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### 19 Cards in this Set

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 Numbers that can be expressed in the form p/q, where p and q are integers and p≠0. Decimal notation for rational numbers either TERMINATES or REPEATS. rational numbers 0 -7 1/4 = .25 -5/11 = -.454545...(repeats) Real numbers that are not rational. Decimal notation neither treminates nor repeats. irrational numbers π Positive and negative whole numbers, including zero. integer 0, 1, -12 Whole numbers that are not negative, including zero. whole numbers 0, 1, 2, 3... Posivive whole numbers. natural numbers 1, 2, 3... a + b = b + a and ab = ba commutative properties of addition and multiplication to move... a + (b + c) = (a + b) + c and a(bc) = (ab)c associate properties of addition and multiplication an informal visit... a + 0 = 0 + a = a additive identity property -a + a = a + -a =0 additive inverse property a * 1 = 1 * a = a multiplicative identity property if a≠0, then: a * 1/a = 1/a * a = 1 multiplicative inverse property a(b + c) = ab + ac or a(b - c) = ab - ac distributive property On a number line, the distance a number is from zero. absolute value a = |a| -5 = |5| 1/3 = |1/3| The number of times a factor appears in a product. exponent 7 * 7 * 7 = 7³ bª * bª = bª+ª or a to the power of m times a to the power of n = a to the power of m+n product rule if a≠0, then a to the power of m ÷ by a to the power of n = a to the power of m-n quotient rule a to the power of m * the power of n = a to the power of m*n power rule (a * b) to the power of m = (a to the power of m) * (b to the power of m) raising a product to a power if b≠0, then (a/b) to the power of m = (a to the power of m) ÷ (b to the power of m) raising a quotient to a power