Multiplying Three-Digit by Two-Digit with Various Decimal Places (A) - Free Printable

Problem: Multiplying Decimals

The task is to find the product of each pair of numbers in the given table. Below, I will solve each multiplication step by step.

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#### Row 1:
1. 0.716 × 0.49
- Multiply as if they were whole numbers: \( 716 \times 49 = 35084 \).
- Count the total number of decimal places in both numbers: \( 3 + 2 = 5 \).
- Place the decimal point in the result: \( 0.35084 \).

Answer: \( 0.35084 \)

2. 0.518 × 52
- Multiply as if they were whole numbers: \( 518 \times 52 = 26936 \).
- Count the total number of decimal places in both numbers: \( 3 + 0 = 3 \).
- Place the decimal point in the result: \( 26.936 \).

Answer: \( 26.936 \)

3. 59.7 × 8.4
- Multiply as if they were whole numbers: \( 597 \times 84 = 50148 \).
- Count the total number of decimal places in both numbers: \( 1 + 1 = 2 \).
- Place the decimal point in the result: \( 501.48 \).

Answer: \( 501.48 \)

4. 25.1 × 0.20
- Multiply as if they were whole numbers: \( 251 \times 20 = 5020 \).
- Count the total number of decimal places in both numbers: \( 1 + 2 = 3 \).
- Place the decimal point in the result: \( 5.020 \) (or simply \( 5.02 \)).

Answer: \( 5.02 \)

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#### Row 2:
5. 0.504 × 3.4
- Multiply as if they were whole numbers: \( 504 \times 34 = 17136 \).
- Count the total number of decimal places in both numbers: \( 3 + 1 = 4 \).
- Place the decimal point in the result: \( 1.7136 \).

Answer: \( 1.7136 \)

6. 0.780 × 0.99
- Multiply as if they were whole numbers: \( 780 \times 99 = 77220 \).
- Count the total number of decimal places in both numbers: \( 3 + 2 = 5 \).
- Place the decimal point in the result: \( 0.77220 \) (or simply \( 0.7722 \)).

Answer: \( 0.7722 \)

7. 2.18 × 44
- Multiply as if they were whole numbers: \( 218 \times 44 = 9592 \).
- Count the total number of decimal places in both numbers: \( 2 + 0 = 2 \).
- Place the decimal point in the result: \( 95.92 \).

Answer: \( 95.92 \)

8. 8.50 × 1.6
- Multiply as if they were whole numbers: \( 850 \times 16 = 13600 \).
- Count the total number of decimal places in both numbers: \( 2 + 1 = 3 \).
- Place the decimal point in the result: \( 13.600 \) (or simply \( 13.6 \)).

Answer: \( 13.6 \)

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#### Row 3:
9. 810 × 0.43
- Multiply as if they were whole numbers: \( 810 \times 43 = 34830 \).
- Count the total number of decimal places in both numbers: \( 0 + 2 = 2 \).
- Place the decimal point in the result: \( 348.30 \) (or simply \( 348.3 \)).

Answer: \( 348.3 \)

10. 34.0 × 0.38
- Multiply as if they were whole numbers: \( 340 \times 38 = 12920 \).
- Count the total number of decimal places in both numbers: \( 1 + 2 = 3 \).
- Place the decimal point in the result: \( 12.920 \) (or simply \( 12.92 \)).

Answer: \( 12.92 \)

11. 332 × 89
- Multiply as if they were whole numbers: \( 332 \times 89 = 29548 \).
- Count the total number of decimal places in both numbers: \( 0 + 0 = 0 \).
- Place the decimal point in the result: \( 29548 \).

Answer: \( 29548 \)

12. 0.413 × 35
- Multiply as if they were whole numbers: \( 413 \times 35 = 14455 \).
- Count the total number of decimal places in both numbers: \( 3 + 0 = 3 \).
- Place the decimal point in the result: \( 14.455 \).

Answer: \( 14.455 \)

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#### Row 4:
13. 5.41 × 0.44
- Multiply as if they were whole numbers: \( 541 \times 44 = 23764 \).
- Count the total number of decimal places in both numbers: \( 2 + 2 = 4 \).
- Place the decimal point in the result: \( 2.3764 \).

Answer: \( 2.3764 \)

14. 94.7 × 95
- Multiply as if they were whole numbers: \( 947 \times 95 = 89965 \).
- Count the total number of decimal places in both numbers: \( 1 + 0 = 1 \).
- Place the decimal point in the result: \( 8996.5 \).

Answer: \( 8996.5 \)

15. 6.19 × 0.30
- Multiply as if they were whole numbers: \( 619 \times 30 = 18570 \).
- Count the total number of decimal places in both numbers: \( 2 + 2 = 4 \).
- Place the decimal point in the result: \( 1.8570 \) (or simply \( 1.857 \)).

Answer: \( 1.857 \)

16. 71.8 × 12
- Multiply as if they were whole numbers: \( 718 \times 12 = 8616 \).
- Count the total number of decimal places in both numbers: \( 1 + 0 = 1 \).
- Place the decimal point in the result: \( 861.6 \).

Answer: \( 861.6 \)

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#### Row 5:
17. 0.196 × 0.82
- Multiply as if they were whole numbers: \( 196 \times 82 = 16112 \).
- Count the total number of decimal places in both numbers: \( 3 + 2 = 5 \).
- Place the decimal point in the result: \( 0.16112 \).

Answer: \( 0.16112 \)

18. 663 × 45
- Multiply as if they were whole numbers: \( 663 \times 45 = 29835 \).
- Count the total number of decimal places in both numbers: \( 0 + 0 = 0 \).
- Place the decimal point in the result: \( 29835 \).

Answer: \( 29835 \)

19. 3.45 × 83
- Multiply as if they were whole numbers: \( 345 \times 83 = 28785 \).
- Count the total number of decimal places in both numbers: \( 2 + 0 = 2 \).
- Place the decimal point in the result: \( 287.85 \).

Answer: \( 287.85 \)

20. 0.426 × 44
- Multiply as if they were whole numbers: \( 426 \times 44 = 18744 \).
- Count the total number of decimal places in both numbers: \( 3 + 0 = 3 \).
- Place the decimal point in the result: \( 18.744 \).

Answer: \( 18.744 \)

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Final Answers:

\[
\boxed{
\begin{array}{cccc}
0.35084 & 26.936 & 501.48 & 5.02 \\
1.7136 & 0.7722 & 95.92 & 13.6 \\
348.3 & 12.92 & 29548 & 14.455 \\
2.3764 & 8996.5 & 1.857 & 861.6 \\
0.16112 & 29835 & 287.85 & 18.744 \\
\end{array}
}
\]