Math worksheet for practicing addition of decimals, featuring 15 problems with numbers up to four decimal places.
Worksheet titled "Adding Decimals" with 15 problems involving addition of decimal numbers up to thousandths place.
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Show Answer Key & Explanations
Step-by-step solution for: Adding Decimals with Thousandths Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Adding Decimals with Thousandths Worksheets
Let’s solve each problem step by step. We’re adding decimals, so we line up the decimal points and add column by column from right to left — just like regular addition, but keeping track of the decimal place.
---
1) 2.261 + 7.548
Align:
```
2.261
+ 7.548
-------
```
Add thousandths: 1 + 8 = 9
Hundredths: 6 + 4 = 10 → write 0, carry 1
Tenths: 2 + 5 + 1 (carry) = 8
Ones: 2 + 7 = 9
→ 9.809
---
2) 9.626 + 5.721
```
9.626
+ 5.721
-------
```
Thousandths: 6 + 1 = 7
Hundredths: 2 + 2 = 4
Tenths: 6 + 7 = 13 → write 3, carry 1
Ones: 9 + 5 + 1 = 15
→ 15.347
---
3) 7.493 + 4.604
```
7.493
+ 4.604
-------
```
Thousandths: 3 + 4 = 7
Hundredths: 9 + 0 = 9
Tenths: 4 + 6 = 10 → write 0, carry 1
Ones: 7 + 4 + 1 = 12
→ 12.097
---
4) 1.352 + 8.871
```
1.352
+ 8.871
-------
```
Thousandths: 2 + 1 = 3
Hundredths: 5 + 7 = 12 → write 2, carry 1
Tenths: 3 + 8 + 1 = 12 → write 2, carry 1
Ones: 1 + 8 + 1 = 10
→ 10.223
---
5) 3.596 + 6.408
```
3.596
+ 6.408
-------
```
Thousandths: 6 + 8 = 14 → write 4, carry 1
Hundredths: 9 + 0 + 1 = 10 → write 0, carry 1
Tenths: 5 + 4 + 1 = 10 → write 0, carry 1
Ones: 3 + 6 + 1 = 10
→ 10.004
---
6) 5.793 + 9.149
```
5.793
+ 9.149
-------
```
Thousandths: 3 + 9 = 12 → write 2, carry 1
Hundredths: 9 + 4 + 1 = 14 → write 4, carry 1
Tenths: 7 + 1 + 1 = 9
Ones: 5 + 9 = 14
→ 14.942
---
7) 4.858 + 2.227
```
4.858
+ 2.227
-------
```
Thousandths: 8 + 7 = 15 → write 5, carry 1
Hundredths: 5 + 2 + 1 = 8
Tenths: 8 + 2 = 10 → write 0, carry 1
Ones: 4 + 2 + 1 = 7
→ 7.085
---
8) 7.456 + 0.723
```
7.456
+ 0.723
-------
```
Thousandths: 6 + 3 = 9
Hundredths: 5 + 2 = 7
Tenths: 4 + 7 = 11 → write 1, carry 1
Ones: 7 + 0 + 1 = 8
→ 8.179
---
9) 6.947 + 1.319
```
6.947
+ 1.319
-------
```
Thousandths: 7 + 9 = 16 → write 6, carry 1
Hundredths: 4 + 1 + 1 = 6
Tenths: 9 + 3 = 12 → write 2, carry 1
Ones: 6 + 1 + 1 = 8
→ 8.266
---
10) 8.113 + 3.668
```
8.113
+ 3.668
-------
```
Thousandths: 3 + 8 = 11 → write 1, carry 1
Hundredths: 1 + 6 + 1 = 8
Tenths: 1 + 6 = 7
Ones: 8 + 3 = 11
→ 11.781
---
11) 5.378 + 7.417
```
5.378
+ 7.417
-------
```
Thousandths: 8 + 7 = 15 → write 5, carry 1
Hundredths: 7 + 1 + 1 = 9
Tenths: 3 + 4 = 7
Ones: 5 + 7 = 12
→ 12.795
---
12) 0.502 + 2.187
```
0.502
+ 2.187
-------
```
Thousandths: 2 + 7 = 9
Hundredths: 0 + 8 = 8
Tenths: 5 + 1 = 6
Ones: 0 + 2 = 2
→ 2.689
---
13) 9.605 + 5.252
```
9.605
+ 5.252
-------
```
Thousandths: 5 + 2 = 7
Hundredths: 0 + 5 = 5
Tenths: 6 + 2 = 8
Ones: 9 + 5 = 14
→ 14.857
---
14) 6.768 + 4.991
```
6.768
+ 4.991
-------
```
Thousandths: 8 + 1 = 9
Hundredths: 6 + 9 = 15 → write 5, carry 1
Tenths: 7 + 9 + 1 = 17 → write 7, carry 1
Ones: 6 + 4 + 1 = 11
→ 11.759
---
15) 3.296 + 1.868
```
3.296
+ 1.868
-------
```
Thousandths: 6 + 8 = 14 → write 4, carry 1
