Cox Mcguire
11/02/2023 · High School
Convert the given number to standard notation. \( 9.025 \times 10^{8} \)
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Tutor-Verified Answer
Step-by-step Solution
To convert the number \( 9.025 \times 10^{8} \) to standard notation, you need to move the decimal point 8 places to the right because the exponent is positive.
Starting with \( 9.025 \):
1. Move the decimal point 8 places to the right:
- Moving it 1 place gives \( 90.25 \)
- Moving it 2 places gives \( 902.5 \)
- Moving it 3 places gives \( 9025 \)
- Moving it 4 places gives \( 90250 \)
- Moving it 5 places gives \( 902500 \)
- Moving it 6 places gives \( 9025000 \)
- Moving it 7 places gives \( 90250000 \)
- Moving it 8 places gives \( 902500000 \)
So, \( 9.025 \times 10^{8} \) in standard notation is:
\[
902500000
\]
Quick Answer
\( 9.025 \times 10^{8} = 902500000 \)
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