounds in 1 ton.

8 × 2000 = 16000

So, the vehicle weighs 16000 pounds.

**Show and Grow**

**Find the equivalent weight.**

Question 1.

5 T = ____ lb

Answer:

5 t = 10000 lb

Explanation:

There are 2000 pounds in 1 ton.

5 × 2000 = 10000

So, it weighs 10000 pounds.

Question 2.

9 lb = _____ oz

Answer:

9 lb = 144 oz

Explanation:

There are 16 ounces in 1 pound.

9 × 16 = 144

So, there are 144 ounces in 9 pounds..

Question 3.

15 lb = ____ oz

Answer:

15 lb = oz240

Explanation:

There are 16 ounces in 1 pound.

15 × 16 = 144

So, there are 240 ounces in 15 pounds..

Question 4.

7 T = _____ lb

Answer:

7 t = 14000 lb

Explanation:

There are 2000 pounds in 1 ton.

7 × 2000 = 14000

So, it weighs 14000 pounds.

**Apply and Grow: Practice**

**Find the equivalent weight.**

Question 5.

6 T = _____ lb

Answer:

6 t = 12000 lb

Explanation:

There are 2000 pounds in 1 ton.

6 × 2000 = 12000

So, it weighs 12000 pounds.

Question 6.

20 lb = ____ oz

Answer:

20 lb = oz

Explanation:

There are 16 ounces in 1 pound.

9 × 16 = 320

So, there are 320 ounces in 16 pounds..

Question 7.

12 lb = _____ oz

Answer:

12 lb = 192 oz

Explanation:

There are 16 ounces in 1 pound.

12 × 16 = 192

So, there are 192 ounces in 12 pounds..

Question 8.

2 T = _____ lb

Answer:

2 t = 4000 lb

Explanation:

There are 2000 pounds in 1 ton.

2 × 2000 = 4000

So, it weighs 4000 pounds.

Question 9.

4 T = ______ lb

Answer:

4 t = 8000 lb

Explanation:

There are 2000 pounds in 1 ton.

4 × 2000 = 8000

So, it weighs 8000 pounds.

Question 10.

11 lb = _____ oz

Answer:

11 lb = 176 oz

Explanation:

There are 16 ounces in 1 pound.

11 × 16 = 176

So, there are 176 ounces in 11 pounds..

Question 11.

15 lb = _____ oz

Answer:

15 lb = 240oz

Explanation:

There are 16 ounces in 1 pound.

15 × 16 = 240

So, there are 240 ounces in 15 pounds..

Question 12.

10 T = _____ lb

Answer:

10 t = 20000 lb

Explanation:

There are 2000 pounds in 1 ton.

10 × 2000 = 20000

So, it weighs 20000 pounds.

Question 13.

A bag of flour weighs 5 pounds. What is the weight of the bag of flour in ounces?

Answer:

5 lb = 80 oz

Explanation:

There are 16 ounces in 1 pound.

5 × 16 = 80

So, there are 80 ounces in 5 pounds.

**Open-Ended ****Complete the statement.**

Question 14.

54 ounces > _____ pounds

Answer: 54 ounces > 3.375

Question 15.

5,500 pounds < ______ tons

Answer:

5,500 pounds < 3 tons

**DIG DEEPER!**

Compare

Question 16.

Answer: 2 lb > 25 oz

Question 17.

Answer:6,500 < 7 t

**Think and Grow: Modeling Real Life**

**Example**

A river otter eats 64 ounces of food each day. A zookeeper has 3\(\frac{1}{2}\) pounds of fish to feed the otter. Does the zookeeper have enough food to feed the otter for 1 day?

Make a table that shows the relationship between pounds and ounces.

Compare 64 ounces to 3\(\frac{1}{2}\) pounds.

The zookeeper ______ have enough food to feed the otter for 1 day.

Answer:

A river otter eats 64 ounces of food each day. A zookeeper has 3\(\frac{1}{2}\) pounds of fish to feed the otter. The zookeeper does not have enough food to feed the otter for 1 day

**Show and Grow**

Question 18.

The weight limit of a bridge is10,000 pounds. Can the van cross the bridge?

Answer:

4.25 t = 8500 lb

Explanation:

There are 2000 pounds in 1 ton.

4.25 × 2000 = 8500

So, it weighs 8500 pounds.

Question 19.

Your backpack weighs 3\(\frac{1}{2}\) pounds. You take a 4-ounce book out of your backpack. How many ounces does your backpack weigh now?

Answer:

3.5 lb x 16 = 56

Explanation:

There are 16 ounces in 1 pound.

3.5 × 16 = 56

So, there are 56 ounces in 3.5 pounds. The bag pack weighs 56-4 = 52 oz.

Question 20.

**DIG DEEPER!**

A 195-pound man has twenty-five 40-pound packages to deliver. Can he bring all of the packages on the elevator at once? Explain.

Answer:

2 t = 2000 lb

Explanation:

There are 2000 pounds in 1 ton.

25 x 40 = 1000

so he can easily take it once in the elevator.

### Weight in Customary Units Homework & Practice 11.4

**Find the equivalent weight.**

Question 1.

3 T = _____ lb

Answer:

3 t = 6000 lb

Explanation:

There are 2000 pounds in 1 ton.

3 × 2000 = 6000

So, it weighs 6000 pounds.

Question 2.

13 lb = ____ oz

Answer:

13 lb = 208 oz

Explanation:

There are 16 ounces in 1 pound.

13 × 16 = 208

So, there are 208 ounces in 13 pounds.

Question 3.

22 lb = ____ oz

Answer:

22 lb = 352 oz

Explanation:

There are 16 ounces in 1 pound.

22 × 16 = 352

So, there are 352 ounces in 22 pounds.

Question 4.

8 T = _____ lb

Answer:

8 t = 16000 lb

Explanation:

There are 2000 pounds in 1 ton.

8 × 2000 = 16000

So, it weighs 16000 pounds.

Question 5.

2 T = ____ lb

Answer:

2 t = 4000 lb

Explanation:

There are 2000 pounds in 1 ton.

2 × 2000 = 4000

So, it weighs 4000 pounds.

Question 6.

20 lb = ______ oz

Answer:

20 lb = 320 oz

Explanation:

There are 16 ounces in 1 pound.

20 × 16 = 320

So, there are 320 ounces in 16 pounds.

Question 7.

5\(\frac{3}{4}\) lb = _____ oz

Answer:

5.75 lb = 93 oz

Explanation:

There are 16 ounces in 1 pound.

5.75 × 16 = 93

So, there are 93 ounces in 5.75 pounds.

Question 8.

6\(\frac{1}{4}\) T = _____ lb

Answer:

6.25 t = 12500 lb

Explanation:

There are 2000 pounds in 1 ton.

6.25 × 12500 = 10000

So, it weighs 12500 pounds.

Question 9.

A hippopotamus weighs 4 tons. What is the weight of the hippopotamus in pounds?

Answer:

4 t = 8000 lb

Explanation:

There are 2000 pounds in 1 ton.

4 × 2000 = 8000

So, hippo weighs 8000 pounds.

Question 10.

**Writing**

Explain how to compare tons to ounces.

Answer:

calculate to pounds and then to ounces

Question 11.

