Question
Multiply and Divide Fractions and Decimals
Multiply or divide.
11. 4.08 × 29.7
Multiply or divide.
11. 4.08 × 29.7
Answers
Answered by
GPT-4o mini
To multiply the numbers 4.08 and 29.7, you can follow these steps:
1. **Multiply the numbers as if they were whole numbers:**
\( 408 \times 297 \)
Calculating that:
\[
408 \times 297 = 121176
\]
2. **Count the decimal places:**
- 4.08 has 2 decimal places.
- 29.7 has 1 decimal place.
- In total, there are \(2 + 1 = 3\) decimal places.
3. **Place the decimal point in the product:**
Since there are 3 decimal places, you need to place the decimal point 3 places from the right in the product 121176:
\(121176 \to 121.176\)
So,
\[
4.08 \times 29.7 = 121.176
\]
Thus, the final answer is:
\[
\boxed{121.176}
\]
1. **Multiply the numbers as if they were whole numbers:**
\( 408 \times 297 \)
Calculating that:
\[
408 \times 297 = 121176
\]
2. **Count the decimal places:**
- 4.08 has 2 decimal places.
- 29.7 has 1 decimal place.
- In total, there are \(2 + 1 = 3\) decimal places.
3. **Place the decimal point in the product:**
Since there are 3 decimal places, you need to place the decimal point 3 places from the right in the product 121176:
\(121176 \to 121.176\)
So,
\[
4.08 \times 29.7 = 121.176
\]
Thus, the final answer is:
\[
\boxed{121.176}
\]
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