Question

How do you evaluate `6\cdot 2+ 9\div 3- 6`?

Answer 1

Use the order of operations

Explanation:

If you get hurt in PE call an MD ASap

The first thing to do is Parenthesis and Exponents (PE)
there are no Parenthesis or Exponents so go on the the next step
MD A medical doctor is one person so do M (multiplication) and D (Division) at the same time working from left to right. (Remember a doctor is one person not two)

so

`6 xx 2 = 12`( Multiplication working from left to right M)

`12 + 9/3 = 6`

`9/3 = 3` ( Division working from left to right D)

`12 + 3 -6`

The last step is Addition and Subtraction (AS ap ) Remember As soon as possible is one time not two so do addition and subtraction at the same time working from left to right.

`12 + 3 - 6 = 15-6` ( Addition A)

`15- 6 = 9` (Subtraction S)

Answer 2

`9`

Explanation:

If you have different operation within an expression:

Identify the TERMS first.
Simplify each TERM to a single answer. T
They will be added or subtracted in the LAST step.

`" "color(magenta)(6*2)" " color(blue)(+" "9div3)" "color(limegreen)( -" "6)" "larr` there are `3` terms

`=color(magenta)(12)" " color(blue)(+" "3)" "color(limegreen)( -" "6)`

`12+3-6" "larr` the addition is already at the front.

`=9`