Question

Question #ad67c

Answer 1

`(2.3 xx 10^7)(1.4xx10^-2) = 3.2xx10^5`

Explanation:

Start by looking at the exponents or powers of the two decimal numbers to see that this is a large number (tens of millions) multiplied by a relatively small number (hundredths or 1/100).
So the answer will lay somewhere in the thousands.

`(2.3 xx10^7)(1.4 xx10^-2)`

To multiply exponents, we need to add them: `10^7+10^-2=10^5`
but we still must be on the look out for additional powers if the decimal numbers multiply to be above `10.0` - here they do not.

`(2.3 xx10^7)(1.4xx10^-2)=d.d xx10^5`

and we can solve for: `d.d=2.3xx1.4=3.22` rounded to `3.2`

So: `(2.3 xx10^7)(1.4xx10^-2) = 3.2xx10^5`