All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 11 Lesson 2 Convert Customary Units of Length will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 11 Lesson 2 Convert Customary Units of Length
You can multiply to convert, or change between, units.
Math in My World
Example 1
Maria’s dog, Cory, loves to jump into water. Cory’s longest jump is 7 yards. How many feet are in 7 yards?
You know the number of yards and want to find the number of feet. Yards are a larger unit than feet. One yard is 3 times as long as one foot. So, use multiplication.
7 yd = ? ft
Multiply by 3 because 1 yard = 3 feet. 7 × 3 = _______________
So, there are _____________ feet in 7 yards.
Check
You can check by drawing a picture. You know that 3 feet = 1 yard.
Answer:
Multiply by 3 because 1 yard = 3 feet. 7 × 3 = 21
So, there are 21 feet in 7 yards.
Example 2
Convert 3\(\frac{1}{2}\) feet to inches.
3\(\frac{1}{2}\) ft = ?in.
1. Convert the whole number.
One foot is 12 times as long as one inch.
So, use multiplication.
3 × 12 = _______________
2. Convert the fraction.
Since 1 foot = 12 inches, half of a foot equals half of 12, or 6 inches.
3. Add the parts.
36 inches + 6 inches = 42 inches
So, there are _______________ inches in 3\(\frac{1}{2}\) feet.
Answer:
3 × 12 = 36 inches.
So, there are 42 inches in 3\(\frac{1}{2}\) feet.
Talk Math
When converting from larger units to smaller units, do you need to multiply or divide?
Answer:
When converting from larger units to smaller units, we need to multiply.
For example, 1 feet equals 12 inches.
To convert 3 feet in inches, we need to multiply it with 12. Thus, 3 feet will be equal to 3×12=36 inches.
Guided Practice
Complete each conversion table to show measurement equivalents.
Question 1.
Answer:
As we need to convert larger units to smaller units, we need to multiply.
1 feet equals 12 inches.
2 feet will be 2×12=24 inches.
3 feet will be 3×12=36 inches.
4 feet will be 4×12=48 inches.
Question 2.
Answer:
As we need to convert smaller units to larger units, we need to divide.
36 inches equals 1 yard.
108 inches will be 108÷36 = 3 yards.
216 inches will be 216÷36 = 6 yards.
252 inches will be 252÷36 = 7 yards.
Independent Practice
Complete each conversion table.
Question 3.
Answer:
As we need to convert larger units to smaller units, we need to multiply.
1 yard equals 3 feet.
2 yards will be equal to 2×3=6 feet.
3 yards will be equal to 3×3=9 feet.
4 yards will be equal to 4×3=12 feet.
5 yards will be equal to 5×3=15 feet.
Question 4.
Answer:
As we need to convert larger units to smaller units, we need to multiply.
1 yard equals 36 inches.
2 yard will be equal to 2×36=72 inches.
4 yard will be equal to 4×36=144 inches.
5 yard will be equal to 5×36=180 inches.
8 yard will be equal to 8×36=288 inches.
Question 5.
Answer:
As we need to convert larger units to smaller units, we need to multiply.
1 feet equals 12 inches.
3 feet will be 3×12=36 inches.
6 feet will be 6×12=72 inches.
9 feet will be 9×12=108 inches.
12 feet will be 12×12=144 inches.
Question 6.
Answer:
As we need to convert larger units to smaller units, we need to multiply.
1 mile equals to 5280 feet.
2 miles will be equal to 2×5280 feet = 10560 feet.
3 miles will be equal to 3×5280 feet = 15840 feet.
4 miles will be equal to 4×5280 feet = 21120 feet.
Algebra Find each unknown number.
Question 7.
11 ft = 
in.
= _______________
Answer:
1 feet equals 12 inches.
As we need to convert larger units to smaller units, we need to multiply.
11 feet will be 11×12=132 inches.
Question 8.
18 yd = ft
= _______________
Answer:
1 yard equals 3 feet
As we need to convert larger units to smaller units, we need to multiply.
18 yards will be equal to 18×3=54 feet.
Question 9.
2\(\frac{1}{3}\) yd = ft
= _______________
Answer:
1 yard equals 3 feet.
1. Convert the whole number.
One yard is 3 times as long as one feet.
So, use multiplication.
2 × 3 =6 ft.
2. Convert the fraction.
Since 1 yard = 3 ft, one-third of a yard equals 1 ft.
3. Add the parts.
6 ft + 1ft = 7 ft
So, there are 7 ft in 2\(\frac{1}{3}\) yd.
Question 10.
How many times longer is one yard than one foot?
Answer:
One yard is equal to three times of 1 foot.
1 yd = 3 ft.
Question 11.
How many times longer is one mile than one foot?
Answer:
One mile is equal to 5280 times of 1 foot.
1 mile = 5280 ft.
Question 12.
How many times shorter is one inch than one foot?
Answer:
One foot equals to 12 inches.
