Question

How do you simplify `2-3[-4+6]÷ (-2)`?

Answer 1

`2-3[-4+6]-:(-2)=5`

Explanation:

Simplify:

`2-3[-4+6]-:(-2)`

Follow the order of operations:

Parentheses/brackets
Exponents/radicals
Multiplication and Division in order from left to right.
Addition and Subtraction in order from left to right.

Simplify `-4+6` to `2`.

`2-3xx2-:(-2)`

Simplify `3xx2` to `6`.

`2-6-:(-2)`

Simplify `6-:(-2)` to `-3`.

`2-(-3)`

Simplify `2-(-3)` to `2+3`.

`2+3=5`

Answer 2

You use PEMDAS. The answer is `5`.

Explanation:

`2 - 3[-4 + 6] -: (-2)`

To simplify this, we have to do it in the correct order of expressions, or PEMDAS, shown here:

As you can see, the first thing we do is simplify everything inside the parenthesis/brackets.

`[-4 + 6] = 2`, so the expression is now `2 - 3[2] -: -2`

There are no exponents, so now let's do multiplication/division. They are interchangeable, meaning it doesn't matter which we do first. So we know that `-3[2] = -6` , then `-6 -: -2 = 3`

So now the expression is:
`2 + 3`

Finally, we add and get `5`.

Hope this helps!