4x10^7 is ? Times as much as 4x10^3
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
4x10^7
Determine how many times it is greater than 4x10^3
Solution:
To easily determine how many times greater the larger number from the smaller number, we simply divide the two numbers. Hence we apply the rules of exponents for dividing similar numbers. The rules of exponent states that when dividing two similar numbers simply subtract their denominator. This can be represented as,
a^n/a^n =a^(n-n)
= 4 x 10^7 / 4 x 10^3
= 4 x 10^(7-3)
= 4 x 10^4
Final answer:
4 x 10^4 or 40000 times greater.