**Modeling Real Life**

Workers need 20,000 pounds of concrete to create a driveway. The boss orders 10\(\frac{3}{4}\) tons of concrete.Does he order enough?

Answer:

43/4t = 21500 lb

Explanation:

There are 2000 pounds in 1 ton.

43/4 × 2000 = 21500

So, it weighs 21500 pounds yes he ordered enough concrete.

Question 12.

**Modeling Real Life**

You buy crushed tomatoes in 6-ounce cans. You want to1make a recipe that calls for 1\(\frac{1}{2}\) pounds of crushed tomatoes. How many cans do you need to make the recipe?

Answer:

6 ounce cans are there

1.5 pounds of crushed tomatoes

1.5 x 16= 24 ounce

one pound is equal to 16 ounce

we need 3 cans

Question 13.

**DIG DEEPER!**

How many more ounces does the heaviest puppy weigh than the lightest puppy?

Answer: 3/4 is the lightest puppy

7/4 is the heaviest puppy

**Review & Refresh**

**Find the sum**

Question 14.

\(\frac{2}{8}+\frac{4}{8}\) = _______

Answer: 6

Question 15.

\(\frac{1}{2}+\frac{4}{2}\) = _______

Answer: 2.5

Question 16.

\(\frac{5}{12}+\frac{3}{12}+\frac{1}{12}\) = ______

Answer:

0.41+4+0.8

=5

### Lesson 11.5 Capacity in Customary Units

**Explore and Grow**

Use the diagram to complete each statement. Then check your answers using a gallon measurement set.

1 gallon is _____ times as much as 1 quart.

1 quart is _______ times as much as 1 pint.

1 pint is ______ times as much as 1 cup.

1 gallon is _____ times as much as 1 cup.

Answer:

1 gallon is 4 times as much as 1 quart.

1 quart is 2 times as much as 1 pint.

1 pint is 2 times as much as 1 cup.

1 gallon is 16 times as much as 1 cup.

**Structure**

You know the capacity of a container in pints. Without measuring, how can you find its capacity in cups?

Answer: multiplying with 2

**Think and Grow: Find Equivalent Customary Capacities**

Customary units of capacity include cups, pints, quarts, and gallons.

**Example**

Find the number of quarts in 15 gallons.

There are ______ quarts in 1 gallon.

15 × _____ = _____

So, there are ______ quarts in 15 gallons.

Answer:

There are 4 quarts in 1 gallon.

15 × 4 = 60

So, there are 60 quarts in 15 gallons.

**Example**

Find the number of cups in 7 quarts.

There are _____ pints in 1 quart.

7 × ____ = ____ pints

There are ______ cups in 1 pint.

14 × _____ = _____ cups

So, there are ______ cups in 7 quarts.

Answer:

There are 2 pints in 1 quart.

7 × 2 = 14 pints

There are 2 cups in 1 pint.

14 ×2 =28cups

So, there are 28 cups in 7 quarts.

**Show and Grow**

**Find the equivalent capacity.**

Question 1.

4 pt = _____ c

Answer:

4 pt = 8 c

Explanation:

There are 2 pints in one cup

4 x 2 = 8.

so, there are 8 cups in 4 pints

Question 2.

6 qt = _____ pt

Answer:

6 qt =24 pt

Explanation:

There are 2 pints in 1 quart.

6 × 2 = 12 pints

There are 2 cups in 1 pint.

12 ×2 =24cups

So, there are 24 cups in 6 quarts.

Question 3.

9 gal = ____ qt

Answer:

9 gal =36 qt

Explanation:

one gallon is equal to 4 quarts

9x 4 = 36 qt

Question 4.

12 gal = _____ pt

Answer:

12 qt =48 pt

Explanation:

There are 2 pints in 1 quart.

12 × 2 = 24 pints

There are 2 cups in 1 pint.

24 ×2 =48cups

So, there are 48 cups in 24 quarts.

**Apply and Grow: Practice**

**Find the equivalent capacity.**

Question 5.

30 qt = ____ pt

Answer:

30 qt =120 pt

Explanation:

There are 2 pints in 1 quart.

30 × 2 = 60 pints

There are 2 cups in 1 pint.

60 ×2 =120cups

So, there are 120cups in 30 quarts.

Question 6.

5 gal = ____ pt

Answer:

5 gal = 40 pt

Explanation:

one gallon is equal to 4 quarts

5 x 4 = 20 qt

one quart is equal to 2 pints

20 x 2 =40

Question 7.

9 qt = _____ c

Answer:

9 qt = 36 c

Explanation:

one quart is equal to 4 cups

9 x 4 = 36 cups

Question 8.

8 gal = _____ qt

Answer:

8 gal = 32 qt

Explanation:

one gal is equal to 4 quarts

8 x 4 = 32.

Question 9.

25 pt = _____ c

Answer:

25 pt = 50 c

Explanation:

There are 2 pints in one cup

25 x 2 = 50.

so, there are 50 cups in 25 pints

Question 10.

11 gal = _____ pt

Answer:

11 gal = 88 pt

Explanation:

one gallon is equal to 4 quarts

11 x 4 = 44

one quart is equal to 2 pints

44 x 2 = 88

so, there are 88 pints in 11 gal.

Question 11.

18 gal = ____ qt

Answer:

18 gal = 106 qt

Explanation:

one gal is equal to 4 quarts

18 x 4 =106

Question 12.

16 qt = _____ c

Answer:

one quart is equal to 4 cups

Question 13.

You have a 10-gallon fish tank. How many quarts of water does it take to fill your fish tank?

Answer: 10 x 4 = 40 qt

40 quarts of water takes to fill the fish tank.

Question 14.

**DIG DEEPER!**

Which measurements are greater than 5 gallons?

Answer: 10 gallons 92 cups

**Think and Grow: Modeling Real Life**

**Example**

A berry salad uses 6 pints of blackberries, 2 quarts of strawberries, and 7 cups of blueberries. Which fruit do you use the greatest amount of?

Make a table that shows the relationship between quarts, pints, and cups.

Compare 6 pints, 2 quarts, and 7 cups.

You use the greatest amount as quarts.

**Show and Grow**

Question 15.

A caterer buys 2 gallons of milk, 12 quarts of lemonade, and 32 pints of apple juice. Which drink does the caterer buy the least amount of?

Answer: pints

Question 16.

You make 4 quarts of soup. You and your friend each eat 1 pint of soup. Will the leftover soup fit into a 10-cup container? Explain.

Answer: 3 pints

Question 17.

**DIG DEEPER!**

You use 16 gallons of water while taking a shower. Your friend uses 288 cups. Who uses less water? How much less?

Answer: 16 x 4 = 64 quarts

64 x 2 = 128 pints

128 x 2 = 236

288 – 236 = 52.

### Capacity in Customary Units Homework & Practice 11.5

**Find the equivalent capacity.**

Question 1.

7 pt = _____ c

Answer:

7 pt = 14 c

Explanation:

There are 2 pints in one cup

7 x 2 = 14.

so, there are 14 cups in 7 pints

Question 2.

10 qt = _____ pt

Answer:

10 qt =40 pt

Explanation:

There are 2 pints in 1 quart.

