Question | Answer |
Real Numbers | All numbers that we deal with in Algebra are real numbers. |
Rational Numbers | Rational numbers are any number that can be written as a fraction. It includes positive and negative numbers, and any decimal that either terminates or repeats. (Ex. -2, 3.232323..., 7/8) |
Irrational Numbers | Irrational numbers are decimals that do not terminate and do not repeat. (Ex. pi, 3.1289368342...) |
Integers | Integers include positive numbers, negative numbers, and zero. Integers do not have a fraction or decimal part. (Ex. -4, 0, 2, 5) |
Whole Numbers | Whole Numbers include the positive integers and zero. (Ex. 0, 1, 2, 3...) |
Natural Numbers | Natural Numbers (also known as Counting Numbers) include only the positive integers. (Ex. 1, 2, 3, 4...) |
Identity Property of Addition | Adding zero to any number return the same number. a + 0 = a
The ADDITIVE IDENTITY is 0 |
Identity Property of Multiplication | Multiplying any number by 1 returns the same number. a * 1 = a
The MULTIPLICATIVE IDENTITY is 1 |
Inverse Property of Addition | A number plus its opposite is 0. a + -a = 0 |
Inverse Property of Addition | A number multiplied by its reciprocal is 1. a * (1/a) = 1 |
Commutative Property of Addition | When adding, the order is not important. a + b = b + a |
Commutative Property of Multiplication | When multiplying, the order is not important. ab = ba |
Associative Property of Addition | When adding, the grouping is not important. a + (b + c) = (a + b) + c |
Associative Property of Multiplication | When multiplying, the order is not important. a(bc) = (ab)c |