About how many times less than 5times10^7 is 4times10^5?

1 Answer
Jan 1, 2017

4xx10^5" is "color(red)(1.25xx10^2)" times less than "5xx10^7

"That is: "color(green)(" (4xx10^5)xxcolor(red)((1.25xx10^2))=5xx10^7)

Explanation:

In the question is the word 'times'. This point to a multiplication.

Let the unknown constant of conversion be k

Then we have:

color(green)(5xx10^7=(4xx10^5)xxk)

k=(5xx10^7)/(4xx10^5)

k=(5xxcancel(10^5)xx10^2)/(4xxcancel(10^5))

k=5/4xx10^2

But 5/4=1 1/4=1.25 giving:

k=1.25xx10^2