Question

1. According to the Motley Fool, in 2014 there were 148.6 million personal federal tax return filed, and average amount of tax paid per filed was $9,118. Write each of these numbers in scientific notation.

Answer 1

`1.486*10^8`

`9.118*10^3`

Explanation:

By definition, the form of Scientific notation is:

`a*10^n`

Where the base is 10, "a" is any number from 1 to 10 but not including 10, and "n" is an integer.

Therefore to write a number in Scientific notation, the decimal point must be after the first digit and the power "n" must indicate how many places the decimal point is moved.

We know that:

`148.6\ million=148,600,000\ millions`

Then, we need to move the decimal point 8 places to the left:

`=1.486*10^8`

To write $9,118 in scientific notation, we need to move the decimal point 3 places to the left:

`=9.118*10^3`