How do you simplify 9 - 3(2 + 6) ÷ 6 - 2 times 5 using PEMDAS?

1 Answer

3.75

Explanation:

Step 1:
The equation can be split into two parts:
i) 9-3(2+6)
and
ii) 6-2xx 5

PEMDAS tells us multiply first then add then subtract

Step 2 :
Equation 1 becomes:
We will leave the 9 out
-3xx (2+6) (Note the negative sign in front of the 3)

This equals -6 + -18 which is -24

Next we bring the 9 back to get 9-24 which is -15

Step 3:
Equation 2 becomes:

This time we leave the 6 out:
We are left with -2xx5 (Note the 2 is negative)
This gets us -10

Bring back the 6 to get us 6-10 which is -4

Step 4:
Bring back the divide making the equation:
(-15)/-4 which is 3.75 (The negatives cancel each other out)