Question
(a) \( 33.282 \times 10^{3}=\square \) (Type an integer or a decimal.)
Ask by Pearson Smith. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
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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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.