Question
(b) \( 33.282 \times 10^{-3}=\square \) (Type an integer or a decimal.)
Ask by Delgado Sullivan. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(0.033282\)
Solution
Calculate or simplify the expression \( 33.282 \times 10^{-3} \).
Calculate the value by following steps:
- step0: Calculate:
\(33.282\times 10^{-3}\)
- step1: Convert the expressions:
\(\frac{16641}{500}\times 10^{-3}\)
- step2: Multiply the numbers:
\(\frac{16641}{500000}\)
The result of \(33.282 \times 10^{-3}\) is \(0.033282\).
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Simplify this solution Bonus Knowledge
Did you know that scientific notation is a super handy way to deal with really large or tiny numbers? For instance, \( 33.282 \times 10^{-3} \) translates to 0.033282 when we shift the decimal point three places to the left. It's like a magical time-traveling decimal! If you ever find yourself confused when multiplying or dividing with scientific notation, a common mistake is forgetting to adjust the exponent correctly. Always remember, moving the decimal to the right increases the exponent, while moving it to the left decreases it. Keep this in mind, and you'll be a scientific notation whiz in no time!
