Question

Simplify the quotient (4.5 x 10^3)/(9 x 10^7 ). Write your answer in scientific notation. Show your work.

Answer 1

The required solution is
`((4.5 * 10^3))/((9 * 10^7))=5* 10^(-5)`

Explanation:

Given : Quotient
`((4.5 * 10^3))/((9 * 10^7))`

To find : Simplify the quotient and write your answer in scientific notation?

Solution :

The given quotient is
`((4.5 * 10^3))/((9 * 10^7))`

We know,
`(x^a)/(x^b)=x^(a-b)`

Now, we solve the quotient

`=((4.5 * 10^(3-7)))/(9)`

`=0.5 * 10^(-4)`

The resultant in the scientific notation is
`=5 * 10^(-5)`

So, The required solution is
`((4.5 * 10^3))/((9 * 10^7))=5* 10^(-5)`

Answer 2

To answer the problem above, divide the numerical portion and the exponential portion of the given numbers. 4.5 divided by 9 is 0.5. Furthermore, 10^3 divided by 10^7 is 10^-4. The answer is

0.5 x 10^-4

This may still be written in a standard form,

5 x 10^-5

Thus, the answer is 5 x 10^-5.