Question

How do you simplify and write `(2.5 times 10^-3) + (4.6 times 10^-3)` in standard notation?

Answer 1

`0.0071`

Explanation:

In this problem the standard term is `color(red)(10^-3)`.

We can factor this term to simplify the problem:

`(2.5 xx color(red)(10^-3)) + (4.6 xx color(red)(10^-3)) -> (2.5 + 4.6) xx color(red)(10^-3) ->`

`7.1 xx color(red)(10^-3)`

Because the exponent for the 10's term is negative we must move the decimal point 3 places to the left to write this in standard notation:

`7.1 xx color(red)(10^-3) -> 0.0071`