## Envision Math 5th Grade Textbook Answer Key Topic 2.6 Subtracting Decimals

**Subtracting Decimals**

How can you subtract decimals?

What is the difference in the wingspans of the two butterflies?

Choose an Operation

Subtract to find the difference.

Find 5.92 – 4.37.

Estimate: 6 – 4 = 2

**Other Examples**

Using 0 as a placeholder

Find 49.59 – 7.9

Using 0 as a placeholder

Find 24.6 – 8.27.

Subtracting Money

Find $26.32 – $5.75.

**Guided Practice***

In 1 through 8, subtract the decimals.

Do you know how?

Question 1.

Answer:

Question 2.

Answer:

Question 3.

Answer:

Question 4.

Answer:

Question 5.

56.8 – 2.765

Answer:

Question 6.

$43.80 – $16.00

Answer:

Question 7.

22.4 – 10.7 8.

Answer:

Question 8.

$36.40 – $21.16

Answer:

Do you understand?

Question 9.

Reasonableness Explain why 1.55 cm is a reasonable answer for the difference in the wingspans of the two butterflies.

Answer:

Question 10.

In the Other Examples above, is the value of 7.9 changed when you annex a zero after 7.9? Why or why not?

Answer:

Question 11.

Writing to Explain How is finding 9.12 – 4.8 similar to finding $9.12 – $4.80? How is it different?

Step 1

Write the numbers, lining up the decimal points.

Step 2

Subtract the hundredths. Regroup if needed.

Step 3

Subtract the tenths and ones.

Bring down the decimal point.

The difference is reasonable

since the estimate was 2.

The difference in the wingspans is 1.55 cm.

Independent Practice

In 12 through 23, subtract to find the difference.

Question 12.

Answer:

Question 13.

Answer:

Question 14.

Answer:

Question 15.

Answer:

Question 16.

15.03 – 4.121

Answer:

Question 17.

13.9 – 3.8

Answer:

Question 18.

65.18 – 12.005

Answer:

Question 19.

$52.02 – $0.83

Answer:

Question 20.

7.094 – 3.657

Answer:

Question 21.

34.49 – 12.619

Answer:

Question 22.

85.22 – 43.548

Answer:

Question 23.

$10.05 – $4.50

Answer:

**Problem Solving**

Question 24.

Writing to Explain Why is it necessary to line up decimal points when subtracting decimals?

Answer:

Question 25.

Reasonableness Sue subtracted 2.9 from 20.9 and got 1.8. Explain why this is not reasonable.

Answer:

Question 26.

The pyramid of Khafre measured 143.5 meters high. The pyramid of Menkaure measured 65.5 meters high. What was the difference in the heights of these two pyramids?

A. 68.8 meters

B. 69.3 meters

C. 78 meters

D. 212.3 meters

Question 27.

An average person’s upper leg measures 19.88 in. and the lower leg measure 16.94 in. How much longer is the upper leg than the lower leg?

Answer: