Question
Rewrite this number in appropriate scientific notation: 0.0338 answer \( =\square \)
Ask by Cook Huff. in the United States
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 0.0338 \) in scientific notation is \( 3.38 \times 10^{-2} \).
Solution
1. Write the number in the form \( a \times 10^b \) where \( 1 \leq a < 10 \).
2. For \( 0.0338 \), move the decimal point two places to the right to obtain \( 3.38 \).
3. Since the decimal was moved two places, the exponent is \(-2\).
Thus, the scientific notation is
\[
3.38 \times 10^{-2}
\]
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Simplify this solution Extra Insights
To express 0.0338 in scientific notation, we need to move the decimal point two places to the right, which gives us \(3.38\). Since we moved the decimal point two positions, we multiply by \(10^{-2}\). Therefore, the number in scientific notation is \(3.38 \times 10^{-2}\). Answer \( = 3.38 \times 10^{-2} \)
