Question

Evaluate the following. Write down the question and all steps of your solution.

16x4+3(2 ³ x5)

Answer 1

\[\large\rm 16\times4+3\left(2^3\times5\right)\]Remember your PEMDAS or something similar?
It tells us how to prioritize these operations.
P = Parentheses.
That takes the highest priority.
So we have to start here: \(\large\rm 2^3\times5\)
Now that we're in this room, within the brackets...
What do we prioritize first, Exponent, or Multiplication?

Answer 2

I don't think i've ever heard of PEMDAS however since the second letter is E i would assume exponent?

Answer 3

Good. So apply the exponent BEFORE doing multiplication.
\(\large\rm 2^3=2\cdot2\cdot2=8\)
So within the brackets we have \(\large\rm 8\times5\)

Answer 4

\[\large\rm 16\times4+3\left(2^3\times5\right)\]\[\large\rm 16\times4+3\left(8\times5\right)\]\[\large\rm 16\times4+3\left(40\right)\]Now that we've done everything in the brackets, we can drop the brackets and just treat it as multiplication.\[\large\rm 16\times4+3\times40\]So what next? Addition or multiplication? :)

Answer 5

multiplication first

Answer 6

k good :d
do the multiplication for both of those groups, what do you get?

Answer 7

64 + 120

Answer 8

cool \c:/ looks correct!

Answer 9

Raphael, hmmmm
wasn't that one of the Ninja Turtles? ;O

Answer 10

Cool thank you! i really need to remember PEMDAS, made it really simple, and yeah haha my parents named me after the saint though :)

Answer 11

oh cool :)

Answer 12

Thanks for your help!

Answer 13

I generally prefer to write it like this:Because you are NOT suppose to prioritize multiplication above division. They are on the same level.
When you have a problem involving multiplication AND division steps, you'll need to deal with them `from left to right`, you don't necessarily do the multiplication first.

Example:\[\large\rm 100\div5\times4\times3\]You would do the \(\large\rm 100\div5\) step FIRST since it is further to the left.