Divide. Write your answer in scientific notation.
4 x 10^-4
8 x 10^-5
Divide. Write your answer in scientific notation. 4 x 10^-4 8 x 10^-5
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Divide. Write your answer in scientific notation.
4 x 10^-4
8 x 10^-5
To divide the two numbers in scientific notation, you will divide the coefficients and subtract the exponents.
1. Coefficients: Divide 4 by 8:
[
frac{4}{8} = 0.5
]
2. Exponents: Subtract the exponents:
[
-4 – (-5) = -4 + 5 = 1
]
Now, combine the results:
[
0.5 times 10^1
]
To express 0.5 in scientific notation, rewrite it as:
[
5.0 times 10^{-1}
]
Now combine:
[
5.0 times 10^{-1} times 10^1 = 5.0 times 10^{0}
]
Since (10^0 = 1), the final result is:
[
5.0
]
So, the answer in scientific notation is:
[
5.0 times 10^0
]