Question

How do you simplify `|2| + |-6| - |3| - |-4|`?

Answer 1

`1`

Explanation:

Since
`color(white)("XXX")abs(2)color(white)("X")=2`
`color(white)("XXX")abs(-6)=6`
`color(white)("XXX")abs(3)color(white)("X")=3`; and
`color(white)("XXX")abs(-4)=4`

`abs(2)+abs(-6)-abs(-3)-abs(-4)`
`color(white)("XXX")=2+6-3-4`
(with evaluation done from left to right:)
`color(white)("XXX")=8-3-4`
`color(white)("XXX")=5-4`
`color(white)("XXX")=1`