Decimals Worksheets | Dynamically Created Decimal Worksheets - Free Printable
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Show Answer Key & Explanations
Step-by-step solution for: Decimals Worksheets | Dynamically Created Decimal Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Decimals Worksheets | Dynamically Created Decimal Worksheets
Let’s solve each multiplication problem step by step. We’ll multiply the two numbers in each pair carefully, making sure to line up decimals correctly and check our work.
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First Row:
1. 22.59 × 40.19
→ 22.59 × 40 = 903.6
→ 22.59 × 0.19 = let’s compute:
22.59 × 0.2 = 4.518, minus 22.59 × 0.01 = 0.2259 → 4.518 - 0.2259 = 4.2921
→ Total: 903.6 + 4.2921 = 907.8921
Wait — better to do it properly:
Actually, let’s use standard multiplication:
22.59 × 40.19
= (2259/100) × (4019/100) = (2259 × 4019) / 10000
But that’s messy. Let’s just multiply directly:
22.59
×40.19
--------
First, ignore decimals: 2259 × 4019
But maybe easier with calculator-style steps:
22.59 × 40 = 903.6
22.59 × 0.19 = ?
Break 0.19 into 0.1 + 0.09
22.59 × 0.1 = 2.259
22.59 × 0.09 = 2.0331
Sum: 2.259 + 2.0331 = 4.2921
Total: 903.6 + 4.2921 = 907.8921
✔ So first answer: 907.8921
---
2. 14.49 × 17.45
14.49 × 17 = 14.49 × 10 = 144.9; 14.49 × 7 = 101.43 → total 144.9 + 101.43 = 246.33
14.49 × 0.45 = ?
14.49 × 0.4 = 5.796
14.49 × 0.05 = 0.7245
Sum: 5.796 + 0.7245 = 6.5205
Total: 246.33 + 6.5205 = 252.8505
✔ Second answer: 252.8505
---
3. 57.48 × 50.37
57.48 × 50 = 2874
57.48 × 0.37 = ?
57.48 × 0.3 = 17.244
57.48 × 0.07 = 4.0236
Sum: 17.244 + 4.0236 = 21.2676
Total: 2874 + 21.2676 = 2895.2676
✔ Third answer: 2895.2676
---
4. 24.15 × 63.35
24.15 × 60 = 1449
24.15 × 3.35 = ?
24.15 × 3 = 72.45
24.15 × 0.35 = ?
24.15 × 0.3 = 7.245
24.15 × 0.05 = 1.2075
Sum: 7.245 + 1.2075 = 8.4525
So 72.45 + 8.4525 = 80.9025
Total: 1449 + 80.9025 = 1529.9025
✔ Fourth answer: 1529.9025
---
5. 11.73 × 81.85
11.73 × 80 = 938.4
11.73 × 1.85 = ?
11.73 × 1 = 11.73
11.73 × 0.8 = 9.384
11.73 × 0.05 = 0.5865
Sum: 11.73 + 9.384 = 21.114 + 0.5865 = 21.7005
Total: 938.4 + 21.7005 = 960.1005
✔ Fifth answer: 960.1005
---
6. 44.38 × 94.93
44.38 × 90 = 3994.2
44.38 × 4.93 = ?
44.38 × 4 = 177.52
44.38 × 0.9 = 39.942
44.38 × 0.03 = 1.3314
Sum: 177.52 + 39.942 = 217.462 + 1.3314 = 218.7934
Total: 3994.2 + 218.7934 = 4212.9934
✔ Sixth answer: 4212.9934
---
Second Row:
7. 97.16 × 17.91
97.16 × 17 = 97.16 × 10 = 971.6; 97.16 × 7 = 680.12 → total 971.6 + 680.12 = 1651.72
97.16 × 0.91 = ?
97.16 × 0.9 = 87.444
97.16 × 0.01 = 0.9716
Sum: 87.444 + 0.9716 = 88.4156
Total: 1651.72 + 88.4156 = 1740.1356
✔ Seventh answer: 1740.1356
---
8. 33.16 × 82.78
33.16 × 80 = 2652.8
33.16 × 2.78 = ?
33.16 × 2 = 66.32
33.16 × 0.7 = 23.212
33.16 × 0.08 = 2.6528
Sum: 66.32 + 23.212 = 89.532 + 2.6528 = 92.1848
Total: 2652.8 + 92.1848 = 2744.9848
✔ Eighth answer: 2744.9848
---
9. 78.53 × 74.75
78.53 × 70 = 5497.1
78.53 × 4.75 = ?
