Barnett Pollard
01/18/2023 · Junior High School
How is this number expressed in decimal notation? \[ 2 \times 10^{-5} \]
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Tutor-Verified Answer
Step-by-step Solution
To express the number \( 2 \times 10^{-5} \) in decimal notation, we need to understand what \( 10^{-5} \) means. The notation \( 10^{-5} \) indicates that we are dealing with a very small number, specifically \( \frac{1}{10^5} \).
Calculating \( 10^5 \):
\[
10^5 = 100000
\]
Thus, \( 10^{-5} \) is:
\[
10^{-5} = \frac{1}{100000} = 0.00001
\]
Now, we multiply this by 2:
\[
2 \times 10^{-5} = 2 \times 0.00001
\]
Performing the multiplication:
\[
2 \times 0.00001 = 0.00002
\]
Therefore, the number \( 2 \times 10^{-5} \) expressed in decimal notation is:
\[
\boxed{0.00002}
\]
Quick Answer
The number \( 2 \times 10^{-5} \) in decimal notation is 0.00002.
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