Question
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(a) \( 33.282 \times 10^{3}=\square \) (Type an integer or a decimal.)

Ask by Pearson Smith. in the United States
Mar 17,2025

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Answer

\( 33.282 \times 10^{3} = 33282 \)

Solution

1. Write the expression: \[ 33.282 \times 10^3 \] 2. Recognize that \(10^3 = 1000\). Therefore, multiply: \[ 33.282 \times 1000 = 33282 \] 3. Final answer: \[ 33282 \]

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Simplify this solution

The Deep Dive

The expression \( 33.282 \times 10^{3} \) can be simplified by moving the decimal three places to the right, resulting in \( 33282 \). So, the answer is \( 33282 \). When you multiply by \( 10^{3} \), you're essentially scaling up the number. It’s like taking a small pizza (33.282) and multiplying it by 1,000, turning it into a giant pizza! Just remember to adjust the decimal place correctly when you're working with scientific notation.

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