Practice multiplying decimals with this math worksheet, including problems and solutions for skill development.
Math worksheet titled "Skill Practice 1: Multiplying with Decimals" featuring decimal multiplication problems with solutions.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Numbers with Decimals Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Numbers with Decimals Worksheets
Here are the solutions to the decimal multiplication problems shown on the worksheet.
1. $8.56 \times 21$
- First, multiply $856 \times 1 = 856$.
- Next, multiply $856 \times 20 = 17,120$.
- Add them together: $856 + 17,120 = 17,976$.
- The number $8.56$ has 2 decimal places. The number $21$ has 0. So, the answer needs 2 decimal places.
- Result: 179.76
2. $12.3 \times 15.2$
- Multiply $123 \times 152 = 18,696$.
- $12.3$ has 1 decimal place and $15.2$ has 1. Total: 2 decimal places.
- Result: 186.96
3. $6.089 \times 2.15$
- Multiply $6,089 \times 215 = 1,309,135$.
- $6.089$ has 3 decimal places and $2.15$ has 2. Total: 5 decimal places.
- Result: 13.09135
4. $12.36 \times 10.3$
- Multiply $1,236 \times 103 = 127,308$.
- $12.36$ has 2 decimal places and $10.3$ has 1. Total: 3 decimal places.
- Result: 127.308
5. $5.07 \times 92$
- Multiply $507 \times 92 = 46,644$.
- $5.07$ has 2 decimal places and $92$ has 0. Total: 2 decimal places.
- Result: 466.44
6. $80.2 \times 4.9$
- Multiply $802 \times 49 = 39,298$.
- $80.2$ has 1 decimal place and $4.9$ has 1. Total: 2 decimal places.
- Result: 392.98
7. $14.95 \times 0.41$
- Multiply $1,495 \times 41 = 61,295$.
- $14.95$ has 2 decimal places and $0.41$ has 2. Total: 4 decimal places.
- Result: 6.1295
8. $1.063 \times 5.24$
- Multiply $1,063 \times 524 = 557,012$.
- $1.063$ has 3 decimal places and $5.24$ has 2. Total: 5 decimal places.
- Result: 5.57012
9. $20.4 \times 4.53$
- Multiply $204 \times 453 = 92,412$.
- $20.4$ has 1 decimal place and $4.53$ has 2. Total: 3 decimal places.
- Result: 92.412
10. $9.31 \times 58$
- Multiply $931 \times 58 = 54,000 - 8 = 53,998$ (Wait, let's do standard multiplication: $931 \times 50 = 46,550$ and $931 \times 8 = 7,448$. Sum: $53,998$).
- $9.31$ has 2 decimal places and $58$ has 0. Total: 2 decimal places.
- Result: 539.98
11. $61.9 \times 7.2$
- Multiply $619 \times 72 = 44,568$.
- $61.9$ has 1 decimal place and $7.2$ has 1. Total: 2 decimal places.
- Result: 445.68
12. $2.406 \times 1.23$
- Multiply $2,406 \times 123 = 295,938$.
- $2.406$ has 3 decimal places and $1.23$ has 2. Total: 5 decimal places.
- Result: 2.95938
13. $4.2 \times 9.5$
- Multiply $42 \times 95 = 3,990$.
- $4.2$ has 1 decimal place and $9.5$ has 1. Total: 2 decimal places.
- Result: 39.90 (or just 39.9)
14. $10.54 \times 37$
- Multiply $1,054 \times 37 = 38,998$.
- $10.54$ has 2 decimal places and $37$ has 0. Total: 2 decimal places.
- Result: 389.98
15. $45.6 \times 21.3$
- Multiply $456 \times 213 = 97,128$.
- $45.6$ has 1 decimal place and $21.3$ has 1. Total: 2 decimal places.
- Result: 971.28
16. $7.32 \times 15.2$
- Multiply $732 \times 152 = 111,264$.
- $7.32$ has 2 decimal places and $15.2$ has 1. Total: 3 decimal places.
- Result: 111.264
17. $7.521 \times 6.108$
- Multiply $7,521 \times 6,108 = 45,938,268$.
- $7.521$ has 3 decimal places and $6.108$ has 3. Total: 6 decimal places.
- Result: 45.938268
18. $48.3 \times 1.02$
- Multiply $483 \times 102 = 49,266$.
- $48.3$ has 1 decimal place and $1.02$ has 2. Total: 3 decimal places.
- Result: 49.266
19. $39.04 \times 4.78$
- Multiply $3,904 \times 478 = 1,866,112$.
- $39.04$ has 2 decimal places and $4.78$ has 2. Total: 4 decimal places.
- Result: 186.6112
20. $7.504 \times 1.3$
- Multiply $7,504 \times 13 = 97,552$.
- $7.504$ has 3 decimal places and $1.3$ has 1. Total: 4 decimal places.
- Result: 9.7552
Final Answer:
1. 179.76
2. 186.96
3. 13.09135
4. 127.308
5. 466.44
6. 392.98
7. 6.1295
8. 5.57012
9. 92.412
10. 539.98
11. 445.68
12. 2.95938
13. 39.9
14. 389.98
15. 971.28
16. 111.264
17. 45.938268
18. 49.266
19. 186.6112
20. 9.7552
1. $8.56 \times 21$
- First, multiply $856 \times 1 = 856$.
