Question

How do you write the number in scientific notation: 322,000,000?

Answer 1

`322,000,000 = 3.22 xx 10^8`

Explanation:

Scientific notation is a way of writing very big or very small numbers, quickly, easily and accurately, without writing all the zeros as place holders.

It uses a number with only one digit before the decimal point, followed by a power of 10 to indicate the size of the number.

`322,000,000 = 3.22 xx 10^8`

Note that in `322,000,000.` the decimal point is on the right.
`color(white)(....................................)uarr`

Note that in `3.22 xx10^8` the decimal point is after the first digit.
`color(white)(........x......)uarr`

Count how many places the decimal point has been moved to the left:

`3color(red)(22,000,000.) = 3.22 xx 10^color(red)(8)`