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ACT Math: Pre-Algebra Drill 5, Problem 2. If a and b are prime numbers, how many factors does ab have?
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SAT Math 4.1 Numbers and Operations 230 Views
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Description:
SAT Math 4.1 Numbers and Operations
Transcript
- 00:02
Put this in your calculator and shmoop it...
- 00:05
When an integer is multiplied by itself four times, the result can be...
- 00:08
I. Positive II. Negative III. Equal to zero
- 00:11
And here are the potential answers...
- 00:16
So what is this question asking?
Full Transcript
- 00:18
In short... it's testing our number sense.
- 00:26
Let's start with a positive number.
- 00:28
The easiest number to choose is 1.
- 00:30
Multiply 1 by itself 4 times... and we get 1.
- 00:33
Now let's try a negative number.
- 00:35
We're going to be insanely creative and pick... negative 1.
- 00:38
Multiply it by itself 4 times and we get...
- 00:42
-1 times -1... that's positive 1. Times -1 is negative 1. Times -1 again is positive 1.
- 00:52
Now we know that both the positive and negative cases will give us a positive answer.
- 00:57
We've only got one number left to try. Multiply by 0.
- 01:01
0 by 0 by 0 by 0... it's just 0
- 01:04
Never going to be anything different.
- 01:06
When we tested these three cases, we saw that
- 01:08
the only possible outcomes were a positive number or 0.
- 01:12
The answer is B. As in, "Boo."
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