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By ann gregson
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sat prep day one
real numbers, fractions & decimals Prime Numbers A prime number is a positive integer greater than 1, whose only positive factors are itself and 1 Prime numbers are 2, 5, 7, 11, 13, ... 1 is not a prime number 2 is the only even prime number Properties of Zero 0 is the only number that is neither positive or negative 0 is an even number If ab = 0, then a = 0 or b = 0 (or both equal zero) Even/Odd even + even = even odd + odd = even odd + even = odd (even)(even) = even (odd)(odd) = odd (even)(odd) = even Sets of Numbers Real Numbers Rational Numbers: anything that can be written as a fraction Irrational Numbers: anything that can not be written as a fraction Integers: ... -3, -2, -1, 0, 1, 2, 3, ... Whole Numbers: 0, 1, 2, 3, ... Natural Numbers: 1, 2, 3, ... Fractions & Decimals Must-Knows Mixed Number --> Improper Fraction Improper Fraction --> Mixed Number Reducing Fractions Adding & Subtracting Fractions Must have same denominator. Add/Subtract the numerators. Denominators stay the same. Reduce Multiplying Fractions Do NOT have to have same denominators! Multiply the numerators. Multiply the denominators. Reduce. Dividing Fractions Do NOT have to have same denominators! COPY DOT FLOP! (copy first fraction, multiply, flip second fraction) Then, MULTIPLY! Put in order for each restriction: x^3, x^2, x: x < -1 -1 < x < 0 0 < x < 1 x > 1
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