Question

The distance from the earth to the sun is `150,000,000,000 m` How is this written in scientific notation?

Answer 1

`1.5*10^11`

Explanation:

start at 1.5 and think how many times you have to multiply by 10 to get that number, it's 11 times, so therefore it's `1.5*10^11` with the power the 10 is raised to denoting the number of times the "1.5" has to be multiplied by 10

you can double check this by taking 150,000,000,000 and dividing it by `10^11` and see if you get 1.5

Answer 2

`1.5 xx10^11`

Explanation:

Scientific notation is a way of writing very big or very small numbers using powers of `10`

It is always in the form `a xx 10^n`
where `1 <= a <10 and n` is an integer.
This means there should only be one digit before the decimal point.

`1color(red)(000) = 10^color(red)(3)`

`8color(red)(000) = 8 xx10^color(red)(3)`

`1color(red)(50,000,000,000) = 1.5 xx 10^color(red)(11)`

Count the number of place holders that the decimal point moves.