Question

How do you simplify `-10/5times2+8times(6-4)-3times4` using PEMDAS?

Answer 1

`-10/5xx2+8xx(6-4)-3xx4=0`

Explanation:

PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. Hence we solve in this order - first parentheses, then exponents, then multiplication and division and finally addition and subtraction.

Hence `-10/5xx2+8xx(6-4)-3xx4`

= `-10/5xx2+8xx2-3xx4`

= `-20/5+16-12`

= `-4+16-12`

= `0`

Answer 2

`=0`

Explanation:

When working with calculations involving different operations, the first thing to do is to to count the number of terms. Terms are separated by + and - signs.

There must be a final answer fro each term before we can add or subtract them from left to right.

`color(magenta)(-10/5 xx 2) color(blue)(+8 xx (6-4)) color(orange)(-3xx4)` has three terms.

In each term do the strongest operations first (brackets first and , powers before multiply or divide)

`color(magenta)(-2 xx 2) color(blue)(+8 xx (2)) color(orange)(-12)`

`color(magenta)(-4) color(blue)(+16) color(orange)(-12)`

Now work from left to right, or re-arrange the terms making sure that the signs stay with the correct term.

=`color(blue)(+16) color(magenta)(-4) color(orange)(-12)`

=`0`