bfletcher191
bfletcher191 bfletcher191
  • 11-03-2020
  • Mathematics
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Which is equivalent to 8/10^−2 ? A) 800 B) 1 80 C) 80 D) 100 8

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joaobezerra joaobezerra
  • 11-03-2020

Answer:

A) 800

Step-by-step explanation:

Base 10 works like this, for example

[tex]8 \times 10^{2} = 80 \times 10^{1} = 800[/tex]

[tex]8 \times 10^{-2} = 0.8 \times 10^{-1} = 0.08[/tex]

So

[tex]10^{-2} = 0.1 \times 10^{-1} = 0.01[/tex]

So

[tex]\frac{8}{10^{-2}} = \frac{8}{0.01} = 800[/tex]

So the correct answer is:

A) 800

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