Question
Work out \( \frac{3.744 \times 10^{9}}{2.4 \times 10^{5}} \)
Ask by Patel Kelly. in the United Kingdom
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \frac{3.744 \times 10^{9}}{2.4 \times 10^{5}} = 1.56 \times 10^{4} \)
Solution
To calculate \( \frac{3.744 \times 10^{9}}{2.4 \times 10^{5}} \), follow these steps:
1. **Divide the coefficients:**
\[
\frac{3.744}{2.4} = 1.56
\]
2. **Subtract the exponents (since you're dividing with the same base \(10\)):**
\[
10^{9} \div 10^{5} = 10^{4}
\]
3. **Combine the results:**
\[
1.56 \times 10^{4}
\]
So,
\[
\frac{3.744 \times 10^{9}}{2.4 \times 10^{5}} = 1.56 \times 10^{4}
\]
This can also be written in standard form as **15,600**.
**Answer:**
\( \frac{3.744 \times 10^{9}}{2.4 \times 10^{5}} = 1.56 \times 10^{4} \)
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Simplify this solution Extra Insights
To solve \( \frac{3.744 \times 10^{9}}{2.4 \times 10^{5}} \), we can first divide the coefficients and then divide the powers of ten separately. 1. Coefficients: \[ \frac{3.744}{2.4} = 1.56 \] 2. Powers of ten: \[ \frac{10^{9}}{10^{5}} = 10^{9-5} = 10^{4} \] Now, we combine the results: \[ 1.56 \times 10^{4} \] Thus, the final answer is: \[ 1.56 \times 10^{4} \] In decimal form, this is \( 15600 \).
