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Numbers and Integers


Absolute Value if n is positive, |n| = n if n is negative |n| = -n
The Addition Property of Equality for all rational numbers if a = b then a + c = b + c
The Addition Property of Inequalities for all rational numbers a, b and c if a < b then a + c < b + c if a > b then a + c > b + c similar statements can be made for ≤ and
Additive Inverses two rational numbers whose sum is 0.
Associative Property of Addition a + (b + c) = (a + b) + c
Associative Property of Multiplication a(bc) = (ab)c
The Closure Property of Addition if a and b are real numbers a + b is a real number.
The Closure Property of Multiplication if a and b are real numbers ab is a real number.
Commutative Property of Addition a + b = b + a
Commutative Property of Multiplication ab = ba
Density Property between any two rational numbers, there is another rational number.
Distributive Property of Multiplication Over Addition a(b + c) = ab + ac and (b+c)a = ba + ca
Distributive Property of Multiplication over Subtraction a(b - c) = ab =ac and (b-c)a = ba -ca
Dividing a number by itself when a≠0, a/a =1