How do you calculate (2.16times10^2) / (3times10^-4)?

3 Answers
Jun 15, 2017

It is 720,000.

Explanation:

You can arrange your equation first:

216/0.0003

=(216times10^4)/3

72times10^4

or

720,000

This is your answer

720,000

Jun 15, 2017

divide the digits and then adjust the exponents

Explanation:

2.16/3 = 0.720

0.72 = 7.20 xx 10 ^-1

(10^-1 xx 10^2) / 10^-4 = 10^1/10^-4 = 10^5

the answer is 7.20 xx 10^5

Jun 15, 2017

See a solution process below:

Explanation:

First, rewrite this expression as:

(2.16/3) xx (10^2/10^-4) => 0.72 xx 10^2/10^-4

Now, use this rule of exponents to calculate the 10s terms:

x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))

0.72 xx 10^color(red)(2)/10^color(blue)(-4) => 0.72 xx 10^(color(red)(2)-color(blue)(-4)) => 0.72 xx 10^(color(red)(2)+color(blue)(4)) =>

0.72 xx 10^6

To write this in proper scientific notation we need to move the decimal point 1 place to the right so we must subtract 1 from 10s exponent:

0.72 xx 10^6 => 7.2 xx 10^5