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

1 Answer

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


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


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.