10 × 2 = 20 pints

There are 2 cups in 1 pint.

20 ×2 =40cups

So, there are 40 cups in 10 quarts.

Question 3.

8 gal = ______ qt

Answer:

8 x 4 = 36 qt

one gal is equal to 4 quarts.

Question 4.

4 gal = _____ pt

Answer:

4 gal = 36 pt

Question 5.

12 qt = _____ c

Answer:

1 qt = 2 cups

12 x 2 = 24 cups

Question 6.

6 gal = ______ qt

Answer:

6 gal = 28 qt

Explanation:

one gal is equal to 4 qt

6 x 4 = 28 qt

Question 17.

3\(\frac{1}{4}\) gal = _____ pt

Answer:

3.5 x 4 = 13

13 x 2 = 26

Question 8.

4 \(\frac{1}{2}\) pt = _____ c

Answer:

9/2 pt = 9 c

Explanation:

There are 2 pints in one cup

9/2 x 2 = 9.

so, there are 9 cups in 4.5 pints

Question 9.

A bottle holds \(\frac{1}{2}\) quart of liquid. How many cups of water does the bottle hold?

Answer:1 cups of water

Question 10.

**Writing**

Compare the relationship between pints and cups to the relationship between quarts and pints.

Answer:

1 pint = 2 cups

one quart = 2 pints

Question 11.

**Logic**

Your friend makes a table of equivalent capacities. What are the labels for the columns?

Answer: cups to quarts

Question 12.

**Modeling Real Life**

Turning off the faucet while brushing your teeth can conserve 32 quarts of water. Using a low-flow shower head can conserve15 gallons of water. Using a dishwasher can conserve112 pints of water. Which activity conserves the greatest amount of water?

Answer:

Explanation:

There are 2 pints in 1 quart.

52× 2 = 104 pints

Question 13.

**Modeling Real Life**

Some pitcher plants are large enough to hold 2 gallons of water. A household pitcher holds 16 cups of water. How much more water can a pitcher plant hold than the household pitcher?

Answer:

one gallon equal to 4 parts

2 x 4 = 8

8 quarts are needed.

**Review & Refresh**

Question 14.

A car dealership owner needs to transport 150 cars and 95 trucks to an island. A ferry can hold 8 vehicles. How many trips with vehicles will the ferry need to make?

Answer: 150 + 95 = 245

245/8 = 30. 8

it has to make almost 30 trips.

### Lesson 11.6 Make and Interpret Line Plots

**Explore and Grow**

Measure your hand length with a ruler. Record the length to the nearest half-inch. Collect the hand lengths of all the students in your class, including yourself. Create a line plot of the results.

Think: How will you label the scale? What title will you give your line plot?

**Construct Arguments**

What conclusions can you make from the line plot?

Answer:

Teacher length is high when compared to kids

but the difference between the kids are less

**Think and Grow: Make Line Plots**

**Example**

You plant 10 seeds. After 6 days, you measure the height of each plant. Make a line plot to display the data.

Step 1: Write the data values as fractions with the same denominator.

The denominators of the data values are 2, 4, and 8. Because 2 and 4 are factors of 8, use a denominator of 8.

Step 2: Use a scale on a number line that shows all of the data values.

Step 3: Mark an X for each data value.

Answer: 3/8

3/8 plant height is most common.

**Show and Grow**

Question 1.

You survey 10 people about the amount of water each person drinks in 1 day. Make a line plot to display the data.

Which amount of water consumed is the most common?

Answer:

2/8

Explanation:

to make this make the denominator to equal

**Apply and Grow: Practice**

Question 2.

The table shows the lengths of 10 chameleons in a pet store. Make a line plot to display the data.

Which is most common chameleon length?

Answer:

6/8

Question 3.

A scientist is studying the weights of 15 sugar gliders. Make a line plot to display the data.

How many sugar gliders weigh more than \(\frac{1}{8}\) pound?

Answer:

Question 4.

**DIG DEEPER!**

Use your line plot from Exercise 3. How many times as many \(\frac{2}{3}\) pound sugar gliders are there as \(\frac{3}{8}[/latex] pound sugar gliders? Explain.

Answer:

2/8

Explanation:

denominator is equalized and the factors are multiplied.

**Think and Grow: Modeling Real Life**

**Example**

You record the distances you rode your bike for 10 days. What is the difference in the length of your longest ride and the length of your shortest ride?

Make a line plot. Use a scale that shows all of the data values.

Subtract the shortest ride from the longest ride.

5 − 6 = 1.

The difference in the length of your longest ride and the length of your shortest ride is 1 miles.

**Show and Grow**

Question 5.

You record the total monthly rainfall for 10 months. What is the difference of the greatest monthly rainfall and the least monthly rainfall?

How much did it rain during the 10 months in all?

Answer:

the total rain fall during all the 10 months is 62/8

### Make and Interpret Line Plots Homework & Practice 11.6

Question 1.

The table shows the thicknesses of 10 books in a series. Make a line plot to display the data.

The least common thickness is ______ inch.

There are ______ books that are less than [latex]\frac{5}{8}\) inch thick.

Answer:

The least common thickness is 6/8 inch.

There are 4 books that are less than \(\frac{5}{8}\) inch thick.

Question 2.

**DIG DEEPER!**

Use your line plot from Exercise 1. How many times as many \(\frac{3}{4}\) inch thick books are there as \(\frac{1}{8}\)-inch thick books?

Answer:

6/8 are more

Question 3.

A zoologist is studying the weights of 15 skinks. Make a line plot to display the data.

Answer:

Question 4.

**Reasoning**

In Exercise 3, do most of the skinks weigh more than \(\frac{5}{8}\) pound?

Answer:

yes most of the skinks weigh more than \(\frac{5}{8}\) pound.

Question 5.

**Modeling Real Life**

A painter records the amounts of paint he uses in 10 different rooms. What is the difference of the greatest amount of paint used and the least amount of paint used?

How many gallons of paint were used in all 10 rooms combined?

Answer:

4/2 is least paint used

7/2 is the greatest paint used

**Review & Refresh**

**Write the fraction as a sum of unit fractions.**

Question 6.

\(\frac{5}{6}\)

Answer:

0.83

Question 7.

\(\frac{8}{3}\)

Answer:

2.6

### Lesson 11.7 Units of Time

**Explore and Grow**

Use a clock or a stopwatch to help you complete the statements.

1 minute is ______ times as long as 1 second.

1 hour is _______ times as long as 1 minute.

Answer:

1 minute is 60 times as long as 1 second.

1 hour is 60 times as long as 1 minute.

**Structure**

You know an amount of time in minutes. Without using a clock or a stopwatch, how can you find the amount of time in seconds?

Answer: multiply with 60.

**Think and Grow: Find Equivalent Amounts of Time**

Units of time include seconds, minutes, hours, days, weeks, months, and years.

**Example**

Find the number of minutes in 6 hours.

There are ______ minutes in 1 hour.

6 × _____ = _____

So, there are _____ minutes in 6 hours.

answer:

There are 60 minutes in 1 hour.

6 × 60 =120_

So, there are 120 minutes in 6 hours.

**Example**

Find the number of hours in 4 weeks.

There are ______ days in 1 week.

4 × _____ = ____ days

There are ______ hours in 1 day.

