Question
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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

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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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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: \[ 5.2 \times 10^{3} \]

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