Use scientific notation to find the product of 7.13 * 10^(-3) and 40. Include all of your calculations in your final answer.

Question

Use scientific notation to find the product of
`7.13 * 10^(-3)` and 40. Include all of your calculations in your final answer.

Answer 1

The result of the multiplication is
`28.52 * 10^(-2)`

Explanation:

In scientific notation, 40 can be represented as:
`4 * 10^1`

Multiplication:

Multiply the coefficients and the powers. So

Coefficients:
`7.13 * 4 = 28.52`

Powers:
`10^(-3) * 10^1 = 10^(-3+1) = 10^(-2)`

Multiplication:
`28.52 * 10^(-2)`