Decimal Addition Worksheets 5th Grade - Free Printable

You're working on “Adding Decimals – Tenths Sheet 1”, which uses “number machines” to practice adding decimals (specifically tenths). Each machine adds a fixed decimal number to the input, and you must calculate the output.

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💡 Key Concept:

> 10 tenths = 1 whole — This means if adding causes the tenths place to go over 9, you carry over 1 to the ones place.

For example:
`2.4 + 0.9 = 3.3` → because 4 tenths + 9 tenths = 13 tenths = 1 whole + 3 tenths → so 2 + 1 = 3, and 3 tenths → 3.3

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Let’s solve each machine one by one.

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## ✔ 1) Machine: + 0.3

Add 0.3 to each input:

- 0.2 → 0.5 ✔ (given)
- 0.6 → 0.9 ✔ (given)
- 1.1 → 1.4 (1.1 + 0.3)
- 2.4 → 2.7
- 3.7 → 4.0 (3.7 + 0.3 = 4.0 — note: 7+3=10 tenths → carry 1)
- 6.8 → 7.1 (6.8 + 0.3 = 7.1)
- 7.6 → 7.9

✔ Answers for #1:
1.4, 2.7, 4.0, 7.1, 7.9

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## ✔ 2) Machine: + 0.6

- 0.2 → 0.8 ✔
- 0.6 → 1.2 (0.6 + 0.6 = 1.2)
- 1.1 → 1.7
- 2.4 → 3.0 (2.4 + 0.6 = 3.0)
- 3.7 → 4.3
- 6.8 → 7.4
- 7.6 → 8.2

✔ Answers for #2:
1.2, 1.7, 3.0, 4.3, 7.4, 8.2

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## ✔ 3) Machine: + 0.9

- 0.2 → 1.1 ✔
- 0.6 → 1.5
- 1.1 → 2.0 (1.1 + 0.9 = 2.0)
- 2.4 → 3.3
- 3.7 → 4.6
- 6.8 → 7.7
- 7.6 → 8.5

✔ Answers for #3:
1.5, 2.0, 3.3, 4.6, 7.7, 8.5

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## ✔ 4) Machine: + 1.1

This adds 1 whole and 1 tenth.

- 0.2 → 1.3
- 0.6 → 1.7
- 1.1 → 2.2
- 2.4 → 3.5
- 3.7 → 4.8
- 6.8 → 7.9
- 7.6 → 8.7

✔ Answers for #4:
1.3, 1.7, 2.2, 3.5, 4.8, 7.9, 8.7

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## ✔ 5) Machine: + 2.5

Add 2 wholes and 5 tenths.

- 0.2 → 2.7
- 0.6 → 3.1
- 1.1 → 3.6
- 2.4 → 4.9
- 3.7 → 6.2 (3.7 + 2.5 = 6.2)
- 6.8 → 9.3
- 7.6 → 10.1

✔ Answers for #5:
2.7, 3.1, 3.6, 4.9, 6.2, 9.3, 10.1

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## ✔ 6) Machine: + 3.2

- 0.2 → 3.4
- 0.6 → 3.8
- 1.1 → 4.3
- 2.4 → 5.6
- 3.7 → 6.9
- 6.8 → 10.0 (6.8 + 3.2 = 10.0)
- 7.6 → 10.8

✔ Answers for #6:
3.4, 3.8, 4.3, 5.6, 6.9, 10.0, 10.8

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## ✔ 7) Machine: + 2.8

- 0.2 → 3.0
- 0.6 → 3.4
- 1.1 → 3.9
- 2.4 → 5.2
- 3.7 → 6.5
- 6.8 → 9.6
- 7.6 → 10.4

✔ Answers for #7:
3.0, 3.4, 3.9, 5.2, 6.5, 9.6, 10.4

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## ✔ 8) Machine: + 4.6

- 0.2 → 4.8
- 0.6 → 5.2
- 1.1 → 5.7
- 2.4 → 7.0
- 3.7 → 8.3
- 6.8 → 11.4
- 7.6 → 12.2

✔ Answers for #8:
4.8, 5.2, 5.7, 7.0, 8.3, 11.4, 12.2

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## ✔ 9) Machine: + 7.1

- 0.2 → 7.3
- 0.6 → 7.7
- 1.1 → 8.2
- 2.4 → 9.5
- 3.7 → 10.8
- 6.8 → 13.9
- 7.6 → 14.7

✔ Answers for #9:
7.3, 7.7, 8.2, 9.5, 10.8, 13.9, 14.7

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## 📝 Final Answer Summary (Fill in the blanks):

1) +0.3 → 1.4, 2.7, 4.0, 7.1, 7.9

2) +0.6 → 1.2, 1.7, 3.0, 4.3, 7.4, 8.2

3) +0.9 → 1.5, 2.0, 3.3, 4.6, 7.7, 8.5

4) +1.1 → 1.3, 1.7, 2.2, 3.5, 4.8, 7.9, 8.7

5) +2.5 → 2.7, 3.1, 3.6, 4.9, 6.2, 9.3, 10.1

6) +3.2 → 3.4, 3.8, 4.3, 5.6, 6.9, 10.0, 10.8

7) +2.8 → 3.0, 3.4, 3.9, 5.2, 6.5, 9.6, 10.4

8) +4.6 → 4.8, 5.2, 5.7, 7.0, 8.3, 11.4, 12.2

9) +7.1 → 7.3, 7.7, 8.2, 9.5, 10.8, 13.9, 14.7

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✔ You’ve now completed the worksheet! Great job practicing decimal addition with tenths. Remember to line up decimal points and carry over when needed — just like whole numbers, but with tenths!

Let me know if you’d like this as a printable answer key or want to check your own answers against this! 😊