Question
Multiply. Write your answer in \[ 2 \cdot\left(2.6 \times 10^{3}\right) \]
Ask by French Watson. in the United States
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is \( 5.2 \times 10^{3} \).
Solution
1. Write the product as
\[
2 \cdot \left(2.6 \times 10^{3}\right) = \left(2 \cdot 2.6\right) \times 10^{3}.
\]
2. Multiply the numbers:
\[
2 \cdot 2.6 = 5.2.
\]
3. Substitute back into the expression:
\[
5.2 \times 10^{3}.
\]
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Simplify this solution Extra Insights
When you multiply \( 2 \cdot (2.6 \times 10^{3}) \), you're essentially scaling the scientific notation by 2. First, multiply 2 by 2.6, which gives you 5.2. The exponent of 10 remains the same, so your result is \( 5.2 \times 10^{3} \). So, the final answer is: \[ 5.2 \times 10^{3} \]
