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

1 Answer
Jim G.
Feb 19, 2016

# 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 #

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