78.53 × 4 = 314.12
78.53 × 0.7 = 54.971
78.53 × 0.05 = 3.9265
Sum: 314.12 + 54.971 = 369.091 + 3.9265 = 373.0175
Total: 5497.1 + 373.0175 = 5870.1175
✔ Ninth answer: 5870.1175
---
10. 95.58 × 91.14
95.58 × 90 = 8602.2
95.58 × 1.14 = ?
95.58 × 1 = 95.58
95.58 × 0.1 = 9.558
95.58 × 0.04 = 3.8232
Sum: 95.58 + 9.558 = 105.138 + 3.8232 = 108.9612
Total: 8602.2 + 108.9612 = 8711.1612
✔ Tenth answer: 8711.1612
---
11. 47.33 × 94.28
47.33 × 90 = 4259.7
47.33 × 4.28 = ?
47.33 × 4 = 189.32
47.33 × 0.2 = 9.466
47.33 × 0.08 = 3.7864
Sum: 189.32 + 9.466 = 198.786 + 3.7864 = 202.5724
Total: 4259.7 + 202.5724 = 4462.2724
✔ Eleventh answer: 4462.2724
---
12. 50.74 × 66.77
50.74 × 60 = 3044.4
50.74 × 6.77 = ?
50.74 × 6 = 304.44
50.74 × 0.7 = 35.518
50.74 × 0.07 = 3.5518
Sum: 304.44 + 35.518 = 339.958 + 3.5518 = 343.5098
Total: 3044.4 + 343.5098 = 3387.9098
✔ Twelfth answer: 3387.9098
---
Third Row:
13. 88.49 × 31.45
88.49 × 30 = 2654.7
88.49 × 1.45 = ?
88.49 × 1 = 88.49
88.49 × 0.4 = 35.396
88.49 × 0.05 = 4.4245
Sum: 88.49 + 35.396 = 123.886 + 4.4245 = 128.3105
Total: 2654.7 + 128.3105 = 2783.0105
✔ Thirteenth answer: 2783.0105
---
14. 78.99 × 17.28
78.99 × 17 = 78.99 × 10 = 789.9; 78.99 × 7 = 552.93 → total 789.9 + 552.93 = 1342.83
78.99 × 0.28 = ?
78.99 × 0.2 = 15.798
78.99 × 0.08 = 6.3192
Sum: 15.798 + 6.3192 = 22.1172
Total: 1342.83 + 22.1172 = 1364.9472
✔ Fourteenth answer: 1364.9472
---
15. 14.13 × 80.45
14.13 × 80 = 1130.4
14.13 × 0.45 = ?
14.13 × 0.4 = 5.652
14.13 × 0.05 = 0.7065
Sum: 5.652 + 0.7065 = 6.3585
Total: 1130.4 + 6.3585 = 1136.7585
✔ Fifteenth answer: 1136.7585
---
16. 72.94 × 95.93
72.94 × 90 = 6564.6
72.94 × 5.93 = ?
72.94 × 5 = 364.7
72.94 × 0.9 = 65.646
72.94 × 0.03 = 2.1882
Sum: 364.7 + 65.646 = 430.346 + 2.1882 = 432.5342
Total: 6564.6 + 432.5342 = 6997.1342
✔ Sixteenth answer: 6997.1342
---
17. 67.29 × 68.76
67.29 × 60 = 4037.4
67.29 × 8.76 = ?
67.29 × 8 = 538.32
67.29 × 0.7 = 47.103
67.29 × 0.06 = 4.0374
Sum: 538.32 + 47.103 = 585.423 + 4.0374 = 589.4604
Total: 4037.4 + 589.4604 = 4626.8604
✔ Seventeenth answer: 4626.8604
---
18. 24.58 × 88.15
24.58 × 80 = 1966.4
24.58 × 8.15 = ?
24.58 × 8 = 196.64
24.58 × 0.1 = 2.458
24.58 × 0.05 = 1.229
Sum: 196.64 + 2.458 = 199.098 + 1.229 = 200.327
Total: 1966.4 + 200.327 = 2166.727
✔ Eighteenth answer: 2166.727
---
Fourth Row:
19. 74.53 × 48.17
74.53 × 40 = 2981.2
74.53 × 8.17 = ?
74.53 × 8 = 596.24
74.53 × 0.1 = 7.453
74.53 × 0.07 = 5.2171
Sum: 596.24 + 7.453 = 603.693 + 5.2171 = 608.9101
Total: 2981.2 + 608.9101 = 3590.1101
✔ Nineteenth answer: 3590.1101
---
20. 76.68 × 43.65
76.68 × 40 = 3067.2
76.68 × 3.65 = ?
