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ACT Mathematics Videos 164 videos
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
ACT Math: Pre-Algebra Drill 1.2. What proportion of Jenna's day is spent Wii-swimming?
ACT Math 5.3 Pre-Algebra 435 Views
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Description:
ACT Math: Pre-Algebra Drill 5, Problem 3. Find the remainder.
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.
Full Transcript
- 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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