Odd and Even Numbers
Odd and Even Numbers
Even numbers are numbers that are divisible by 2 with no remainder. Remember that zero is included within this definition.
Even Numbers: . . . , –6, –4, –2, 0, 2, 4, 6, . . .
Odd numbers are numbers that, when divided by 2, leave a remainder of 1.
Odd Numbers: . . . , –5, –3, –1, 1, 3, 5, . . .
Operations and Odd and Even Numbers
For the SAT, you have to know how odd and even numbers act when they’re added, subtracted, multiplied, and divided. The chart below shows addition, subtraction, and multiplication because multiplication and division are the same in terms of odd and even.
Addition Subtraction Multiplication
Even + Even = Even Even – Even = Even Even × Even = Even
Odd + Odd = Even Odd – Odd = Even Odd × Odd = Odd
Even + Odd = Odd Even – Odd = Odd Even × Odd = Even
If you know how odd and even numbers act when put through any of the four operations, you have a leg up in using the process of elimination. If the numbers in the answer choices are both odd and even, you should be able to use the rules of odd and even numbers to figure out if the answer you’re looking for is odd or even. So even if you don’t know the exact value of the answer you’re looking for, you should be able to eliminate half of the answers based on whether they’re odd or even.
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