28 × _____ = ______

So, there are ____ hours in 4 weeks.

Answer:

There are 7 days in 1 week.

4 × 7 = 28 days

There are 24 hours in 1 day.

28 × 24 = 672

So, there are 672 hours in 4 weeks.

**Show and Grow**

**Find the equivalent amount of time.**

Question 1.

10 min = ______ sec

Answer:

one minute is equal to 60 seconds

10 x 60 = 600 seconds

Question 2.

5 d = _____ h

Answer:

5d = 120 h

Explanation:

one day is equal to 24 hours

5 x 24 = 120 h.

Question 3.

8 wk = _____ d

Answer:

8 wk = 56 days

Explanation:

one week is equal to 7 days

8 x 7 = 56 days

Question 4.

2 d = _____ sec

Answer:

2 d = sec

Explanation:

one day is equal to 24 hours

one hour is equal to 60 seconds

24 x 60 = 2880 sec

**Apply and Grow: Practice**

**Find the equivalent amount of time.**

Question 5.

7 yr = ____ wk

Answer:

7yr = 364 wk

Explanation:

one year is equal to 56 weeks

7 x 52 = 364 wk

q6.

4 d = _____ min

Answer:

4 d = 240 min

Explanation:

one day is equal to 60 minutes

4 x 60 = 240 min

Question 7.

3 wk = _____ d

Answer:

3 wk = 21 d

Explanation:

one week is equal to 7 days

3 x 7 = 21 days

Question 8.

6 h = _____ sec

Answer:

6 h = 360 sec

Explanation:

one hour is equal to 60 sec

6 x 60 = 360 sec

Question 9.

2 yr = _____ mo

Answer:

2 yr = 24 months

Explanation:

one year is equal to 12 months

2 x 12 = 24 months

Question 10.

1 wk = _____ h

Answer:

1 wk = 168 hours

Explanation:

one week is equal to 7 days

one day is equal to 24 hours

7 x 24 = 168 hours

Question 11.

24 h = _____ min

Answer:

24 h = 1440 min

Explanation:

one hour is equal to 60 minutes

24 x 60 = 1440 min

Question 12.

10 yr = _____ d

Answer:

10 yr = 3650 d

Explanation:

one year is equal 365 days

365 x 10 = 3650 days

Question 13.

Your friend turns 8 years old today. How many months old is your friend?

Answer:

8 y = 96 months

Explanation:

one year is equal to 12 months

8 x 12 = 96 months

my friend is 96 months old

Question 14.

**Writing**

Explain how you can show that 3,000 seconds is less than 1 hour.

Answer:

one min is equal to 60 sec

one hour is equal to 60 minutes

60 x 60 = 3600

3600- 3000 = 600 sec

one hour is equal to 3600 minutes

600 sec lesser.

Question 15.

**Structure**

The number pairs describe the relationship between which two units of time? Explain.

2 and 104

3 and 156

4 and 208

Answer:

2 years is equal to 104 weeks

3 years is equal to 156 weeks

4 years is equal to 208 weeks

year and week relation ship

**Think and Grow: Modeling Real Life**

**Example**

Your cousin makes a 3\(\frac{1}{2}\) minute long music video. Your friend makes a 200-second long music video. Who records a longer music video?

Make a table that shows the relationship between minutes and seconds.

Compare 3\(\frac{1}{2}\) minutes to 200 seconds.

Your friend records a longer music video.

**Show and Grow**

Question 16.

You put a puzzle together in 150 minutes. Your friend puts the same puzzle together in 1hours. Who put the puzzle 2\(\frac{1}{4}\) together faster?

Answer:

one hour is equal to 60 min

You put a puzzle together in 150 minutes

2 x 1/ 4 = 2.25 x 60

= 135 min

Question 17.

In the wild, a California sea lion can live to be 20 years old. In captivity, it can live to be 360 months old. Does a California sea lion live longer in the wild or in captivity? How much longer?

Answer:

one year is equal to 12 months

20 x 12 = 240 months

360 is higher than 240 so in captivity.

Question 18.

Movie A is 98 minutes long. Movie B is 1\(\frac{1}{2}\) hours long. Movie C is 1\(\frac{3}{4}\) hours long. Order the movies from longest to shortest.

Answer:

movie a = 98 min

movie b = 90 min

movie c = 105 min

movies c is longest

### Units of Time Homework & Practice 11.7

**Find the equivalent amount of time.**

Question 1.

9 yr = _____ wk

Answer:

9 yr = 468 wk

Explanation:

one year is equal to 52 week

9 x 52= 468 wk

Question 2.

10 min = _____ sec

Answer:

10 min = 600 sec

Explanation:

one minute is equal to 60 sec

10 x 60 =600 sec

Question 3.

1 wk = _____ h

Answer:

1 wk = 168 hours

Explanation:

one week is equal to 7 days

7 x 24 = 168 hours.

Question 4.

6 yr = _____ mo

Answer:

6 yr = months

Explanation:

one year is equal to 12 months

6 x 12 = 72 months

Question 5.

3 yr = _____ d

Answer:

3 yr = 1095 d

Explanation:

one year is equal to 365 days

3 x 365 = 1095 days

Question 6.

2 d = ______ min

Answer:

2 d =

Explanation:

one day is equal to 24 hours

one hour is equal to 60 min

2 x 24 = 48 hours

48 x 60 = 2880 min

Question 7.

\(\frac{1}{3}\) d = _____ h

Answer:

8 hours

Question 8.

2\(\frac{3}{4}\) yr = ______ wk

Answer:

2. 75 yr

one year is equal 52 week

2. 75 = 143 week

Question 9.

How many hours are in 1 week?

Answer:

one week is equal to 7 days

one day is equal to 24 hours

7 x 24 = 168 hours

Question 10.

**YOU BE THE TEACHER**

Your friend labels the first column Weeks and the second column Years. Is your friend correct? Explain.

Answer:

yes , my friend is correct the table discribes years and weeks.

Question 11.

**DIG DEEPER!**

How many days is Newton thinking of?

Answer:

one week is equal to 7 days

one day is equal to 24 hours

7 x 2 = 14

14 x 24 = 336 hours

yes newton is correct.

Question 12.

**Modeling Real Life**

You have 1\(\frac{1}{2}\) hours before dinner. You want to watch a movie that is 118 minutes long. Do you have enough time to watch the entire movie?

Answer: no

Question 13

**DIG DEEPER!**

The world record for holding a person vertically overhead with one hand is 1\(\frac{1}{12}\) minutes. The world record for holding a person horizontally overhead with one hand is 76 seconds. Which world record is longer? How much longer?

Answer:

one minute is equal to 60 sec

13/ 12 = 1.08

1. 08 x 60 = 65 sec

The world record for holding a person horizontally overhead with one hand is 76 seconds.

is longer

**Review & Refresh**

**Find the product. Check whether your answer is reasonable.**

Question 14.

Estimate: _____

418 × 3 = _____

Answer:

1254

Question 15.

Estimate: _____

729 × 5 = _____

Answer:

3645

Question 16.

Estimate: _____

9 × 3,026 = _____

Answer:

27234

### Lesson 11.8 Problem Solving: Elapsed Time

**Explore and Grow**

Use a clock to help answer each question.

