Question

How do you write and simplify `(1.5 times 10^6 N)(3.0times10^-8 m)` in scientific notation?

Answer 1

`4.5xx10^(-2)Nm`

Explanation:

`(1.5xx10^6 N)(3.0xx10^-8 m)`

= `(1.5xx3.0)xx(10^6xx10^(-8))Nm`

= `4.5xx10^(6+(-8))Nm`

= `4.5xx10^(-2)Nm`

When a number is written in scientific notation, it is written in the form `axx10^n`, where `1<=a<10`, in other words `a` is just in unit digits and decimals but no tens or higher and `n` is an integer.

As `4.5xx10^(-2)Nm` is already in this form, this is the desired result.