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