Number Properties: Odds Evens Positives & Negatives Flashcards
even +/- even=?
odd +/- odd=?
even +/-odd=?
odd+/- even=?
Addition and subtraction. If the terms are the same then the answer is even.
same=even
even +/- even=even
odd +/- odd=even
different=odd
even +/-odd=odd
odd+/- even=odd
NPSG29
even x even=?
odd x odd=?
even x odd=?
if an even number is present, the product will be even
even x even=even
odd x odd=odd
even x odd=even
NPSG30
what do absolute values signify?
How many units a number is from 0.
eg -5 is 5 units away from 0. +5 is also 5 units away from 0 NPSG31
Is the answer positive or negative:
- 7 x -2 x 3=?
- 42/-7=?
Positive. If you have an even number of negative signs, the answer is positive.
IF you have an odd number of negative signs, the answer is negative.
NPSG32
What are the top 6 integer properties?
even/odd,
positive/negative,
multiple, prime, factor, divisible
How do you recognize Even & Odd problems?
Problem says “Even or odd” “If positive integers x and y are both odd which of the following must be even?”
How do you recognize Positive & Negative problems
“negative” or “positive” or hidden as inequalities “Is x>0?”
“If x is positive and y is negative, which of the following must be negative?”
What is the GMAT saying “x (^ 3)”?
x is positive
What is the GMAT saying “x>0”?
x is positive
what is the GMAT saying “m is an integer but m/2 is not an integer”
m is odd.
what is GMAT saying “ab>0 and a and b are integers
a and b are either both positive integers or both negative integers
what is the GMAT saying “ b is equal to 2k+1 where k is an integer”
b is odd
what is GMAT saying “x and y are integers and x/y>1”
tells us x and y are both positive or both negative
what is the GMAT saying “m is a prime number greater than 2”
m is odd
what is the GMAT saying “3s-2t is even, where s and t are integers”
s is even and t is unable to determine because an even-even equals an even.
