Multiply. Write your answer in scientific notation.
45 · (2 × 10⁻²)
Submit
Multiply. Write your answer in scientific notation. 45 · (2 × 10⁻²) Submit
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Multiply. Write your answer in scientific notation.
45 · (2 × 10⁻²)
Submit
To solve the multiplication ( 45 times (2 times 10^{-2}) ), follow these steps:
1. Multiply the whole numbers:
( 45 times 2 = 90 ).
2. Keep the power of ten:
We still have ( 10^{-2} ).
3. Combine the results:
This gives us ( 90 times 10^{-2} ).
4. Convert to scientific notation:
To express ( 90 ) in scientific notation, write it as ( 9.0 times 10^1 ). So,
( 90 times 10^{-2} ) can be rewritten as ( 9.0 times 10^1 times 10^{-2} ).
5. Combine the powers of ten:
( 10^1 times 10^{-2} = 10^{1-2} = 10^{-1} ).
6. Final answer in scientific notation:
Combine ( 9.0 ) and ( 10^{-1} ):
[
9.0 times 10^{-1}
]
So, the answer is ( 9.0 times 10^{-1} ).