Unit 1-Number Sets Aa-1.1 Define and identify integers, rational, irrational, natural, whole and real numbers.

1-1 Properties of Real Numbers Real Numbers – are all Rational and Irrational Numbers. There are 5 subsets of real numbers Natural Numbers – are the numbers used for counting. 1,2,3,4,……………. Whole Numbers – are the natural numbers and 0. 0,1,2,3,4,………

Subsets of Real Numbers Integers – are the natural numbers, also called the positive integers, and their opposites, also called the negative integers and zero. …-3,-2,-1,0,1,2,3,4,…….

Subsets of Real Numbers Rational Numbers- ⅞,¼,0.5,1.2 Can be written as a fraction a / b where both a and b are integers and b is not 0. Rational numbers can also be written as either terminating or recurring decimal fractions. Recurring decimal is a fraction which repeats itself forever. Terminating decimal is a fraction ends after a definite number of digits.

Subsets of Real Numbers Irrational Numbers -√2,√3,√⅜,∏, cannot be written in the form of a fraction where the numerator and denominator are both integers, whole numbers. The square root of any prime number is irrational. pi, the ratio between the circumference and diameter of a circle, is irrational. Numbers which can only be written as a never-ending, non-repeating decimal fraction.

Diagram of Subsets of Real Numbers