How much time has passed since you woke up?

How much time has passed since school started?

Answer:

If my school started at 9 o’ clock and now it is 3 o’ clock then the time passed is 6 hours

**Construct Arguments**

Explain to a partner how you found your answers.

Answer:

The time which had passed away we have to calculate that.

**Think and Grow: Problem Solving: Time Intervals**

**Example**

A dinosaur museum closes in 1\(\frac{1}{2}\) hours. Do you have enough time to spend 20 minutes at each of 4 exhibits in the museum?

**Understand the Problem**

What do you know?

• The museum closes in 1\(\frac{1}{2}\) hours.

• You want to spend 20 minutes at at each of 4 exhibits.

What do you need to find?

• You need to find whether you have enough time to spend 20 minutes at the each of 4 exhibits.museum closes.

Answers:

a. 1 x 1/2 = 3/ 2

1.5

one hour is equal to 60 min

1.5 x 60 = 90 min

b. there are 4 exhibits each takes 20 min

4 x 20 = 80 mins

90 – 80 = 10

c. so the time is sufficient

**Make a Plan**

How will you solve?

• Find the number of minutes until the museum closes.

• Find the total number of minutes it takes to visit the exhibits.

**Solve**

Step 1: Find the number of minutes until the museum closes.

There are ______ minutes in 1 hour.

1\(\frac{1}{2}\) × ____ = ______

There are _____ minutes until the museum closes.

Step 2: Find how many minutes it takes to visit the exhibits.

It takes _____ minutes to visit the exhibits, which is ______ than 90 minutes.

You ______ have enough time to visit the exhibits.

**Show and Grow**

Question 1.

You have a total of 9\(\frac{1}{2}\) minutes to complete 4 tasks in a video game. Do you have enough time to spend 150 seconds on each task?

Answer:

total time is 9 x1/2

19 / 2

= 9.5 min

9.5 x 60 = 570 sec

there are 570 sec in total

we have 4 tasks 150 s each

4 x 150= 600

600 – 570 = 30

we want more thirty sec to finish the task.

**Apply and Grow: Practice**

**Understand the problem. What do you know? What do you need to find? Explain.
**Question 2.

You spend 1\(\frac{1}{4}\) hours exploring the woods. Then you spend 25 minutes sitting at a campﬁre. How many total minutes do you spend exploring the woods and sitting at the campﬁre?

Answer:

my spend time is 1 x 1/4 = 5/4

=1.25

one hour is equal to 60 minutes 25 minutes sitting at a campﬁre.

1.25 x 60 = 75

Total minutes do me spend exploring the woods and sitting at the campﬁre is 75 minutes

Question 3.

A bodybuilder spends 2\(\frac{1}{2}\) hours lifting weights. She spends 20 minutes running. How many more minutes does she spend lifting weights than running?

Answer:

lifting weights is 2 x 1/2

3/2 = 1.5

1.5 x 60 = 90 min

running = 20

90 – 20= 70

she spend lifting weighs than running is 70 minutes.

**Understand the problem. Then make a plan. How will you solve? Explain.**

Question 4.

You visit an animal shelter for 1\(\frac{3}{4}\) hours. You spend an equal amount of time with each of the 7 animals. How many minutes do you spend with each animal?

Answer:

The animal shelter visiting time is 1 x 3/4 =

7 / 4 = 1.75

one hour is equal to 60 minutes

1.75 x 60= 105 minutes

an equal amount of time with each of the 7 animals

105 / 7

= 15minutes is the time me spend with each animal

Question 5.

A skate park closes in 3\(\frac{1}{4}\) hours. Do you have enough time to spend 15 minutes practicing each of 13 different skateboard tricks?

Answer:

A skate park closes at 13/4

3.25

one hour is equal to 60 minutes

3.25 x 60 = 195 min

15 x 13 =195

yes I have enough time to spend 15 minutes practicing each of 13 different skateboard tricks.

Question 6.

A basketball team practices drills for 20 minutes and then scrimmages for 40 minutes. The overall practice time is divided evenly into3 sessions. How many minutes is each session?

Answer:

drills = 20 min

scrimmages= 40 mins

drills + scrimmages

20 + 40 =60min

the total time is 60 min

it is divided to 3 equal parts that is 60/ 3 = 20 mins

Question 7.

A high school music concert is 55 minutes long. The band plays25 minutes to start the concert. The rest of the concert time is divided equally among the choir, band, orchestra, and jazz ensemble. For how many minutes does the orchestra play?

Answer:

Total time is 55 mins

25 mins to start the the concert

55-25= 30

there are 4 types

choir, band, orchestra, and jazz ensemble

orchestra plays 7.5 mins long

**Think and Grow: Modeling Real Life**

**Example**

Field day starts at 12:15 .. and ends at 3:30 ..You spend an equal amount of time at each activity.How much time do you spend at each activity?

Think: What do you know? What do you need to find? How will you solve?

Step 1: How long is field day?

Step 2: How many minutes long is field day?

There are ______ minutes in 1 hour. _____ × _____ = _____

____ + 15 = ______ Add 15 minutes.

Field day is ______ minutes long.

Step 3: Divide the total amount of time by the number of field day activities.

You spend _____ minutes at each activity.

Answer:

The field day is 3 hours 15 mins long

There are 60 minutes in 1 hour. 60 × 60 x 60 = 180

180+ 15 = Add 15 minutes.

Field day is 195 minutes long.

Divided the total amount of time by the number of field day activities.

**Show and Grow**

Question 8.

You start exercising at 6:30 A.M. and finish at 7:45 A.M. You spend an equal amount of time stretching, walking, and running. How much time do you spend doing each exercise?

Answer:

The total exercise time is 6:30 – 7.45 = 1hr 15 min

1 hr = 60 min

60 + 15 = 75/3 = 25 mins

time do you spend doing each exercise is 25 mins

### Problem Solving: Elapsed Time Homework & Practice 11.8

**Understand the problem. Then make a plan. How will you solve? Explain.**

Question 1.

It takes Descartes 1\(\frac{1}{4}\) minutes to run 3 laps around his house. Each lap takes him the same amount of time. How many seconds does it take him to run each lap?

Answer:

5/4 = 1.25 x 60 = 75sec

one minute is equal to 60 sec

Each lap takes him the same amount of time 75 seconds it take him to run each lap.

Question 2.

You watch television for 60 minutes. There are 18 minutes of commercials. The rest of the time is divided evenly between 2 shows. How many minutes long is each show?

Answer:

Total watching time is 60m

18 mins for commercial 60 – 18 = 42

The rest of the time is divided evenly between 2 shows 42/2 = 24 minutes long is each show.

Question 3.

You spend 5\(\frac{1}{2}\) hours at the park this week. You spend 210 fewer minutes at the library than you do at the park. How many minutes do you spend at the library?

Answer:

hours at the park this week is 11/2 = 5.5

5.5 x 60 = 330

330 – 210 = 120 minutes.

Question 4.

Your class spends \(\frac{1}{4}\) hour setting up an experiment. You spend 55 more minutes recording data than you do setting up the experiment. For how many minutes do you record data?

Answer:

1/4 of hour is 60/4 =15min

You spend 55 more minutes recording data than you do setting up the experiment.

