5th Grade Adding and Subtracting Decimals Worksheet Solutions (PDF)

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This add subtract decimals answers for 5th Grade covers adding and subtracting decimals (Common Core 5.NBT.B.7), with a free PDF to print.

This answer key shows each step for the 20 decimal addition and subtraction problems. Check that the decimal points are lined up and that placeholder zeros are in the right place. Each key also checks the answer with the opposite operation.

Grade 5 · Common Core State Standards: 5.NBT.B.7

Add subtract decimals answers: exercises 1 to 10

Exercise 1 – Add tenths

6 tenths plus 7 tenths is 13 tenths.

13 tenths is 1 and 3 tenths.

Answer: 1.3

Exercise 2 – Hundredths grid

Blue: 0.45. Orange: 0.38.

\(0.45+0.38\): 45 + 38 = 83 hundredths.

Answer: 0.83

0.45 + 0.38 = 0.83
Total shaded: 83 squares.

Exercise 3 – Line up the points

Write 3.5 as 3.50 and line up the decimal points.

\(3.50+2.25\): hundredths 0 + 5 = 5, tenths 5 + 2 = 7, ones 3 + 2 = 5.

Answer: 5.75

Exercise 4 – Add with regrouping

Hundredths: 8 + 5 = 13, write 3, regroup 1.

Tenths: 7 + 4 + 1 = 12, write 2, regroup 1.

Ones: 4 + 6 + 1 = 11, write 1, regroup 1. Tens: 1 + 1 = 2.

Answer: 21.23

Exercise 5 – Whole number plus decimal

Write 8 as 8.00. Add: \(8.00+3.64=11.64\).

Answer: 11.64

Exercise 6 – Three addends

Write with two decimal places: 2.50, 4.75, 10.20.

\(2.50+4.75=7.25\). \(7.25+10.20=17.45\).

Answer: 17.45

Exercise 7 – Subtract tenths

12 tenths minus 7 tenths is 5 tenths.

Answer: 0.5

Exercise 8 – Subtract hundredths

83 hundredths minus 45 hundredths is 38 hundredths.

Check: \(0.38+0.45=0.83\).

Answer: 0.38

Exercise 9 – Subtract from a whole number

Write 7 as 7.00. Regroup: \(7.00-2.38=4.62\).

Check: \(4.62+2.38=7.00\).

Answer: 4.62

Exercise 10 – Regroup across zeros

Write 20.5 as 20.50. Subtract: hundredths 10 − 8 = 2 (after regrouping), tenths 4 − 3 = 1, ones 9 − 7 = 2, tens 1.

Check: \(13.12+7.38=20.50\).

Answer: 13.12

20.507.38−13.12
The difference is 13.12.

Exercises 11 and up

Exercise 11 – Larger difference

Regroup: 6 − 9 needs regrouping. \(45.06-18=27.06\), then \(27.06-0.79=26.27\).

Check: \(26.27+18.79=45.06\).

Answer: 26.27

Exercise 12 – Estimate a sum

Estimate: 18.7 rounds to 19 and 5.34 rounds to 5. \(19+5=24\).

Exact: \(18.70+5.34=24.04\).

Answer: estimate 24, exact 24.04

Exercise 13 – Estimate a difference

Estimate: 32.48 rounds to 32 and 9.9 rounds to 10. \(32-10=22\).

Exact: \(32.48-9.90=22.58\).

Answer: estimate 22, exact 22.58

Exercise 14 – Missing addend

Subtract: \(9.25-5.60=3.65\).

Check: \(5.60+3.65=9.25\).

Answer: 3.65

Exercise 15 – School store receipt

\(3.49+1.75=5.24\). \(5.24+2.30=7.54\).

Maya spends \(\$7.54\).

SCHOOL STORENotebook$3.49Folder$1.75Markers$2.30Total$7.54
Total: $7.54.

Exercise 16 – Making change

\(20.00-13.68=6.32\).

Check: \(6.32+13.68=20.00\).

Jamal gets \(\$6.32\) in change.

Exercise 17 – Jogging miles

Write 3.4 as 3.40. \(2.75+3.40=6.15\). \(6.15+1.95=8.10\).

Aisha jogs 8.1 miles in all.

Exercise 18 – Growing plant

Grows: \(14.20+3.75=17.95\).

Trimmed: \(17.95-2.50=15.45\).

The plant is 15.45 inches tall.

Exercise 19 – Swim times

\(38.47-36.90=1.57\).

Check: \(36.90+1.57=38.47\).

Priya is faster by 1.57 seconds.

Exercise 20 – Farmers market budget

Total spent: \(8.75+6.40=15.15\), \(15.15+12.95=28.10\).

Left: \(50.00-28.10=21.90\).

Diego has \(\$21.90\) left.

Key facts behind this add subtract decimals answers

Key facts
  • Line up the decimal points so tenths are over tenths and hundredths are over hundredths.
  • Write placeholder zeros so both numbers have the same number of decimal places.
  • Regroup in decimals the same way you regroup whole numbers.
  • Estimate by rounding to the nearest whole number to check the answer.
  • Use the opposite operation to check: add the difference back to the subtracted number.

How to use this add subtract decimals answers

Cover each solution, solve the exercise again, then uncover it and compare every line. If your answer differs, find the first step that changed and redo the exercise from there.

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