Question

How do you write `94 times 10^-7` in expanded form?

Answer 1

Move the decimal 7 positions to the left and we get 0.0000094

Explanation:

Let's take a look at where we're starting:

`94xx10^-7`

The `10^-7` is telling us how to move the decimal point (which is currently sitting to the righ tof the 4 in 94). The `-7` tells us that the decimal needs to move to the left (or another way to think of it is that we want a number that is going to be 7 decimal places smaller than the number 94. So let's move the decimal:

0.0000094 - we moved the decimal from the right of the 4 and moved it seven places to the left.

And that's our answer.