55-15 = 40 minutes you record data.

Question 5.

You have 7\(\frac{1}{2}\) minutes left to successfully complete 3 rock climbing walls. It normally takes 155 seconds to climb each wall. Do you have enough time to climb all three walls?

Answer:

15/2 = 7.5

=450 one min is equal to 60 sec

It normally takes 155 seconds to climb each wall 155 x 3 = 465

time to climb all three walls 465 – 450 = 15 sec less time.

The time does not enough to climb all the three walls

Question 6.

**Writing**

Write and solve a two-step word problem involving elapsed time.

Answer :

Sam and his mom arrive at the doctor’s office at 2:30 p.m. They see the doctor at 3:10 p.m. How long was their wait?

40 mins

Question 7.

**Modeling Real Life**

A family attends a family expo from 1:30 P.M. to 5:15 P.M. They spend an equal amount of time at each activity. How many minutes do they spend at each activity?

Answer:

There are 5 family expo activities timing from 1:30 to 5:30 is 4 hours

4 x 60 = 240 min

240/5 = 48 min they spend an equal amount of time at each activity.

**Review & Refresh**

**Find the product.**

Question 8.

20 × 50

Answer:

100

Question 9.

38 × 30

Answer:

1140

Question 10.

60 × 82

Answer:

4920

### Lesson 11.9 Mixed Measures

**Explore and Grow**

Measure your height, the height of a classmate, and the height of your teacher. Write each height in the table.

Who is taller, you or your classmate? How much taller?

Who is taller, you or your teacher? How much taller?

Answer:

**Structure**

Without measuring, how can you find each height in inches?

Answer:

by multiplying with 12

**Think and Grow: Adding and Subtracting Mixed Measures**

**Example**

Add 3 feet 4 inches and 2 feet 5 inches.

The differences is ____ hours ____ minutes

Answer:

The differences is 2 hours 48 minutes

**Show and Grow**

**Add or Subtract**

Question 1.

Answer:

5 days 21 hours

Question 2.

Answer:

3 T 1500 lb

Question 3.

Answer:

2 gal 14 c

**Apply and Grow: Practice**

**Add or Subtract**

Question 4.

Answer:

3 yr 7 mon

Question 5.

Answer:

8 lb 11 oz

Question 6.

Answer:

9 yd 2 ft

Question 7.

Answer:

12 gal 3 qt

Question 8.

Answer:

43 sec

Question 9.

Answer:

16 mi 591 yd

Question 10.

Answer:

1 wk 5 d

Question 11.

Answer:

2 pt 1 c

Question 12.

Answer:

4 yr 36 wk

Question 13.

Answer:

3 qt 1 pt

Question 14.

Answer:

3 mi 4851ft

Question 15.

Answer:

12 gal 9 pt

Question 16.

A truck driver transports new vehicles. The total weight of the cargo is 14 tons 1,544 pounds. The truck driver drops off 1 car that weighs 1 ton1,693 pounds. What is the weight of the cargo now?

Answer:

12 ton 1851 pounds

Question 17.

**DIG DEEPER!**

Find the unknown numbers.

Answer:

Question 18.

**YOU BE THE TEACHER**

Newton finds the difference between 5 yards 1 foot and 2 yards 2 feet. Is Newton correct? Explain.

**Think and Grow: Modeling Real Life**

A commercial airplane is 121 feet 6 inches shorter than Air Force One. How long is the commercial airplane?

Subtract 121 feet 6 inches from the length of Air Force One.

The commercial airplane is ______ feet ______ inches long.

Answer:

The commercial airplane is 110 feet 4 inches long.

**Show and Grow**

Question 19.

An art teacher has 3 quarts 1 pint of yellow paint. The teacher has 1 quart 2 pints less red paint than yellow paint. How much red paint does the teacher have?

Answer: 1 quart 3 pints

Question 20.

A 1-month-old puppy weighs 7 pounds 3 ounces. How much does the puppy weigh after 3 months?

Answer:

10 lb 2 oz

Question 21.

DIG DEEPER!

How long do you work on your science fair project in all?

Answer: each part is raising by hundred

### Mixed Measures Homework & Practice 11.9

**Add or Subtract**

Question 1.

Answer:

4 lb 7 oz

Question 2.

Answer:

2 min 5 sec

Question 3.

Answer:

3 mi 825 ft

Question 4.

Answer:

1 t

Question 5.

Answer:

6 gal 2 qt

Question 6.

Answer:

5 hr 47 min

Question 7.

ans:

9 yd 2 ft

Question 8.

Answer:

6 pt

Question 9.

Answer:

2 ft 10 in

Question 10.

You are making punch. You use 3 quarts 1 pint of pineapple juice and 2 quarts 1 pint of orange juice.How much juice do you use?

Answer:

5 quart 2 pints

Question 11.

**Writing**

Explain when you need to regroup when subtracting mixed measures.

Answer:

To find out the lengths

Question 12.

**Modeling Real Life**

How much longer did it take one person to cycle the length of South America than a two-person team?

Answer:

8 days 4 hours 2 minutes

Question 13.

**DIG DEEPER!**

It rains 1 inch each day for 3 days. A meteorologist says that if the rain had been snow,each inch of rain would have been 1 foot 1 inch of snow. What would have been the total snowfall for the 3 days?

Answer:

3 foot 3 inch

Review & Refresh

Subtract

Question 14.

\(\frac{5}{10}-\frac{1}{10}\) = ______

Answer:

0.5 -0.1

= 0.4

Question 15.

\(\frac{9}{5}-\frac{4}{5}\) = ______

Answer:

1.8-0.8=

1

Question 16.

\(\frac{11}{12}-\frac{7}{12}\) = _____

Answer:

0.91-0.58=

0.33

### Understand Measurement Equivalence Performance Task

You and a friend make a gravity-powered racer for an upcoming race.

Question 1.

The rules state that the racer must be less than 40 inches wide and less than 96 inches long. The weight of the racer must be less than 70 pounds.

a. Your racer is 2 feet wide and 1 yardlong. Does your racer meet the size requirements? Explain.

b. Your racer weighs 65 pounds without wheels, and each wheel weighs 22 ounces. Is your racer under the weight limit? Explain.

Answer:

a) one feet is equal to 12 inch

2 x 12 = 24

the required measurement is 40 inch

the racer does not met the requirments.

b) one pound equal to 16 ounce

so the racer original weight is 64 pounds 4 ounce

the required weight is 70 pounds /

so he is qualified

Question 2.

You test your racer on a track. The length of the track is \(\frac{1}{2}\) mile. What is the length of the track in feet?

Answer:

one mile is equal 5280 feet

5280/ 2 = 2640 feet

the track length is 2640

Question 3.

The table shows the race times for all of the teams.

a. Make a line plot to display the data.

b. How many seconds later did the last team finish than the first team?

Answer: after one minute

Question 4.

After the race, you drink 5 cups of water and your friend drinks 3 pints of water. Who drinks more water? How much more?

