We included **HMH Into Math Grade 5 Answer Key PDF** **Module 18 Lesson 2 Solve Customary and Metric Conversion Problems **to make students experts in learning maths.

## HMH Into Math Grade 5 Module 18 Lesson 2 Answer Key Solve Customary and Metric Conversion Problems

I Can solve problems involving conversions within the same system of measurement.

**Step It Out**

Question 1.

Mike observes and measures the distance a flea jumps in a straight line. If the flea jumps that same distance 8 consecutive times, how many centimeters does the flea jump?

A. Find the total distance the flea jumps.

Write an expression to find the total number of millimeters the flea jumps.

Answer: 150 millimeters X 8 times

Explanation:

flea jumps that same distance 8 consecutive times of 150 millimeters

Find the number of millimeters the flea jumps.

Answer: 1200 millimeters

Explanation:

flea jumps that same distance 8 consecutive times of 150 millimeters.

so total number of millimeters the flea jumps is 1200 millimeters.

Since 150 X 8 =1200

B. Convert the number of millimeters to a number of centimeters.

Write an equation that relates millimeters and centimeters.

Answer: 1200 millimeters = 120 centimeters

Explanation:

10 millimeters = 1 centimeter

1200 millimeters = 1200 ÷ 10 = 120 centimeters

Are you converting from a larger unit to a smaller unit or from a smaller unit to a larger unit?

Answer: smaller unit to a larger unit

Explanation:

I am converting smaller to larger since millimeters is small compared to centimeters

Write an expression to convert the number of millimeters the flea jumps to an equivalent number of centimeters.

Answer:

150 millimeters X 8 times

Explanation:

the flea jumps same distance of 8 consecutive times

150 millimeters X 8 times = 1200 millimeters

1200 ÷ 10 = 120 centimeters

C. How many centimeters does the flea jump?

Answer:

120 centimeters

Explanation:

the flea jumps same distance of 8 consecutive times

150 millimeters X 8 times = 1200 millimeters

1200 ÷ 10 = 120 centimeters

**Turn and Talk** How would your method change if you were converting from centimeters to millimeters?

Answer:

To convert centimeters to millimeters, all you have to do is multiply the number of centimeters by 10. For example, if you wanted to convert 5 centimeters to millimeters, you would just multiply 5 by 10 and get 50.

Question 2.

Mike fills the aquarium using a one-pint bottle. How many times will he need to fill the bottle in order to completely fill the aquarium?

A. Describe how to find the number of pints the aquarium holds.

Answer: To convert 15 gallons to pints

B. Complete the table to show equivalent measures.

Answer:

Explanation:

1 gallon = 4 quarts

1 gallon = 8 pints

1 gallon = 16 cups.

as 1 gallon = 8 pints we have to multiply the pints to the gallons

15 x 8

C. How do you convert a number of gallons to a number of pints? Explain how you know.

Answer:

If you need to convert gallons to pints, all you have to do is multiply the number of gallons by 8 to get its equivalent in pints

Explanation:

If you need to convert gallons to pints, all you have to do is multiply the number of gallons by 8 to get its equivalent in pints. Since

D. Write an equation to show how many pints there are in 15 gallons.

Answer:

let n be the pints

n = number of gallons x number of pints

n = 15 x 8

n = 120 pints

E. How many times will Mike need to fill the bottle in order to completely fill the aquarium?

Answer:

120 pint bottles

Explanation:

let n be the pints

n = number of gallons x number of pints

n = 15 x 8

n = 120 pints

**Turn and Talk** If Mike used a one-cup container to fill the aquarium instead, how would the conversion change?

Answer:

Explanation:

let n be the number of cups

n = number of gallons x number of cups

n = 15 x 16

n = 240 cups

If mike fills the aquarium with cups

he need to fill 240 cups of water.

**Check Understanding**

Question 1.

Another animal fact Mike learns is that African bush elephants eat 230 kilograms of grass and leaves each day. How many grams of grass and leaves do African bush elephants eat daily?

Answer:

230000 grams

Explanation:

African bush elephants eat 230 kilograms of grass and leaves each day.

to convert kilograms to grams

we have to multiply by 1000

230 x 1000 = 230000 grams

multiply the mass value by 1000

**Convert.**

Question 2.

2\(\frac{1}{2}\) lb to oz

Answer:

2\(\frac{1}{2}\) lb = 40 oz

Explanation:

2\(\frac{1}{2}\)

\(\frac{5}{2}\) x \(\frac{16}{1}\)

by cross multiplication

\(\frac{80}{2}\) = 40

To convert lb to oz

multiply the mass value by 16

Question 3.

272 mL to L

Answer:

272 mL = 0.272 L

Explanation:

\(\frac{272}{1000}\) = 0.272liter

divide the volume value by 1000

Question 4.

