We included **HMH Into Math Grade 5 Answer Key PDF** **Module 13 Lesson 3 Round Decimals **to make students experts in learning maths.

## HMH Into Math Grade 5 Module 13 Lesson 3 Answer Key Round Decimals

I Can use an understanding of place value to round decimals to a given place.

**Spark Your Learning**

In car racing, times are measured to the nearest thousandth second. The time it takes ten cars to make one lap around a short track is shown.

Sort the cars into the boxes using the time for each car to the nearest second.

Answer:

Explanation:

Times are measured to the nearest thousandth second are sorted according to the seconds.

And written in the boxes of given seconds.

**Turn and Talk** How would a time of 15.045 seconds appear on a stopwatch that rounds to the nearest hundredth second? Explain.

Answer:

15:00

Explanation:

15.045 seconds appears on the analog clock shows as 15:00

so, the seconds hand shows on number 3

**Build Understanding**

Question 1.

In a long track car race, a driver’s lap time was 28.266 seconds.

Label the tick marks. Show where the driver’s time can be represented on the number line.

A. How could you divide the space between each pair of tick marks to show thousandths?

Answer:

By hundredths

B. How can you determine to which hundredth second the driver’s time is closer? Round 28.266 seconds to the nearest hundredth second.

Answer:

28.27

28.266 seconds to the nearest hundredth is 28.27.

Connect to Vocabulary

To round is to replace a number with one that is simpler and is approximately the same size as the original number.

C. How can you determine to which tenth second the driver’s time is closer? Round 28.266 seconds to the nearest tenth second.

Answer:

**Turn and Talk** What are some possible driver’s times that are closer to 28.26 than to 28.27?

Answer:

**Step It Out**

Question 2.

Speeds also are measured to the nearest thousandth. The fastest speed in a race was 96.479 miles per hour (mph). Write the speed in the place-value chart.

Answer:

A. To round this speed to the nearest hundredth, circle the digit in the hundredths place in the chart.

Answer:

B. Underline the digit to the right of the place to which you are rounding. How does this digit compare to 5?

Answer:

C. If the digit to the right is less than 5, the digit in the place to which you are rounding stays the same. If the digit to the right is 5 or greater, the digit in the rounding place increases by 1. Round the speed to the nearest hundredth.

Answer:

D. Round the speed to the nearest tenth and to the nearest whole number.

Answer:

**Turn and Talk** How would your rounded numbers change if the speed was 96.515 mph?

Answer: 96 mph

**Check Understanding**

Question 1.

A professional race car driver’s speed ¡n a race was 212.809 mph. What is this speed rounded to the nearest hundredth, nearest tenth, and nearest whole number?

Answer:

213mph

Explanation:

rounded to the nearest hundredth, nearest tenth,

and nearest whole number of 212.809 mph is 213

**On Your Own**

Question 2.

**Reason** The decimal 671.54 rounds to 671.54. What are the possible values for ?

Answer: 0,1,2,3,4,5

Explanation:

The decimal 671.54 rounds to 671.54.

The numbers might be 671.541 or 671.542 like on up to 671.545

Question 3.

**Reason** What range of numbers, to thousandths, round to 146?

Answer:

0.146

Explanation:

The rounding of numbers to the nearest thousandth means

rounding of any decimal numbers to its nearest thousandth value.

In the decimal system, thousandth means (1/1000) or 0.001.

**Round 5.935 to the place named.**

Question 4.

tenths

Answer:

5.93

Explanation:

the first digit to the right of the decimal point indicates the number of tenths

Question 5.

hundredths

Answer:

5.9

Explanation:

The next digit after the decimal represents the hundredths place.

Question 6.

ones

Answer:

5.930

Explanation:

The value of every digit in a number depending on its position.

These positions start from the units place (ones place).

**Name the place value to which the number was rounded.**

Question 7.

0.783 to 0.78

Answer: thousandths place

Explanation:

0.78 is equals to 0.780

So thousandths place rounded

Question 8.

4.559 to 4.6

Answer: tenths place

Explanation:

4.6 =4.600

So the tenths place rounded

Question 9.

3.249 to 3.25

Answer: hundredths Place

Explanation:

3.25 =3.250

So the hundredths place rounded

Question 10.

**Attend to Precision** The gas tank of a race car holds up to 68.137 liters of gas. What is 68.137 liters rounded to the nearest hundredth, nearest tenth, and nearest whole liter?

Answer: 68 liters

Explanation:

68.137 liters rounded to the nearest hundredth, nearest tenth, and nearest whole liter is 68 liters

Question 11.

**Use Structure** A professional race car driver’s speed was 342.483 kilometers each hour. When rounding this speed, in which place value would the digit in the rounding place increase by 1? Explain.

Answer:

ones place it will be change

342 to 343

Explanation:

professional race car driver’s speed was 342.483 kilometers each hour.

ones place it will be change

342 to 343

**I’m in a Learning Mindset!**

Did I try a new strategy to round numbers? What was it?

Answer:

if the last digit is less than 5, round the previous digit down.

if the last digit is greater than 5, round the next digit