76.68 × 3 = 230.04
76.68 × 0.6 = 46.008
76.68 × 0.05 = 3.834
Sum: 230.04 + 46.008 = 276.048 + 3.834 = 279.882
Total: 3067.2 + 279.882 = 3347.082
✔ Twentieth answer: 3347.082
---
21. 22.33 × 16.99
22.33 × 16 = 22.33 × 10 = 223.3; 22.33 × 6 = 133.98 → total 223.3 + 133.98 = 357.28
22.33 × 0.99 = ?
22.33 × 1 = 22.33 minus 22.33 × 0.01 = 0.2233 → 22.33 - 0.2233 = 22.1067
Total: 357.28 + 22.1067 = 379.3867
✔ Twenty-first answer: 379.3867
---
22. 27.75 × 85.59
27.75 × 80 = 2220
27.75 × 5.59 = ?
27.75 × 5 = 138.75
27.75 × 0.5 = 13.875
27.75 × 0.09 = 2.4975
Sum: 138.75 + 13.875 = 152.625 + 2.4975 = 155.1225
Total: 2220 + 155.1225 = 2375.1225
✔ Twenty-second answer: 2375.1225
---
23. 65.41 × 70.64
65.41 × 70 = 4578.7
65.41 × 0.64 = ?
65.41 × 0.6 = 39.246
65.41 × 0.04 = 2.6164
Sum: 39.246 + 2.6164 = 41.8624
Total: 4578.7 + 41.8624 = 4620.5624
✔ Twenty-third answer: 4620.5624
---
24. 87.53 × 77.91
87.53 × 70 = 6127.1
87.53 × 7.91 = ?
87.53 × 7 = 612.71
87.53 × 0.9 = 78.777
87.53 × 0.01 = 0.8753
Sum: 612.71 + 78.777 = 691.487 + 0.8753 = 692.3623
Total: 6127.1 + 692.3623 = 6819.4623
✔ Twenty-fourth answer: 6819.4623
---
Now, compiling all answers in order as they appear on the worksheet:
Final Answer:
907.8921
252.8505
2895.2676
1529.9025
960.1005
4212.9934
1740.1356
2744.9848
5870.1175
8711.1612
4462.2724
3387.9098
2783.0105
1364.9472
1136.7585
6997.1342
4626.8604
2166.727
3590.1101
3347.082
379.3867
2375.1225
4620.5624
6819.4623
---
First Row:
1. 22.59 × 40.19
→ 22.59 × 40 = 903.6
→ 22.59 × 0.19 = let’s compute:
22.59 × 0.2 = 4.518, minus 22.59 × 0.01 = 0.2259 → 4.518 - 0.2259 = 4.2921
→ Total: 903.6 + 4.2921 = 907.8921
Wait — better to do it properly:
Actually, let’s use standard multiplication:
22.59 × 40.19
= (2259/100) × (4019/100) = (2259 × 4019) / 10000
But that’s messy. Let’s just multiply directly:
22.59
×40.19
--------
First, ignore decimals: 2259 × 4019
But maybe easier with calculator-style steps:
22.59 × 40 = 903.6
22.59 × 0.19 = ?
Break 0.19 into 0.1 + 0.09
22.59 × 0.1 = 2.259
22.59 × 0.09 = 2.0331
Sum: 2.259 + 2.0331 = 4.2921
Total: 903.6 + 4.2921 = 907.8921
✔ So first answer: 907.8921
---
2. 14.49 × 17.45
14.49 × 17 = 14.49 × 10 = 144.9; 14.49 × 7 = 101.43 → total 144.9 + 101.43 = 246.33
14.49 × 0.45 = ?
14.49 × 0.4 = 5.796
14.49 × 0.05 = 0.7245
Sum: 5.796 + 0.7245 = 6.5205
Total: 246.33 + 6.5205 = 252.8505
✔ Second answer: 252.8505
---
3. 57.48 × 50.37
57.48 × 50 = 2874
57.48 × 0.37 = ?
57.48 × 0.3 = 17.244
57.48 × 0.07 = 4.0236
Sum: 17.244 + 4.0236 = 21.2676
Total: 2874 + 21.2676 = 2895.2676
✔ Third answer: 2895.2676
---
4. 24.15 × 63.35
24.15 × 60 = 1449
24.15 × 3.35 = ?
24.15 × 3 = 72.45
24.15 × 0.35 = ?
