Multiplying Decimals interactive worksheet for 3 - Free Printable

Problem: Multiplying Decimals

The task is to multiply the given pairs of numbers and correctly place the decimal point in the product. The key rule is to count the total number of decimal places in the factors and apply that to the product.

Let's solve each multiplication step by step.

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#### Row 1:
1. 68.2 × 8.4
- Multiply as whole numbers: \( 682 \times 84 = 57348 \)
- Count decimal places: 68.2 has 1 decimal place, and 8.4 has 1 decimal place. Total = 2 decimal places.
- Place the decimal: \( 573.48 \)

2. 630 × 1.2
- Multiply as whole numbers: \( 630 \times 12 = 7560 \)
- Count decimal places: 630 has 0 decimal places, and 1.2 has 1 decimal place. Total = 1 decimal place.
- Place the decimal: \( 756.0 \) or simply \( 756 \)

3. 16.0 × 36
- Multiply as whole numbers: \( 160 \times 36 = 5760 \)
- Count decimal places: 16.0 has 1 decimal place, and 36 has 0 decimal places. Total = 1 decimal place.
- Place the decimal: \( 576.0 \) or simply \( 576 \)

4. 5.52 × 0.25
- Multiply as whole numbers: \( 552 \times 25 = 13800 \)
- Count decimal places: 5.52 has 2 decimal places, and 0.25 has 2 decimal places. Total = 4 decimal places.
- Place the decimal: \( 1.3800 \) or simply \( 1.38 \)

5. 32.3 × 26
- Multiply as whole numbers: \( 323 \times 26 = 8398 \)
- Count decimal places: 32.3 has 1 decimal place, and 26 has 0 decimal places. Total = 1 decimal place.
- Place the decimal: \( 839.8 \)

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#### Row 2:
1. 7.91 × 0.19
- Multiply as whole numbers: \( 791 \times 19 = 15029 \)
- Count decimal places: 7.91 has 2 decimal places, and 0.19 has 2 decimal places. Total = 4 decimal places.
- Place the decimal: \( 1.5029 \)

2. 26.3 × 7.8
- Multiply as whole numbers: \( 263 \times 78 = 20514 \)
- Count decimal places: 26.3 has 1 decimal place, and 7.8 has 1 decimal place. Total = 2 decimal places.
- Place the decimal: \( 205.14 \)

3. 3.07 × 19
- Multiply as whole numbers: \( 307 \times 19 = 5833 \)
- Count decimal places: 3.07 has 2 decimal places, and 19 has 0 decimal places. Total = 2 decimal places.
- Place the decimal: \( 58.33 \)

4. 63.2 × 8.5
- Multiply as whole numbers: \( 632 \times 85 = 53720 \)
- Count decimal places: 63.2 has 1 decimal place, and 8.5 has 1 decimal place. Total = 2 decimal places.
- Place the decimal: \( 537.20 \) or simply \( 537.2 \)

5. 0.394 × 70
- Multiply as whole numbers: \( 394 \times 70 = 27580 \)
- Count decimal places: 0.394 has 3 decimal places, and 70 has 0 decimal places. Total = 3 decimal places.
- Place the decimal: \( 27.580 \) or simply \( 27.58 \)

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#### Row 3:
1. 55.8 × 9.4
- Multiply as whole numbers: \( 558 \times 94 = 52452 \)
- Count decimal places: 55.8 has 1 decimal place, and 9.4 has 1 decimal place. Total = 2 decimal places.
- Place the decimal: \( 524.52 \)

2. 596 × 3.6
- Multiply as whole numbers: \( 596 \times 36 = 21456 \)
- Count decimal places: 596 has 0 decimal places, and 3.6 has 1 decimal place. Total = 1 decimal place.
- Place the decimal: \( 2145.6 \)

3. 940 × 8.2
- Multiply as whole numbers: \( 940 \times 82 = 77080 \)
- Count decimal places: 940 has 0 decimal places, and 8.2 has 1 decimal place. Total = 1 decimal place.
- Place the decimal: \( 7708.0 \) or simply \( 7708 \)

