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#