Question

How do you evaluate `4(8-(4*2))+1`?

Answer 1

`4(8-(4xx2))+1 = 1`

Explanation:

In a calculation with different operations, they have to be done in a specific order, given by the acronym BODMAS, PEDMAS, or similar.

There are 2 terms. Each term must be simplified to a single answer which are added in the last step.

`color(green)(4(8-(4xx2)))color(blue)(+1)`

Within each term, brackets must be done first, then the powers and roots, and then multiplication and division.

`color(green)(4(8-(4xx2)))color(blue)(+1)`

There are 2 sets of brackets - start with the inner one.

`4(8-color(red)((4xx2))color(blue)(+1)`
`color(white)(.............)darr`
`=4(color(red)(8-8))color(blue)(+1)`
`color(white)(......l..)darr`
`=color(red)(4xx0)color(blue)(+1)`
`color(white)(.......)darr`
`=" "color(red)(0)color(blue)(+1)`

`=1`

Notice that there is nothing to be done with the last term `(+1)`.
It is just carried down with each line until the last step where it is added.