Question

What is 965,000,000,000,000 in scientific notation?

Answer 1

`965,000,000,000,000 = 9.65 xx 10^14`

Explanation:

Thank goodness for scientific notation!

Imagine having to work with numbers like this without a short and easy way to write these very big or very small numbers!
'Scientific notation uses the powers of 10.

`10 = 1xx10`
`100 xx 1 xx10^2`

`1,000,000 = 1 xx10^6`

`200,000,000 = 2 xx 10^8 and 250,000,000 = 2.5 xx10^8`

Decide which power of 10 we are working with first by counting the number of place holders AFTER the first digit.

In `9color(red)(65,000,000,000,000)` there are `color(red)(14)` place holders, which means we have multiplied by 10, fourteen times.

`100,000,000,000,000 = 1xx10^14` We have 9.65 times as many:

Notice that there is always just ONE digit before the decimal point.

`965,000,000,000,000 = 9.65 xx 10^14`