4. 203 × 42
- Multiply as whole numbers: \( 203 \times 42 = 8526 \)
- Count decimal places: 203 has 0 decimal places, and 42 has 0 decimal places. Total = 0 decimal places.
- Place the decimal: \( 8526 \)

5. 0.707 × 0.97
- Multiply as whole numbers: \( 707 \times 97 = 68479 \)
- Count decimal places: 0.707 has 3 decimal places, and 0.97 has 2 decimal places. Total = 5 decimal places.
- Place the decimal: \( 0.68479 \)

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#### Row 4:
1. 906 × 64
- Multiply as whole numbers: \( 906 \times 64 = 57984 \)
- Count decimal places: 906 has 0 decimal places, and 64 has 0 decimal places. Total = 0 decimal places.
- Place the decimal: \( 57984 \)

2. 310 × 1.8
- Multiply as whole numbers: \( 310 \times 18 = 5580 \)
- Count decimal places: 310 has 0 decimal places, and 1.8 has 1 decimal place. Total = 1 decimal place.
- Place the decimal: \( 558.0 \) or simply \( 558 \)

3. 520 × 0.92
- Multiply as whole numbers: \( 520 \times 92 = 47840 \)
- Count decimal places: 520 has 0 decimal places, and 0.92 has 2 decimal places. Total = 2 decimal places.
- Place the decimal: \( 478.40 \) or simply \( 478.4 \)

4. 131 × 0.41
- Multiply as whole numbers: \( 131 \times 41 = 5371 \)
- Count decimal places: 131 has 0 decimal places, and 0.41 has 2 decimal places. Total = 2 decimal places.
- Place the decimal: \( 53.71 \)

5. 6.00 × 5.1
- Multiply as whole numbers: \( 600 \times 51 = 30600 \)
- Count decimal places: 6.00 has 2 decimal places, and 5.1 has 1 decimal place. Total = 3 decimal places.
- Place the decimal: \( 30.600 \) or simply \( 30.6 \)

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#### Row 5:
1. 0.913 × 56
- Multiply as whole numbers: \( 913 \times 56 = 51128 \)
- Count decimal places: 0.913 has 3 decimal places, and 56 has 0 decimal places. Total = 3 decimal places.
- Place the decimal: \( 51.128 \)

2. 12.8 × 3.8
- Multiply as whole numbers: \( 128 \times 38 = 4864 \)
- Count decimal places: 12.8 has 1 decimal place, and 3.8 has 1 decimal place. Total = 2 decimal places.
- Place the decimal: \( 48.64 \)

3. 52.2 × 2.3
- Multiply as whole numbers: \( 522 \times 23 = 11986 \)
- Count decimal places: 52.2 has 1 decimal place, and 2.3 has 1 decimal place. Total = 2 decimal places.
- Place the decimal: \( 119.86 \)

4. 0.394 × 76
- Multiply as whole numbers: \( 394 \times 76 = 29984 \)
- Count decimal places: 0.394 has 3 decimal places, and 76 has 0 decimal places. Total = 3 decimal places.
- Place the decimal: \( 29.984 \)

5. 0.411 × 0.35
- Multiply as whole numbers: \( 411 \times 35 = 14385 \)
- Count decimal places: 0.411 has 3 decimal places, and 0.35 has 2 decimal places. Total = 5 decimal places.
- Place the decimal: \( 0.14385 \)

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Final Answers:

\[
\boxed{
\begin{array}{ccccc}
573.48 & 756 & 576 & 1.38 & 839.8 \\
1.5029 & 205.14 & 58.33 & 537.2 & 27.58 \\
524.52 & 2145.6 & 7708 & 8526 & 0.68479 \\
57984 & 558 & 478.4 & 53.71 & 30.6 \\
51.128 & 48.64 & 119.86 & 29.984 & 0.14385 \\
\end{array}
}
\]