How do you simplify (2.548times10^5)/(2.8times10^-2)?

1 Answer
Feb 28, 2017

Shown with a lot of detail and trying not to use a calculator.

9.1xx10^6

Explanation:

Note that 1/(10^(-2) is the same as 10^2

So now we have:

2.548/2.8xx10^5xx10^2" "=" "2.548/2.8xx10^7

Do not like decimals so lets get rid of them. For the moment disregard the 10^7

color(green)(2.548/2.8color(red)(xx1)" "->" "2.548/2.8color(red)(xx1000/1000)" "=" "2548/2800)

Putting it all together we have:

2548/2800xx10^7

91/100xx10^7

9.1/10xx10^7

9.1xx10^7/10

9.1xx10^6