- Next, multiply $856 \times 20 = 17,120$.
- Add them together: $856 + 17,120 = 17,976$.
- The number $8.56$ has 2 decimal places. The number $21$ has 0. So, the answer needs 2 decimal places.
- Result: 179.76
2. $12.3 \times 15.2$
- Multiply $123 \times 152 = 18,696$.
- $12.3$ has 1 decimal place and $15.2$ has 1. Total: 2 decimal places.
- Result: 186.96
3. $6.089 \times 2.15$
- Multiply $6,089 \times 215 = 1,309,135$.
- $6.089$ has 3 decimal places and $2.15$ has 2. Total: 5 decimal places.
- Result: 13.09135
4. $12.36 \times 10.3$
- Multiply $1,236 \times 103 = 127,308$.
- $12.36$ has 2 decimal places and $10.3$ has 1. Total: 3 decimal places.
- Result: 127.308
5. $5.07 \times 92$
- Multiply $507 \times 92 = 46,644$.
- $5.07$ has 2 decimal places and $92$ has 0. Total: 2 decimal places.
- Result: 466.44
6. $80.2 \times 4.9$
- Multiply $802 \times 49 = 39,298$.
- $80.2$ has 1 decimal place and $4.9$ has 1. Total: 2 decimal places.
- Result: 392.98
7. $14.95 \times 0.41$
- Multiply $1,495 \times 41 = 61,295$.
- $14.95$ has 2 decimal places and $0.41$ has 2. Total: 4 decimal places.
- Result: 6.1295
8. $1.063 \times 5.24$
- Multiply $1,063 \times 524 = 557,012$.
- $1.063$ has 3 decimal places and $5.24$ has 2. Total: 5 decimal places.
- Result: 5.57012
9. $20.4 \times 4.53$
- Multiply $204 \times 453 = 92,412$.
- $20.4$ has 1 decimal place and $4.53$ has 2. Total: 3 decimal places.
- Result: 92.412
10. $9.31 \times 58$
- Multiply $931 \times 58 = 54,000 - 8 = 53,998$ (Wait, let's do standard multiplication: $931 \times 50 = 46,550$ and $931 \times 8 = 7,448$. Sum: $53,998$).
- $9.31$ has 2 decimal places and $58$ has 0. Total: 2 decimal places.
- Result: 539.98
11. $61.9 \times 7.2$
- Multiply $619 \times 72 = 44,568$.
- $61.9$ has 1 decimal place and $7.2$ has 1. Total: 2 decimal places.
- Result: 445.68
12. $2.406 \times 1.23$
- Multiply $2,406 \times 123 = 295,938$.
- $2.406$ has 3 decimal places and $1.23$ has 2. Total: 5 decimal places.
- Result: 2.95938
13. $4.2 \times 9.5$
- Multiply $42 \times 95 = 3,990$.
- $4.2$ has 1 decimal place and $9.5$ has 1. Total: 2 decimal places.
- Result: 39.90 (or just 39.9)
14. $10.54 \times 37$
- Multiply $1,054 \times 37 = 38,998$.
- $10.54$ has 2 decimal places and $37$ has 0. Total: 2 decimal places.
- Result: 389.98
15. $45.6 \times 21.3$
- Multiply $456 \times 213 = 97,128$.
- $45.6$ has 1 decimal place and $21.3$ has 1. Total: 2 decimal places.
- Result: 971.28
16. $7.32 \times 15.2$
- Multiply $732 \times 152 = 111,264$.
- $7.32$ has 2 decimal places and $15.2$ has 1. Total: 3 decimal places.
- Result: 111.264
17. $7.521 \times 6.108$
- Multiply $7,521 \times 6,108 = 45,938,268$.
- $7.521$ has 3 decimal places and $6.108$ has 3. Total: 6 decimal places.
- Result: 45.938268
18. $48.3 \times 1.02$
- Multiply $483 \times 102 = 49,266$.
- $48.3$ has 1 decimal place and $1.02$ has 2. Total: 3 decimal places.
- Result: 49.266
19. $39.04 \times 4.78$
- Multiply $3,904 \times 478 = 1,866,112$.
- $39.04$ has 2 decimal places and $4.78$ has 2. Total: 4 decimal places.
- Result: 186.6112
20. $7.504 \times 1.3$
- Multiply $7,504 \times 13 = 97,552$.
- $7.504$ has 3 decimal places and $1.3$ has 1. Total: 4 decimal places.
- Result: 9.7552
Final Answer:
1. 179.76
2. 186.96
3. 13.09135
4. 127.308
5. 466.44
6. 392.98
7. 6.1295
8. 5.57012
9. 92.412
10. 539.98
11. 445.68
12. 2.95938
13. 39.9
14. 389.98
15. 971.28
16. 111.264
17. 45.938268
18. 49.266
19. 186.6112
20. 9.7552
Parent Tip: Review the logic above to help your child master the concept of multiplying decimal worksheet.