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

Answer:

$\huge\boxed{A)\ 7.618\times10^{-6}}$

Step-by-step explanation:

The scientific notation:

$a\cdot10^n$

where

$1\leq a$

We have

$761.8\times10^{-8}$

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

$\underbrace{(7.618\times10^2)}_{=761.8}\times10^{-8}=7.618\times(10^2\times10^{-8})$

use

$a^n\cdot a^m=a^{n+m}$

$=7.618\times10^{2+(-8)}=7.618\times10^{-6}$