24.15 × 0.3 = 7.245
24.15 × 0.05 = 1.2075
Sum: 7.245 + 1.2075 = 8.4525
So 72.45 + 8.4525 = 80.9025
Total: 1449 + 80.9025 = 1529.9025
✔ Fourth answer: 1529.9025
---
5. 11.73 × 81.85
11.73 × 80 = 938.4
11.73 × 1.85 = ?
11.73 × 1 = 11.73
11.73 × 0.8 = 9.384
11.73 × 0.05 = 0.5865
Sum: 11.73 + 9.384 = 21.114 + 0.5865 = 21.7005
Total: 938.4 + 21.7005 = 960.1005
✔ Fifth answer: 960.1005
---
6. 44.38 × 94.93
44.38 × 90 = 3994.2
44.38 × 4.93 = ?
44.38 × 4 = 177.52
44.38 × 0.9 = 39.942
44.38 × 0.03 = 1.3314
Sum: 177.52 + 39.942 = 217.462 + 1.3314 = 218.7934
Total: 3994.2 + 218.7934 = 4212.9934
✔ Sixth answer: 4212.9934
---
Second Row:
7. 97.16 × 17.91
97.16 × 17 = 97.16 × 10 = 971.6; 97.16 × 7 = 680.12 → total 971.6 + 680.12 = 1651.72
97.16 × 0.91 = ?
97.16 × 0.9 = 87.444
97.16 × 0.01 = 0.9716
Sum: 87.444 + 0.9716 = 88.4156
Total: 1651.72 + 88.4156 = 1740.1356
✔ Seventh answer: 1740.1356
---
8. 33.16 × 82.78
33.16 × 80 = 2652.8
33.16 × 2.78 = ?
33.16 × 2 = 66.32
33.16 × 0.7 = 23.212
33.16 × 0.08 = 2.6528
Sum: 66.32 + 23.212 = 89.532 + 2.6528 = 92.1848
Total: 2652.8 + 92.1848 = 2744.9848
✔ Eighth answer: 2744.9848
---
9. 78.53 × 74.75
78.53 × 70 = 5497.1
78.53 × 4.75 = ?
78.53 × 4 = 314.12
78.53 × 0.7 = 54.971
78.53 × 0.05 = 3.9265
Sum: 314.12 + 54.971 = 369.091 + 3.9265 = 373.0175
Total: 5497.1 + 373.0175 = 5870.1175
✔ Ninth answer: 5870.1175
---
10. 95.58 × 91.14
95.58 × 90 = 8602.2
95.58 × 1.14 = ?
95.58 × 1 = 95.58
95.58 × 0.1 = 9.558
95.58 × 0.04 = 3.8232
Sum: 95.58 + 9.558 = 105.138 + 3.8232 = 108.9612
Total: 8602.2 + 108.9612 = 8711.1612
✔ Tenth answer: 8711.1612
---
11. 47.33 × 94.28
47.33 × 90 = 4259.7
47.33 × 4.28 = ?
47.33 × 4 = 189.32
47.33 × 0.2 = 9.466
47.33 × 0.08 = 3.7864
Sum: 189.32 + 9.466 = 198.786 + 3.7864 = 202.5724
Total: 4259.7 + 202.5724 = 4462.2724
✔ Eleventh answer: 4462.2724
---
12. 50.74 × 66.77
50.74 × 60 = 3044.4
50.74 × 6.77 = ?
50.74 × 6 = 304.44
50.74 × 0.7 = 35.518
50.74 × 0.07 = 3.5518
Sum: 304.44 + 35.518 = 339.958 + 3.5518 = 343.5098
Total: 3044.4 + 343.5098 = 3387.9098
✔ Twelfth answer: 3387.9098
---
Third Row:
13. 88.49 × 31.45
88.49 × 30 = 2654.7
88.49 × 1.45 = ?
88.49 × 1 = 88.49
88.49 × 0.4 = 35.396
88.49 × 0.05 = 4.4245
Sum: 88.49 + 35.396 = 123.886 + 4.4245 = 128.3105
Total: 2654.7 + 128.3105 = 2783.0105
✔ Thirteenth answer: 2783.0105
---
14. 78.99 × 17.28
78.99 × 17 = 78.99 × 10 = 789.9; 78.99 × 7 = 552.93 → total 789.9 + 552.93 = 1342.83
78.99 × 0.28 = ?
78.99 × 0.2 = 15.798
78.99 × 0.08 = 6.3192
Sum: 15.798 + 6.3192 = 22.1172
Total: 1342.83 + 22.1172 = 1364.9472
✔ Fourteenth answer: 1364.9472
---
15. 14.13 × 80.45
14.13 × 80 = 1130.4
14.13 × 0.45 = ?
