Question

How do you simplify `3(4.3times10^-4)` in scientific notation?

Answer 1

`3(4.3xx10^(-4))=1.29xx10^(-3)`

Explanation:

In scientific notation, you cannot have more than one digit to the left of decimal of the number (or less than one, in case you have a similar division problem), which multiplies with a power of `10`. Hence you modify the power of `10` accordingly, as shown below.

Here we have `3(4.3xx10^(-4))`

= `3xx4.3xx10^(-4)`

= `12.9xx10^(-4)`

= `1.29xx10xx10^(-4)`

= `1.29xx10^(-3)`