Question

What is the quotient of 1.728 x 109 and 4.8 x 106 expressed in scientific
notation?

Answer 1

What is the quotient of
`1.728*10^9 and, 4.8*10^6` expressed in scientific notation?

`(1.728*10^9)/(4.8*10^6)` Divide

`(1.728)/(4.8) * (10^9)/(10^6)` Divide numbers and 10's separately.

`0.36*10^3` Subtract exponents.

`(3.6*10^-^1 )*10^3` Rewrite as a number bigger than 1

`3.6*(10^-^1*10^3)` Associate

The answer is

`3.6*10^2` Add exponents

Answer 2

3.7018867924 ×
`10^(-1)`

Explanation:

First you want to find what these two numbers are, then you divide, then you put that answer in scientific notation.

1.728(109) = 188.352

4.8(106) = 508.80

Now we divide :

188.352 ÷ 508.80 = 0.37018867924

That's a crazy decimal, but luckily because of scientific notation we can make it look a lot simpler.

0.37018867924 = 3.7018867924 ×
`10^(-1)`

This should be right. Please comment if you are confused and want more detail.