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ACT Math Videos 161 videos

ACT Math 3.1 Plane Geometry
2559 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

ACT Math 2.2 Pre-Algebra
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ACT Math Pre-Algebra: Drill 2, Problem 2. Solve for y.

ACT Math 2.5 Pre-Algebra
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ACT Math Pre-Algebra Drill 2, Problem 5. Given the chart in the video, what is the mode?

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ACT Math 5.3 Pre-Algebra 435 Views


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Description:

ACT Math: Pre-Algebra Drill 5, Problem 3. Find the remainder.

Language:
English Language

Transcript

00:03

Here's an unshmoopy question you'll find on an exam somewhere in life.

00:07

If n is divisible by both 2 and 5, what is the remainder when n + 2 is divided by 4?

00:14

And here are the potential answers.

00:20

So, this question is asking us about remainders,

00:22

or what's left over when we divide one number by another.

00:26

Something neat we can do with remainders is that, if n is divisible by 2 and 5, we just

00:32

multiply 2 and 5... and we know that n is also divisible by 10.

00:37

Therefore, we know that n could be 10, 20, 30, 40, etc.

00:41

and n + 2 could be 12, 22, 32, 42...

00:46

The question asks us what the remainder is when n + 2 is divided by 4

00:52

so if we just test the possible n + 2 numbers

00:56

then 12 divided by 4 gives us 3 with a remainder of 0.

01:00

22 divided by 4 gives us 5 with a remainder of 2.

01:04

32 divided by 4 gives us 8 with a remainder of 0.

01:08

42 divided by 4 gives us 10 with a remainder of 2.

01:12

Looks like the remainder when n + 2 is divided by 4 is either 0 or 2.

01:19

Our answer is E.

01:21

As in, Egg salad sandwich.

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