14.13 × 0.4 = 5.652
14.13 × 0.05 = 0.7065
Sum: 5.652 + 0.7065 = 6.3585
Total: 1130.4 + 6.3585 = 1136.7585
✔ Fifteenth answer: 1136.7585
---
16. 72.94 × 95.93
72.94 × 90 = 6564.6
72.94 × 5.93 = ?
72.94 × 5 = 364.7
72.94 × 0.9 = 65.646
72.94 × 0.03 = 2.1882
Sum: 364.7 + 65.646 = 430.346 + 2.1882 = 432.5342
Total: 6564.6 + 432.5342 = 6997.1342
✔ Sixteenth answer: 6997.1342
---
17. 67.29 × 68.76
67.29 × 60 = 4037.4
67.29 × 8.76 = ?
67.29 × 8 = 538.32
67.29 × 0.7 = 47.103
67.29 × 0.06 = 4.0374
Sum: 538.32 + 47.103 = 585.423 + 4.0374 = 589.4604
Total: 4037.4 + 589.4604 = 4626.8604
✔ Seventeenth answer: 4626.8604
---
18. 24.58 × 88.15
24.58 × 80 = 1966.4
24.58 × 8.15 = ?
24.58 × 8 = 196.64
24.58 × 0.1 = 2.458
24.58 × 0.05 = 1.229
Sum: 196.64 + 2.458 = 199.098 + 1.229 = 200.327
Total: 1966.4 + 200.327 = 2166.727
✔ Eighteenth answer: 2166.727
---
Fourth Row:
19. 74.53 × 48.17
74.53 × 40 = 2981.2
74.53 × 8.17 = ?
74.53 × 8 = 596.24
74.53 × 0.1 = 7.453
74.53 × 0.07 = 5.2171
Sum: 596.24 + 7.453 = 603.693 + 5.2171 = 608.9101
Total: 2981.2 + 608.9101 = 3590.1101
✔ Nineteenth answer: 3590.1101
---
20. 76.68 × 43.65
76.68 × 40 = 3067.2
76.68 × 3.65 = ?
76.68 × 3 = 230.04
76.68 × 0.6 = 46.008
76.68 × 0.05 = 3.834
Sum: 230.04 + 46.008 = 276.048 + 3.834 = 279.882
Total: 3067.2 + 279.882 = 3347.082
✔ Twentieth answer: 3347.082
---
21. 22.33 × 16.99
22.33 × 16 = 22.33 × 10 = 223.3; 22.33 × 6 = 133.98 → total 223.3 + 133.98 = 357.28
22.33 × 0.99 = ?
22.33 × 1 = 22.33 minus 22.33 × 0.01 = 0.2233 → 22.33 - 0.2233 = 22.1067
Total: 357.28 + 22.1067 = 379.3867
✔ Twenty-first answer: 379.3867
---
22. 27.75 × 85.59
27.75 × 80 = 2220
27.75 × 5.59 = ?
27.75 × 5 = 138.75
27.75 × 0.5 = 13.875
27.75 × 0.09 = 2.4975
Sum: 138.75 + 13.875 = 152.625 + 2.4975 = 155.1225
Total: 2220 + 155.1225 = 2375.1225
✔ Twenty-second answer: 2375.1225
---
23. 65.41 × 70.64
65.41 × 70 = 4578.7
65.41 × 0.64 = ?
65.41 × 0.6 = 39.246
65.41 × 0.04 = 2.6164
Sum: 39.246 + 2.6164 = 41.8624
Total: 4578.7 + 41.8624 = 4620.5624
✔ Twenty-third answer: 4620.5624
---
24. 87.53 × 77.91
87.53 × 70 = 6127.1
87.53 × 7.91 = ?
87.53 × 7 = 612.71
87.53 × 0.9 = 78.777
87.53 × 0.01 = 0.8753
Sum: 612.71 + 78.777 = 691.487 + 0.8753 = 692.3623
Total: 6127.1 + 692.3623 = 6819.4623
✔ Twenty-fourth answer: 6819.4623
---
Now, compiling all answers in order as they appear on the worksheet:
Final Answer:
907.8921
252.8505
2895.2676
1529.9025
960.1005
4212.9934
1740.1356
2744.9848
5870.1175
8711.1612
4462.2724
3387.9098
2783.0105
1364.9472
1136.7585
6997.1342
4626.8604
2166.727
3590.1101
3347.082
379.3867
2375.1225
4620.5624
6819.4623
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals worksheet grade 7.
