The values 8 * 10^4 is 1000 times larger than 8 * 10^1
Scientific notations are expressions written in the form A * 10^n
Given the following scientifc notations:
A = 8 x 10^4
B = 8 x 10^1
In order to know how many times larger is 8 x 10^4 than 8 x 10^1, we will take the ratio of both values as shown;
Ratio =
[tex]\frac{A}{B} = \frac{8 \times 10^4}{8 \times 10^1}\\ \frac{A}{B} = 1 \times 10^{4-1} \\ \frac{A}{B} = 10^3\\ \frac{A}{B} = 1000[/tex]
This shows that the values 8 * 10^4 are 1000 times larger than 8 * 10^1
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