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Numbers raised to positive integer powers Videos 2 videos

ACT Math 1.1 Pre-Algebra
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Pre-Algebra Drill 1, Problem 1. Calculate 23 + 53(7 – 4).

ACT Math 3.1 Pre-Algebra
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ACT Math: Pre-Algebra Drill 3, Problem 1. Calculate (0.3)4.

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ACT Math 1.1 Pre-Algebra 1062 Views


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Description:

Pre-Algebra Drill 1, Problem 1. Calculate 2 3  + 5 3 (7 – 4).

Language:
English Language

Transcript

00:03

Here's your shmoop du jour...

00:05

Calculate 2 cubed plus 5 cubed times the quantity 7 minus 4.

00:10

And here are the potential answers...

00:14

OK, this is a total vanilla PEMDAS question.

00:18

PEMDAS: an awesome math mnemonic for remembering the order of operations.

00:22

See, like this thing.

00:24

Like... Mary's Violet Eyes Made John Stay Up Nights Pining.

00:31

So... this problem tests whether we can actually use the PEMDAS mantra.

00:35

First we deal with the parentheses and get 7 minus 4 is 3...

00:40

Then we take care of the exponents... 2 to the 3rd is 2 times 2 times 2,

00:43

which is 4 times 2, which is 8... which is great.

00:48

And 5 cubed is 5 times 5 times 5, which is 25 times 5, which is 125.

00:55

So now we have a mere multiplication problem -- 8 plus 125 times 3.

01:00

Since 125 times 3 is the "M" part of PEMDAS, we have to do it before doing any addition...

01:07

...and we get 125 times 3, which equals 375.

01:13

Now add 8 to get 383.

01:15

And the answer is... C.

01:15

As in "Chocolate tastes like History."

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