One inch equals to one-twelfth of a foot.
One inch is \(\frac{1}{12}\) shorter than one foot.
Question 13.
How many times shorter is one foot than one yard?
Answer:
One yard equals to 3 foot.
One foot equals to one-third of a yard.
1 foot is \(\frac{1}{3}\) shorter than one yard.
Problem Solving
Question 14.
Ramiro sits 5\(\frac{1}{2}\) t feet from the bookshelf. Michelle sits 64 inches from the bookshelf. Who sits closer to the bookshelf?
Answer:
Given that: Ramiro sits 5\(\frac{1}{2}\) t feet from the bookshelf. Michelle sits 64 inches from the bookshelf.
As the given units are different, we will first convert the larger units to smaller units.
Conversion of feet to inches:
1. Convert the whole number.
One feet is 12 times as long as one inch.
So, use multiplication.
5 × 12 = 60 inches.
2. Convert the fraction.
Since 1 feet = 12 in,half of feet will be 6 in.
3. Add the parts.
60 in + 6 in = 66 in.
So, 5\(\frac{1}{2}\) feet will be equal to 66 in.
Ramiro sits 66 inches and Michelle sits 64 inches from the bookshelf.
Thus, we can say that Michelle sits closer to the bookshelf.
Question 15.
The Costa family hiked a trail that was 2 miles in one direction. How many feet was the hike round-trip?
Answer:
Given that: The Costa family hiked a trail that was 2 miles in one direction.
1 mile equals to 5280 ft.
The trip was for 2 miles in one direction.
Therefore, it will be 2×5280=10560 ft in one direction.
Round trip will be sum of trip distance in one direction with the return trip distance.
10560+10560=21120 feet.
The total round trip distance was 21120 feet.
Question 16.
Mathematical PRACTICE Justify Conclusions Sumi lives 2 miles from school. Valerie lives 10,542 feet from school. Who lives closer to school? Explain your answer.
Answer:
Given that: Sumi lives 2 miles from school. Valerie lives 10,542 feet from school.
1 mile equals to 5280 ft.
2 miles will be equal to 2×5280=10,560 ft
Sumi lives 10,560 feet and Valerie lives 10,542 feet from school.
Valerie lives closer to school,because she stays at shorter distance from school than Sumi.
HOT Problems
Question 17.
Mathematical PRACTICE Make Sense of Problems Darin is 4 feet 10 inches tall. His brother is 68 inches tall. How many inches taller is Darin’s brother than Darin?
Answer:
Given that: Darin is 4 feet 10 inches tall. His brother is 68 inches tall.
As the given units are different, we will first convert the larger units to smaller units.
Conversion of feet to inches:
1 feet equals 12 inches.
4 feet will be equal to 4×12=48 inches.
Darin is 4 feet 10 inches tall, which is 48 in + 10 in = 58 inches.
Difference between Darin’s brother and Darin will be 68-58=10 inches.
Darin’s brother is 10 inches taller than Darin.
Question 18.
Mathematical PRACTICE Model Math Write a real-world problem involving the conversion of customary lengths. Solve.
Answer:
David travels 10 miles in one hour. How many feet of distance will he cover in one hour?
Given that: David travels 10 miles in two hours.
First we will convert the given miles to feet.
One mile equals 5280 feet.
10 miles will be equal to 10×5280=52800 ft.
He will cover 52800 ft of distance in one hour.
Question 19.
Building on the Essential Question How are yards and feet related?
Answer:
1 yard equals to 3 feet.
McGraw Hill My Math Grade 4 Chapter 11 Lesson 2 My Homework Answer Key
Practice
Convert units to complete each equation.
Question 1.
3 ft = _____________ in.
Answer:
1 ft equals to 12 in.
Therefore, 3 ft will be 3×12=36 in.
3 ft = 36 in.
Question 2.
6\(\frac{1}{2}\) ft = ________________ in.
Answer:
1 ft equals to 12 in.
1. Convert the whole number.
One feet is 12 times as long as one inch.
So, use multiplication.
6 × 12 = 72 inches.
2. Convert the fraction.
Since 1 feet = 12 in,half of feet will be 6 in.
3. Add the parts.
72 in + 6 in = 78 in.
Therefore, 6\(\frac{1}{2}\) ft = 78 in.
Question 3.
4 yd = _______________ in.
Answer:
1 yard equals to 36 in.
4 yd will be 4×36=144 in.
4 yd = 144 in.
Question 4.
760 yd = _______________ ft
Answer:
1 yard equals 3 ft.
760 yd will be 760 × 3 = 2280 ft.
760 yd = 2280 ft
Question 5.
7 ft = ______________ in.
Answer:
1 ft equals to 12 in.
7 ft will be 7×12=84 in.
7 ft = 84 in.
Question 6.
3 yd = ______________ in.
Answer:
1 yard equals to 36 in.
3 yd will be 3×36=108in.