Answer:

my friend drank the more water

one pint is equal to 2 cups

3 x 2 = 6

I drank 5 cups my friend drink 6 cups

### Understand Measurement Equivalence Activity

**Conversion Flip and Find**

**Directions:**

1. Choose which conversion cards you will play with.

2. Place the cards face down on the board.

3. Players take turns flipping two cards.

4. If your two cards show equivalent measures, keep the cards. If your cards show different measures, ﬂip the cards back over.

5. The player with the most matches wins!

### Understand Measurement Equivalence Chapter Practice

**11.1 Length in Metric Units**

**Find the equivalent length.**

Question 1.

7 km = _____ m

Answer:

7 km = 7000m

Explanation:

one kilometer is equal to 1000m

7 x 1000= 7000m

so there are 7000 meter in 7 km

Question 2.

9 m = _____ mm

Answer:

9 m = 9000mm

Explanation:

one meter is equal to 1000 millimeter

9 x 1000 = 9000

so there are 9000 mm in 9 m.

Question 3.

3 cm = _____ mm

Answer:

3 cm = 30 mm

Explanation:

one cm is equal to 10 mm

3 x 10 = 30mm

so there are 30mm in 3 cm

Question 4.

5 km = _____ cm

Answer:

5 km = 500000 cm

Explanation:

one kilometer is equal to 1000 m

5 x 1000 = 5000m

one meter is equal to 100 cm

5000 x 100 = 500000cm.

**11.2 Mass and Capacity in Metric Units**

**Find the equivalent mass.**

Question 5.

3 kg = _____ g

Answer:

3 kg = 3000g

Explanation:

one kg is equal to 1000 g

3 x 1000 = 3000g

so there are 3000g in 3 kg.

Question 6.

7 kg = _____ g

Answer:

7 kg = 7000g

Explanation:

one kg is equal to 1000g

7 x 1000 = 7000g

so there are 7000 g in 7 kg

Question 7.

8 kg = _____ g

Answer:

8 kg = 8000g

Explanation:

one kg is equal to 1000 grams

8 x 1000 = 8000g

so there are 8000g in 8 kg

Question 8.

46 kg = ____ g

Answer:

46 kg = 46000g

Explanation:

one kg is equal to 1000 g

46 x 1000= 46000g

so there are 46000 g in 46kgs

**Find the equivalent capacity.**

Question 9.

2 L = _____ mL

Answer:

2 L = 2000ml

Explanation:

one liter is equal to 1000ml

2 x 1000 = 2000l

so there are 2000 ml in 2L

Question 10.

10 L = _____ mL

Answer:

10 L = 10000ml

Explanation:

one liter is equal to 1000ml

10 x 1000 = 10000l

so there are 10000 ml in 10L

Question 11.

4 L = ____ mL

Answer:

4 L = 4000ml

Explanation:

one liter is equal to 1000ml

4 x 1000 = 4000l

so there are 4000 ml in 4L

Question 12.

98 L = ____ mL

Answer:

98 L = 98000ml

Explanation:

one liter is equal to 1000ml

98 x 1000 = 98000l

so there are 98000 ml in 98L

Question 13.

What is the mass of the potatoes in grams?

Answer:

5 kg = 5000g

Explanation:

one 1 kg is equal to 1000g

5 x 1000 g = 5000g

**11.3 Length in Customary Units**

**Find the equivalent length.**

Question 14.

8 ft = ___ in.

Answer:

one feet is equal to 12 inch

8 x 12 = 96inch

Question 15.

10 yd = _____ ft

Answer:

10 yd = 30 ft

Explanation:

one yard is equal to 3 feet

10 x 3 = 30 feet

Question 16.

12 yd = _____ in.

Answer:

12 yd = 432 in.

Explanation:

one yard is equal to 3 feet

12 x 3 =36 feet

one feet is equal to 12 inch

36 x 12 = 432inch.

Question 17.

\(\frac{3}{4}\) mi = _____ yd

Answer:

one mile is equal to 1760 yard

3/ 4 of 1760 is 1320

Question 18.

**Modeling Real Life**

You have a 4-foot-long roll of magnetic tape. You use 2 inches for each picture you hang on the refrigerator. How many pictures can you hang?

Answer:

I have 4 foot of magnetic tape

one foot is equal to 12 inch

4 x 12 = 48

48/2 = 24 pictures i can paste

**11.4 Weight in Customary Units**

**Find the equivalent weight.**

Question 19.

4 T = ______ lb

Answer:

4 t = 8000lb

Explanation

one ton is equal to 2000 pounds

4 x 2000 = 8000 pounds

Question 20.

15 lb = _____ oz

Answer:

15 lb = 240 oz

Explanation:

one pound is equal to 16 ounce

15 x 16 = 240 ounce

there are 240 ounce in 15 pounds

Question 21.

12 lb = _____ oz

Answer:

12 lb = 192 oz

Explanation:

one pound is equal to 16 ounce

12 x 16 = 192 ounce

there are 192 ounce in 12 pounds

Question 22.

15 T = ______ lb

Answer:

15 t = 30000lb

Explanation

one ton is equal to 2000 pounds

15 x 2000 = 30000 pounds

Question 23.

2\(\frac{1}{2}\) lb = _____ oz

Answer:

one pound is equal to 16 ounce

2. 5 pound is equal to 40 ounce

Question 24.

\(\frac{3}{4}\) T = _____ lb

Answer:

1500 pounds

**11.5 Capacity in Customary Units**

**Find the equivalent capacity.**

Question 25.

6 pt = _____ c

Answer:

6 pt = 12 cups

Explanation:

one pint is equal to 2 cups

6 x 2 = 12 cups

so there are 12 cups in 6 pints

Question 26.

3 qt = ______ pt

Answer:

3 qt = 6 pt

Explanation:

one quart is equal to 2 pints

3 x2 = 6 pints

so there are 6 pints 3 quarts

Question 27.

9 gal = ______ qt

Answer:

9 gal = 36 quarts

Explanation:

one gallon is equal to 4 quarts

9 x 4 = 36 quarts

so there are 36 quarts in 9 gal

Question 28.

2 gal = ______ pt

Answer:

2 gal = 16 pt

Explanation:

one galllon is equal to 4 quarts

one quart is equal to 2 pints

2 x 4 = 8 quarts

8 x 2 = 16 pints

Question 29.

10\(\frac{3}{4}\) gal = ______ pt

Answer:

3 / 4 of one gallon

10. 75 gal is equal to 86 pints

Question 30.

6\(\frac{1}{2}\) pt = _____ c

Answer:

6 x 0.5= 6.5

6.5 x 2= 13 cups

**11.6 Make and Interpret Line Plots**

Question 31.

A scientist is studying the lengths of 15 sea horses. Make a line plot to display the data.

Answer:

Question 32.

**Precision**

Use the line plot in Exercise 31. How many times as many \(\frac{3}{8}\)-inch sea horses are there as \(\frac{1}{4}\)-inch sea horses? Explain.

Answer: 8 times of 3/8 sea horses are there.

Question 33.

**Reasoning**

In Exercise 31, are most of the sea horses less than \(\frac{5}{8}\) inch long? Explain.

Answer:

each sea horse is greater than 5/8.

according to the table

**11.7 Units of Time**

**Find the equivalent amount of time.**

Question 34.

5 yr = _____ wk

Answer:

one year is equal to 52 week

5 x 52 = 260wk

Question 35.

