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  • 01-02-2019
  • Mathematics
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How many times larger is 9 × 10^8 than 3 × 10^-5?
A. 3 × 10^13
B. 3 × 10^-40
C. 3 × 10^-13
D. 3 × 10^3

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  • 01-02-2019

Answer:

A. 3 × 10¹³

Step-by-step explanation:

We have the numbers, 9 × 10⁸ than 3 × 10⁻⁵.

To find the factor by which 9 × 10⁸ is greater by 3 × 10⁻⁵ is given by,

[tex]\frac{9\times 10^{8}}{3\times 10^{-5}}[/tex]

i.e. [tex]\frac{3\times 10^{8+5}}[/tex]

i.e. [tex]\frac{3\times 10^{13}}[/tex]

So, 9 × 10⁸ is 3 × 10¹³ times greater than 3 × 10⁻⁵.

i.e. 3 × 10⁻⁵ × 3 × 10¹³ = 3 × 3 × 10⁻⁵⁺¹³ = 9 × 10⁸.

Hence, option A is correct.

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