3 yd = 108 in.
Question 7.
2\(\frac{1}{3}\) yd = ______________ ft
Answer:
1 yard equals 3 ft.
1. Convert the whole number.
One yard is 3 times as long as one feet.
So, use multiplication.
2 × 3 = 6 ft.
2. Convert the fraction.
One-third of 3 ft will be 1 ft.
3. Add the parts.
6 ft + 1 ft = 7 ft.
Therefore, 2\(\frac{1}{3}\) yd = 7 ft.
Question 8.
5 ft = _______________ in.
Answer:
1 ft equals to 12 in.
5 ft will be 5×12=60 in.
5 ft = 60 in.
Question 9.
64 ft = ________________ in.
Answer:
1 ft equals to 12 in.
64 ft will be 64×12=768 in.
64 ft = 768 in.
Question 10.
________________ in. = 3 yd
Answer:
1 yard equals 36 in.
3 yards will be equal to 3×36=108 in.
108 in. = 3 yd
Question 11.
________________ ft = 7 yd
Answer:
1 yard equals to 3 ft.
7 yd will be 7×3=21 ft.
21 ft = 7 yd
Question 12.
12\(\frac{1}{2}\) ft = ________________ in.
Answer:
1 ft equals to 12 in.
1. Convert the whole number.
One feet is 12 times as long as one inch.
So, use multiplication.
12 × 12 = 144 inches.
2. Convert the fraction.
Since 1 feet = 12 in,half of feet will be 6 in.
3. Add the parts.
144 in + 6 in = 150 in.
12\(\frac{1}{2}\) ft = 150 in.
Draw lines to match the equivalent lengths.
Problem Solving
13. Answer: 24 ft = ____
From the right side values, we can observe the values are given in ft, in and yd.
ft values will be equal to each other. So, we need to check for ft to in and ft to yd.
ft to in conversion:
1 ft equals to 12 in.
24 ft will be equal to 12×24=
1 ft equals to 3 ft.
24 ft will be equal to 24÷3=8 yd.
Therefore, 24 ft = 8 yd.
14. Answer: 120 in = ____
Now, the left over conversions are ft and in. Inch values will be equal to each other.
So, we need to convert in to ft.
1 ft equals to 12 in.
120 in will be 120÷12=10 ft.
Therefore, 120 in = 10 ft.
15. Answer: 2 yd = ____
Now, the left over conversions are ft and in.
yd to ft conevrsion:
1 yd equals to 3 feet.
2 yd will be 2×3=6 ft. As this option is not available, we will try doing the next conersion.
yd to in conevrsion:
1 yd equals to 36 in.
2 yd will be 2×36=72 in.
Therefore, 2 yd =72 in.
16.Answer: 5 yd = ____
yd to ft conevrsion:
1 yd equals to 3 feet.
5 yd will be 5×3=15 ft. As this option is not available, we will try doing the next conersion.
yd to in conevrsion:
1 yd equals to 36 in.
5 yd will be 5×36=180 in.
Therefore, 5 yd =180 in.
17.Answer: 20 yd = ____
yd to ft conevrsion:
1 yd equals to 3 feet.
20 yd will be 20×3=60 ft.
Question 18.
Mathematical PRACTICE Use Math Tools The Millers’ house is 25 yards from Mrs. Shapiro’s house. How many feet apart are the, two houses?
Answer:
Given that: The Millers’ house is 25 yards from Mrs. Shapiro’s house.
1 yard equals to 3 feet.
25 yards will be equal to 25×3=75 feet.
The two houses are 75 feet apart.
Question 19.
Kate walks half a mile to the library. How many yards does she walk?
Answer:
Given that: Kate walks half a mile to the library.
One mile equals to 1760 yards.
Half a mile will be 1760÷2=880 yd.
She will walk 880 yards.
Question 20.
Pe Ling needs 2 yards of fabric for a craft project. She has 3 feet already. How many inches of fabric does she still need?
Answer:
Given that: Pe Ling needs 2 yards of fabric for a craft project. She has 3 feet already.
1 yards equals to 3 ft.
So, she already has 1 yard of fabric with her. She needs 2 yards of fabric for a craft project.
She will still need 2 – 1 = 1 yard of fabric to complete her project.
Vocabulary Check
Write a vocabulary term in the correct space to complete each sentence.
convert
mile
Question 21.
One ______________ equals 5,280 feet.
Answer:
One mile equals 5,280 feet.
Question 22.
To ______________ from feet to inches, multiply by 12.
Answer:
To convert from feet to inches, multiply by 12.
Test Practice
Question 23.
Matthew is 2 yards tall. How many inches tall is he?
(A) 74 inches
(B) 72 inches
(C) 64 inches
(D) 60 inches
Answer:
1 yards equals to 36 inches.
2 yards will be equal to 2×36=72 inches.
Matthew is 72 inches tall.
Thus, Option B is correct.