Let’s solve each problem step by step. We’ll do addition, subtraction, and multiplication carefully — lining up decimals and checking our work.
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Find the sum.
1. 6.048 + 8.854
Line up decimals:
6.048
+ 8.854
--------
14.902
2. 35.38 + 59.94
35.38
+ 59.94
--------
95.32
3. 81.88 + 81.66
81.88
+ 81.66
--------
163.54
4. 31.01 + 46.60
31.01
+ 46.60
--------
77.61
5. 32.91 + 34.08
32.91
+ 34.08
--------
66.99
6. 14.40 + 82.25
14.40
+ 82.25
--------
96.65
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Find the difference.
1. 0.865 - 0.494
0.865
- 0.494
--------
0.371
2. 7.55 - 5.70
7.55
- 5.70
--------
1.85
3. 0.975 - 0.742
0.975
- 0.742
--------
0.233
4. 8.41 - 0.20
8.41
- 0.20
--------
8.21
5. 0.899 - 0.110
0.899
- 0.110
--------
0.789
6. 0.856 - 0.585
0.856
- 0.585
--------
0.271
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Find the product.
Remember: Multiply as if they’re whole numbers, then count decimal places in both numbers and put that many digits after the decimal in your answer.
1. 76.2 × 0.41
First, ignore decimals: 762 × 41 = ?
762 × 40 = 30,480
762 × 1 = 762
Total = 30,480 + 762 = 31,242
Now, 76.2 has 1 decimal place, 0.41 has 2 → total 3 decimal places
So, 31.242
2. 4.29 × 7.3
Ignore decimals: 429 × 73
429 × 70 = 30,030
429 × 3 = 1,287
Total = 30,030 + 1,287 = 31,317
Decimals: 4.29 (2) + 7.3 (1) = 3 → 31.317
3. 34.4 × 0.02
Ignore decimals: 344 × 2 = 688
Decimals: 34.4 (1) + 0.02 (2) = 3 → 0.688
4. 4.56 × 5.6
Ignore decimals: 456 × 56
456 × 50 = 22,800
456 × 6 = 2,736
Total = 22,800 + 2,736 = 25,536
Decimals: 4.56 (2) + 5.6 (1) = 3 → 25.536
5. 6.86 × 6.9
Ignore decimals: 686 × 69
686 × 70 = 48,020 → minus 686 = 48,020 - 686 = 47,334
Or: 686 × 60 = 41,160; 686 × 9 = 6,174 → total 47,334
Decimals: 6.86 (2) + 6.9 (1) = 3 → 47.334
6. 94.2 × 0.53
Ignore decimals: 942 × 53
942 × 50 = 47,100
942 × 3 = 2,826
Total = 47,100 + 2,826 = 49,926
Decimals: 94.2 (1) + 0.53 (2) = 3 → 49.926
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Final Answer:
Sums:
1. 14.902
2. 95.32
3. 163.54
4. 77.61
5. 66.99
6. 96.65
Differences:
1. 0.371
2. 1.85
3. 0.233
4. 8.21
5. 0.789
6. 0.271
Products:
1. 31.242
2. 31.317
3. 0.688
4. 25.536
5. 47.334
6. 49.926
Parent Tip: Review the logic above to help your child master the concept of mixed operations with decimals worksheet.
