Cartoon by Dr. Wieslaw Krawcewicz, a math professor at the
©Wieslaw Krawcewicz. Reprinted with permission.
The good people at ETS have provided a free (that's right, completely free) 80-page math review book on ETS.org. Don't you just love when people give you free stuff?
Here's
the deal: the quantitative problems are going to require us to know our
arithmetic and algebra. (So will the other types of problems, but we're
focusing on quantitative problems right now.) So I thought we'd start
out by talking about integers. I've heard it pronounced in-tej-ers and
in-teg-ers, but no matter what it is, it's definitely it's definitely a
number - and not the kind with decimal places or fractions. Just
numbers.
With a few rules, where I=integer.
1. I(0) = 0
2. I ÷ 0 = Not defined
3. If you divide one I by another, and one of the two Is is negative, your answer will be negative. I.e. -I ÷ I = -x or I ÷ -I = -x. Oh, and the same happens to be true of multiplication. So -I(I) = -x
4. If you multiply two Is, and they are both negative, your answer will be positive. And the same is true for division. So -I(-I) = x and -I ÷ -I = x.
5. When dividing one I by another, your answer won't have a remainder.
6. Multiplying two Is gives you a third
7. A prime I is only prime if it has two positive divisors. 1 is not prime because its only positive divisor is 1.
I
know this sounds really simple, and you're thinking, "Yeah, we did this
in third grade," but here's the situation. You are going to see this
word, integer, and this other word, prime, on the GRE. I
guarantee it. It's going to sneak up on you in the moment when you
least expect it and you're not at all prepared and you've completely
forgotten what the heck is an integer. And that's worse than the
nightmare where you're taking your GRE naked !
Other
arithmetic things you ought to know include fractions and decimals. You
might want to be familiar with those little numbers at the top of
another number (also known as an exponent) and the rules of those, and
those square roots too. Also, ETS recommends knowing number lines,
absolute numbers (which, for those of you who remember the over-used
campaign, is not an alcoholic drink), percents and ratios.
I
suppose to learn these numbers there's no better way than posting Qs
and As about some of these concepts. Who wants to be the first?
