Question
Multiply: \( 7.1 \times 3.07 \)
Ask by Hilton Chambers. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 7.1 \times 3.07 = 21.797 \)
Solution
To multiply \( 7.1 \times 3.07 \), follow these steps:
1. **Breakdown the Numbers:**
- \( 7.1 = 7 + 0.1 \)
- \( 3.07 = 3 + 0.07 \)
2. **Multiply Each Part Separately:**
- \( 7 \times 3 = 21 \)
- \( 7 \times 0.07 = 0.49 \)
- \( 0.1 \times 3 = 0.3 \)
- \( 0.1 \times 0.07 = 0.007 \)
3. **Add All the Products Together:**
\[
21 + 0.49 + 0.3 + 0.007 = 21.797
\]
**Final Answer:**
\[
7.1 \times 3.07 = 21.797
\]
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Extra Insights
To multiply \( 7.1 \times 3.07 \), you can break it down for easier calculation. First, ignore the decimals and multiply \( 71 \times 307 \). This equals \( 21757 \). Now, you need to account for the decimal places. \( 7.1 \) has one decimal place, and \( 3.07 \) has two, totaling three decimal places. Therefore, you move the decimal point three places left in \( 21757 \), resulting in \( 21.757 \). So, \( 7.1 \times 3.07 = 21.757 \).