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

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Answer 1 · 2017-01-01T11:16:42

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

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

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:

$k=1.25xx10^2$

About how many times less than 5times10^75times10^7 is 4times10^54times10^5?