Question

Simplify: `((-24)/(-4))-:2+3*(-5+1)^2`?

Answer 1

51

Explanation:

Using PEDMAS
`(-24/-4)-:2+3(-5+1)^2`

`"P"->(+6)-:2+3(-4)^2`

`"E"->(6)-:2+3(16)`

`"D"->6/2+3(16)" "->" "3+3(16)`

`"M"->3+48`

`"A"->51`

`"S"->" not applicable"`

Answer 2

`(-24)/(-4)-:2+3(-5+1)^2=color(blue)(51)`

Explanation:

`(-24)/(-4)-:2+3(-5+1)^2`

The order of operations is parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right.

Simplify `(-5+1)`.

`(-24)/(-4)-:2+3(-4)^2`

Simplify `(-4)^2`.

`(-24)/(-4)-:2+3xx16`

Simplify `(-24)/(-4)`.

`24/4-:2+3xx16`

Simplify `24/4`.

`6-:2+3xx16`

Simplify `6-:2`.

`3+3xx16`

Simplify `3xx16`.

`3+48`

Simplify `3+48`.

`51`

Answer 3

`51`

Explanation:

To make the order of operations easier, count the number of terms first. Keep the terms separate.

EAch term must simplify to a single answer. The answers will be added or subtracted in the LAST step. You can work in different terms in the same step

Do the strongest operations first - the power and roots.

Then do multiplication and division.

If this order is to be changed, parentheses are used to indicate which must be done before the normal order.

`color(red)((-24)/(-4)-:2)" "color(blue)(+3(-5+1)^2)" has 2 terms"`
`"division addition"`

`color(red)((6-:2)" "color(blue)(+3(-4)^2)`

`color(red)((3)" "color(blue)(+3(16)`

`color(red)((3)" "color(blue)(+48)`

=`51`