Question

How do you simplify `-8+14`?

Answer 1

`6`

Explanation:

`color(red)(-8)` is 8 units to the left of 0 on the number line

From `color(red)(-8) " count on 14 units to the right "`

You should arrive at +6

That is `-8+14=6`

Answer 2

Another approach

`-8+14=6`

Explanation:

Splitting (partitioning) `color(red)(14)` into `" "color(red)(8+6)`

Write `color(green)(-8color(red)(+14))` as `" "color(green)(-8color(red)(+8+6))`

But `-8+8=0` giving

`0+6`

So `-8+14=6`