15 min = _____ sec

Answer:

one minute is equal to 60 sec

15 x 60 = 900 sec

Question 36.

\(\frac{1}{3}\) d = _____ h

Answer:

one day is equal to 24 hours

24/ 3 = 8 hours.

Question 37.

1\(\frac{1}{2}\) yr = _____ wk

Answer:

one year is equal to 52 week

one and half year is equal to 76 wk

**11.8 Problem Solving: Elapsed Time**

Question 38.

A gymnastics competition is 2\(\frac{3}{4}\) hours long. The competition time is divided equally among 5 age groups. For how many minutes does each age group perform?

Answer:

each team participates 41 minutes long

**11.9 Mixed Measures**

**Add or subtract**

Question 39.

Answer:

11 yr 10 mo

Question 40.

Answer:

8 gal 1 qt

Question 41.

Answer:

11 pints 1 cup

Question 42.

Answer:

6 yd 2 feet

one yard is equal to 3 feet.

Question 43.

Answer: 4 days 15 h.

one day is equal to 24 hours

Question 44.

Answer:

8 miles 1651 yd

one mile is equal to 1760 yards

**Understand Measurement Equivalence Cumulative Practice**

Question 1.

Four laps around a track is equal to1 mile. You run 3 laps around the track. Which number line show show many miles you run?

Answer:

option b

Question 2.

When estimating to find the product of 25 and 32, which expressions will give an estimate that is greater than the product of 25 and 32?

Answer:

option a

Question 3.

A bottle of sand art is \(\frac{3}{8}\) full of purple sand and \(\frac{3}{8}\) full of blue sand. The rest of the bottle is full of green sand. How much of the bottle is filled with both purple sand and blue sand?

Answer:

option c

is true

Question 4.

Which statements are true?

Answer:

option c is wrong

Question 5.

Compare the fractions using benchmarks. Which comparisons are true?

Answer:

option b is wrong statement

Question 6.

What number is shown by the model?

Answer:

option c

5/10 = 0.5

Question 7.

Which fraction cannot be written as a mixed number?

Answer:

option d

Question 8.

What is the missing number in _____ ÷ 2 = 400?

A. 200

B. 800

C. 8,000

D. 600

Answer:

option b

800/ 2 = 400.

Question 9.

Which statements are true?

Answer:

option c

1000 m is equal to 1 kilometer

Question 10.

Multiply 2 × 3\(\frac{5}{6}\).

A. 6\(\frac{5}{6}\)

B. 7\(\frac{4}{6}\)

C. 5

D. \(\frac{5}{36}\)

Answer:

option a

Question 11.

Which one does not belong?

A. \(\frac{3}{10}\)

B. 0.30

C. 0.03

D. \(\frac{30}{100}\)

Answer:

option d

Question 12.

Which expression shows \(\frac{4}{3}\) as a sum of unit fractions?

Answer:

option d

4 / 3 is represented as 1 / 3 + 1 / 3 + 1/ 3 + 1 / 3.

Question 13.

Look at the dot pattern below. How many dots are in the 112th figure?

Answer: 448 dots

Question 14.

Which show 5 hundredths?

Answer:

option a 5/100

Question 15.

A child ticket costs $12 less than an adult ticket. In 1 day, 25 adult tickets and 34 child tickets are sold.

Part A How much money was raised from adult tickets?

Part B How much money was raised from child tickets?

Part C How much more money was raised from child tickets than from adult tickets? Explain.

Answer:

a. $65

b. $12

c. $ 53

Question 16.

Which measures are equivalent to8 gallons?

Answer:

32 quarts

Question 17.

You want to find 4 × 598 using the Distributive Property. You begin solving as shown. What is your next step?

4 × 598 = 4 × (600 – 2)

A. 4 × 600 × 2

B. (4 × 600) + (4 × 2)

C. (4 × 600) – (4 × 2)

D. (4 × 600) – 2

Answer:

option c

formula: a x (b – c)

4 (600-2)

4 x 600 – 4 x2

Question 18.

A recipe calls for \(\frac{3}{4}\) cup of peanut butter. You make 3 batches of the recipe. Which expressions show how many cups of peanut butter you use?

Answer:

3 x 3/4

option c

### Understand Measurement Equivalence STEAM Performance Task

An electrical circuit is a pathway of wires that electricity can flow through. Many homes have an electrical panel that provides power to electrical circuits. The circuits are connected to electrical outlets throughout the home.

Question 1.

Watts are the measure of how much power a circuit can provide. Every electrical current has two components: volts and amps.

Watts = volts × amps

a. For a wire that carries 120 volts and 20 amps, how many watts of power are available?

b. For a wire that carries 240 volts and 15 amps, how many watts of power are available?

Answer:

a. watts = volts x amps

120 x 20 = 2400

2400 watts of power are available

b. watts = volts x amps

240 x 15= 3600

for a wire that carries 240 v and 15 a the power of watts available are 3600.

Question 2.

An electrician checks the circuits in your house.

a. One of the circuits has a maximum capacity of 15 amps. The electrician recommends that you only use \(\frac{4}{5}\) of the total amps on the circuit. How many amps should be used?

b. The wire from this 15-amp circuit carries 120 volts. How many watts should be used on this circuit?

c. Your toaster is plugged in to the 15-amp circuit. Use the table to find another appliance that can be used on the same circuit and stay within the recommended amount of amps.

d.Can you run the microwave and the refrigerator on the15-amp circuit? Explain.

Answer:

yes by the above table recordings

Question 3.

You are decorating for a party at your house.

a. There are 15 bulbs on a string of lights. Each bulb uses 12 watts of energy. How many watts of energy does one string of lights use?

b. You connect 7 strings of lights together. Can the lights be plugged into a 15-amp circuit, or is a 20-amp circuit needed? Explain.

c. The length of each string is 20\(\frac{3}{4}\) feet. What is the total length of all 7 strings of lights?

d. Five of the bulbs burn out. Of the bulbs that are lit, \(\frac{2}{10}\)are purple, \(\frac{1}{10}\) are blue, \(\frac{2}{10}\) are green, and the rest are red.What fraction of the bulbs are red?

e. How many more bulbs are purple than blue?

f. The lights are plugged in from 4:35 P.M. until 9:35 P.M. Each hour that the lights are on costs about $0.18 in electricity.What is the total cost to have the lights on for the party?

Answer:

a. one bulb = 8 watts

one string = 15 bulbs

8 x 15 = 120 watts

b. 7 x 120 = 840 watts make an ampire 15 amp wire is enough

1 amp = 120 watt

15 amp 15 x 120 = 1800 watt capacity circuit

c. 145

d. 0.2 are purple

0.1 is blue

0.2 are red

the fraction of the bulbs are red

e. 0.1bulbs are purple than blue

f. 5 x 0.18

= 5.08

is the total cost to have the lights on for the party

*Conclusion:*

We wish the information provided in this article regarding the Big Ideas Math Answers Grade 4 Chapter 11 Understand Measurement Equivalence Circumference, Area, and Volume is beneficial for all the students. Make use of the given links and practice well for the exams. If you have any queries about Big Ideas Math Answers Grade 4 Chapter 11 Understand Measurement Equivalence you can post your comments in the below section.