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

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Answer 1 · 2018-04-14T15:31:27

#3.75#

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)