Hundredths: 9 + 6 + 1 = 16 → write 6, carry 1
Tenths: 2 + 8 + 1 = 11 → write 1, carry 1
Ones: 3 + 1 + 1 = 5
→ 5.164
---
Final Answer:
1) 9.809
2) 15.347
3) 12.097
4) 10.223
5) 10.004
6) 14.942
7) 7.085
8) 8.179
9) 8.266
10) 11.781
11) 12.795
12) 2.689
13) 14.857
14) 11.759
15) 5.164
---
1) 2.261 + 7.548
Align:
```
2.261
+ 7.548
-------
```
Add thousandths: 1 + 8 = 9
Hundredths: 6 + 4 = 10 → write 0, carry 1
Tenths: 2 + 5 + 1 (carry) = 8
Ones: 2 + 7 = 9
→ 9.809
---
2) 9.626 + 5.721
```
9.626
+ 5.721
-------
```
Thousandths: 6 + 1 = 7
Hundredths: 2 + 2 = 4
Tenths: 6 + 7 = 13 → write 3, carry 1
Ones: 9 + 5 + 1 = 15
→ 15.347
---
3) 7.493 + 4.604
```
7.493
+ 4.604
-------
```
Thousandths: 3 + 4 = 7
Hundredths: 9 + 0 = 9
Tenths: 4 + 6 = 10 → write 0, carry 1
Ones: 7 + 4 + 1 = 12
→ 12.097
---
4) 1.352 + 8.871
```
1.352
+ 8.871
-------
```
Thousandths: 2 + 1 = 3
Hundredths: 5 + 7 = 12 → write 2, carry 1
Tenths: 3 + 8 + 1 = 12 → write 2, carry 1
Ones: 1 + 8 + 1 = 10
→ 10.223
---
5) 3.596 + 6.408
```
3.596
+ 6.408
-------
```
Thousandths: 6 + 8 = 14 → write 4, carry 1
Hundredths: 9 + 0 + 1 = 10 → write 0, carry 1
Tenths: 5 + 4 + 1 = 10 → write 0, carry 1
Ones: 3 + 6 + 1 = 10
→ 10.004
---
6) 5.793 + 9.149
```
5.793
+ 9.149
-------
```
Thousandths: 3 + 9 = 12 → write 2, carry 1
Hundredths: 9 + 4 + 1 = 14 → write 4, carry 1
Tenths: 7 + 1 + 1 = 9
Ones: 5 + 9 = 14
→ 14.942
---
7) 4.858 + 2.227
```
4.858
+ 2.227
-------
```
Thousandths: 8 + 7 = 15 → write 5, carry 1
Hundredths: 5 + 2 + 1 = 8
Tenths: 8 + 2 = 10 → write 0, carry 1
Ones: 4 + 2 + 1 = 7
→ 7.085
---
8) 7.456 + 0.723
```
7.456
+ 0.723
-------
```
Thousandths: 6 + 3 = 9
Hundredths: 5 + 2 = 7
Tenths: 4 + 7 = 11 → write 1, carry 1
Ones: 7 + 0 + 1 = 8
→ 8.179
---
9) 6.947 + 1.319
```
6.947
+ 1.319
-------
```
Thousandths: 7 + 9 = 16 → write 6, carry 1
Hundredths: 4 + 1 + 1 = 6
Tenths: 9 + 3 = 12 → write 2, carry 1
Ones: 6 + 1 + 1 = 8
→ 8.266
---
10) 8.113 + 3.668
```
8.113
+ 3.668
-------
```
Thousandths: 3 + 8 = 11 → write 1, carry 1
Hundredths: 1 + 6 + 1 = 8
Tenths: 1 + 6 = 7
Ones: 8 + 3 = 11
→ 11.781
---
11) 5.378 + 7.417
```
5.378
+ 7.417
-------
```
Thousandths: 8 + 7 = 15 → write 5, carry 1
Hundredths: 7 + 1 + 1 = 9
Tenths: 3 + 4 = 7
Ones: 5 + 7 = 12
→ 12.795
---
12) 0.502 + 2.187
```
0.502
+ 2.187
-------
```
Thousandths: 2 + 7 = 9
Hundredths: 0 + 8 = 8
Tenths: 5 + 1 = 6
Ones: 0 + 2 = 2
→ 2.689
---
13) 9.605 + 5.252
```
9.605
+ 5.252
-------
```
Thousandths: 5 + 2 = 7
Hundredths: 0 + 5 = 5
Tenths: 6 + 2 = 8
Ones: 9 + 5 = 14
→ 14.857
---
14) 6.768 + 4.991
```
6.768
+ 4.991
-------
```
Thousandths: 8 + 1 = 9
Hundredths: 6 + 9 = 15 → write 5, carry 1
Tenths: 7 + 9 + 1 = 17 → write 7, carry 1
Ones: 6 + 4 + 1 = 11
→ 11.759
---
15) 3.296 + 1.868
```
3.296
+ 1.868
-------
```
Thousandths: 6 + 8 = 14 → write 4, carry 1
Hundredths: 9 + 6 + 1 = 16 → write 6, carry 1
Tenths: 2 + 8 + 1 = 11 → write 1, carry 1
Ones: 3 + 1 + 1 = 5
→ 5.164
---
Final Answer:
1) 9.809
2) 15.347
3) 12.097
4) 10.223
5) 10.004
6) 14.942
7) 7.085
8) 8.179
9) 8.266
10) 11.781
11) 12.795
12) 2.689
13) 14.857
14) 11.759
15) 5.164
Parent Tip: Review the logic above to help your child master the concept of adding tenths and hundredths worksheet.