Dizzy Over Decimals: Multiplying Decimals #2 | Interactive ... - Free Printable

Problem: Multiplying Decimals

The task involves solving a series of decimal multiplication problems. The key rule to remember is that the total number of decimal places in the answer should equal the sum of the decimal places in the factors being multiplied.

#### Step-by-Step Solution:

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Row 1:

1. 7.01 × 6.1
- Decimal places: 7.01 has 2 decimal places, and 6.1 has 1 decimal place.
- Total decimal places in the answer: 2 + 1 = 3.
- Perform the multiplication: \( 701 \times 61 = 42761 \).
- Place the decimal point: \( 42.761 \).

Answer: \( 42.761 \)

2. 84.3 × 3.6
- Decimal places: 84.3 has 1 decimal place, and 3.6 has 1 decimal place.
- Total decimal places in the answer: 1 + 1 = 2.
- Perform the multiplication: \( 843 \times 36 = 30348 \).
- Place the decimal point: \( 303.48 \).

Answer: \( 303.48 \)

3. 9.63 × 0.24
- Decimal places: 9.63 has 2 decimal places, and 0.24 has 2 decimal places.
- Total decimal places in the answer: 2 + 2 = 4.
- Perform the multiplication: \( 963 \times 24 = 23112 \).
- Place the decimal point: \( 2.3112 \).

Answer: \( 2.3112 \)

4. 10.5 × 1.9
- Decimal places: 10.5 has 1 decimal place, and 1.9 has 1 decimal place.
- Total decimal places in the answer: 1 + 1 = 2.
- Perform the multiplication: \( 105 \times 19 = 1995 \).
- Place the decimal point: \( 19.95 \).

Answer: \( 19.95 \)

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Row 2:

5. 2.76 × 0.14
- Decimal places: 2.76 has 2 decimal places, and 0.14 has 2 decimal places.
- Total decimal places in the answer: 2 + 2 = 4.
- Perform the multiplication: \( 276 \times 14 = 3864 \).
- Place the decimal point: \( 0.3864 \).

Answer: \( 0.3864 \)

6. 13.5 × 0.87
- Decimal places: 13.5 has 1 decimal place, and 0.87 has 2 decimal places.
- Total decimal places in the answer: 1 + 2 = 3.
- Perform the multiplication: \( 135 \times 87 = 11745 \).
- Place the decimal point: \( 11.745 \).

Answer: \( 11.745 \)

7. 4.07 × 0.36
- Decimal places: 4.07 has 2 decimal places, and 0.36 has 2 decimal places.
- Total decimal places in the answer: 2 + 2 = 4.
- Perform the multiplication: \( 407 \times 36 = 14652 \).
- Place the decimal point: \( 1.4652 \).

Answer: \( 1.4652 \)

8. 91.2 × 2.8
- Decimal places: 91.2 has 1 decimal place, and 2.8 has 1 decimal place.
- Total decimal places in the answer: 1 + 1 = 2.
- Perform the multiplication: \( 912 \times 28 = 25536 \).
- Place the decimal point: \( 255.36 \).

Answer: \( 255.36 \)

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Row 3:

9. 903.1 × 0.52
- Decimal places: 903.1 has 1 decimal place, and 0.52 has 2 decimal places.
- Total decimal places in the answer: 1 + 2 = 3.
- Perform the multiplication: \( 9031 \times 52 = 470612 \).
- Place the decimal point: \( 470.612 \).

Answer: \( 470.612 \)

10. 32.91 × 4.3
- Decimal places: 32.91 has 2 decimal places, and 4.3 has 1 decimal place.
- Total decimal places in the answer: 2 + 1 = 3.
- Perform the multiplication: \( 3291 \times 43 = 141513 \).
- Place the decimal point: \( 141.513 \).

Answer: \( 141.513 \)

11. 4.057 × 1.4
- Decimal places: 4.057 has 3 decimal places, and 1.4 has 1 decimal place.
- Total decimal places in the answer: 3 + 1 = 4.
- Perform the multiplication: \( 4057 \times 14 = 56800 \).
- Place the decimal point: \( 5.6800 \) (or simply \( 5.680 \)).

Answer: \( 5.680 \)

12. 38.26 × 5.6
- Decimal places: 38.26 has 2 decimal places, and 5.6 has 1 decimal place.
- Total decimal places in the answer: 2 + 1 = 3.
- Perform the multiplication: \( 3826 \times 56 = 214256 \).
- Place the decimal point: \( 214.256 \).

Answer: \( 214.256 \)

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Row 4:

13. 86.22 × 0.76
- Decimal places: 86.22 has 2 decimal places, and 0.76 has 2 decimal places.
- Total decimal places in the answer: 2 + 2 = 4.
- Perform the multiplication: \( 8622 \times 76 = 656052 \).
- Place the decimal point: \( 65.6052 \).

Answer: \( 65.6052 \)

14. 2.643 × 0.92
- Decimal places: 2.643 has 3 decimal places, and 0.92 has 2 decimal places.
- Total decimal places in the answer: 3 + 2 = 5.
- Perform the multiplication: \( 2643 \times 92 = 243516 \).
- Place the decimal point: \( 2.43516 \).

Answer: \( 2.43516 \)

15. 6.108 × 5.9
- Decimal places: 6.108 has 3 decimal places, and 5.9 has 1 decimal place.
- Total decimal places in the answer: 3 + 1 = 4.
- Perform the multiplication: \( 6108 \times 59 = 360372 \).
- Place the decimal point: \( 36.0372 \).

Answer: \( 36.0372 \)

16. 184.5 × 0.27
- Decimal places: 184.5 has 1 decimal place, and 0.27 has 2 decimal places.
- Total decimal places in the answer: 1 + 2 = 3.
- Perform the multiplication: \( 1845 \times 27 = 49815 \).
- Place the decimal point: \( 50.015 \).

Answer: \( 50.015 \)

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Final Answers:

\[
\boxed{
\begin{array}{cccc}
42.761 & 303.48 & 2.3112 & 19.95 \\
0.3864 & 11.745 & 1.4652 & 255.36 \\
470.612 & 141.513 & 5.680 & 214.256 \\
65.6052 & 2.43516 & 36.0372 & 50.015 \\
\end{array}
}
\]