Question

761.8 x 10^-8 Express the number in scientific notation. A) 7.618 x 10^-6 B) 7.618 x 10^-8 C) 7.618 x 10^2 D) 7.618 x 10^6

Answer 1

a

Explanation:

Answer 2

`\huge\boxed{A)\ 7.618*10^(-6)}`

Explanation:

The scientific notation:

`a\cdot10^n`

where

`1\leq a<10;\ n\in\mathbb{Z}`

We have

`761.8*10^(-8)`

We need to move the decimal point two places to the left.

`\underbrace{(7.618*10^2)}_(=761.8)*10^(-8)=7.618*(10^2*10^(-8))`

use

`a^n\cdot a^m=a^(n+m)`

`=7.618*10^(2+(-8))=7.618*10^(-6)`