38.625 g to mg

Answer:

38.625 g = 38625 mg.

Explanation:

1 gram = 1000 mg

multiply the mass value by 1000

38.625 x 1000 = 38625mg

**On Your Own**

Question 5.

A large bowl has a liquid volume of 3\(\frac{1}{2}\) quarts. Javier fills the bowl using a 2-cup bottle. How many times will he need to fill the bottle in order to completely fill the bowl?

Answer:

7 times

Explanation:

A large bowl has a liquid volume of 3\(\frac{1}{2}\) quarts.

Javier fills the bowl using a 2-cup bottle.

3\(\frac{1}{2}\) = \(\frac{7}{2}\) quarts

\(\frac{7}{2}\) x 2 = 7

7 times he need to fill the bottle.

**Convert.**

Question 6.

396.5 cg to g

Answer:

396.5 cg = 3.965 g

Explanation:

Centigram to Gram

the value in cg divide by 100 to get a value in g.

396.5 by 100

so, decimal point moves to hundreds place

3.965 grams

Question 7.

13 c to qt

Answer:

13 c = 3.25 qt

Explanation:

1 quart = 4 cups

so, we have to divide by 4

divide the volume value by 4

13 c divide by 4 = 3.25 qt

Question 8.

27.385 m to mm

Answer:

27.385 m = 27385mm

Explanation:

1 meter = 1000 millimeter.

multiply the length value by 1000

27.385 x 1000 = 27385

the decimal value moves to zero’s place.

Question 9.

**Attend to Precision** A bag of nut and seed mix contains 6,250 milligrams of protein in each serving. How many grams of protein are in the whole bag?

How many milligrams of protein are in the whole bag?

Answer:

50000 mg

Explanation:

A bag of nut and seed mix contains 6,250 milligrams of protein in each serving.

6250 in one serving

1 bag = 8 servings

6250 x 8 = 50,000 milligrams of protein

50000 of protein in one whole bag

How will you convert from milligrams to grams?

Answer:

1 gram = 1000 mg

Explanation:

divide the mass value by 1000

50000 of protein in one whole bag

50000 divide by 1000 = 50grams

How many grams of protein are in the whole bag?

Answer:

50 grams

Explanation:

divide the mass value by 1000

50000 of protein in one whole bag

50000 divide by 1000 = 50grams

**On Your Own**

Question 10.

**STEM** A supersonic parachute will help scientists to land a spacecraft on Mars. The parachute will have to sustain a speed of 200 miles in one minute! How many yards is this in one minute?

Answer:

200 miles = 352,000 yards.

Explanation:

The parachute will have to sustain a speed of 200 miles in one minute

multiply the length value by 1760

200 x 1760 = 352,000 yards.

Question 11.

A striped dolphin weighs about 22\(\frac{1}{2}\) pounds at birth. About how many ounces does a baby striped dolphin weigh?

Are you converting from a smaller unit to a larger unit or from a larger unit to a smaller unit?

Answer:

22\(\frac{1}{2}\) pounds = 360 ounces.

Explanation:

A striped dolphin weighs about 22\(\frac{1}{2}\) pounds at birth.

multiply the mass value by 16

22\(\frac{1}{2}\) x 16

\(\frac{45}{2}\) x 16 = 360 ounces

from a smaller unit to a larger unit

as we are multiplying rather than dividing

How will you convert a number of pounds to a number of ounces?

Answer:

1 pound = 16 ounces.

Explanation:

as, 1 pound = 16 ounces.

multiply the mass value by 16

to convert a number of pounds to a number of ounces

About how many ounces does a baby striped dolphin weigh?

Answer:

360 ounces

Explanation:

A striped dolphin weighs about 22\(\frac{1}{2}\) pounds at birth.

multiply the mass value by 16

22\(\frac{1}{2}\) x 16

\(\frac{45}{2}\) x 16 = 360 ounces

from a smaller unit to a larger unit

as we are multiplying rather than dividing

Question 12.

**Reason** When you convert a measurement of 35 to an equivalent measure of 0.35, are you converting from a smaller unit to a larger unit or from a larger unit to a smaller unit? Explain.

Answer:

Larger to a smaller.

Explanation:

We are converting a larger unit to smaller unit

because when we divide 35 by 100 the quotient is 0.35

Question 13.

**Reason** When converting a decimal measure from a smaller metric unit to a larger metric unit, will the new measure also be a decimal? Explain.

Answer:

depends upon the number

it depends whether the product is decimal or a number

Explanation:

when we convert metric units by simply moving the decimal point.

To convert to smaller units, move the decimal point to the right.. To convert to larger units, move decimal point to the left.