Question

How do you write `24.5 times 10^-5` in scientific notation?

Answer 1

`2.45 xx 10^-4`

Explanation:

A number in scientific notation is written in the form

`a xx 10^n " where 1≤ a < 10 and n is an integer "`

we are also going to make use of `a^m xx a^n = a^(m+n)`

first write 24.5 in scientific notation
require 24.5 to be written as a number between 1 and 10

hence 24.5 = 2.45 , but requires to be multiplied by 10 to retain it's original value.

`24.5 = 2.45 xx 10 = 2.45 xx 10^1`

`rArr 24.5 xx 10^-5 = 2.45 xx 10^1 xx 10^-5 = 2.45 xx 10^-4`