Lesson – Real NumbersMGSE8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

I can…… Classify real numbers explain the difference between a

rational and an irrational number.

Key Vocabulary WordsO Real NumbersO Irrational NumbersO Rational NumbersO IntegersO Whole numbersO Natural/Counting

Numbers

What am I?O In your groups determine what is the

MOST SPECIFIC subset for the numbers in the envelope.

O Use your vocabulary words to help you classify them.

Rational numbers can be expressed as a fraction, terminating decimal,or repeating decimal. (Perfect squares)

IntegersNegative or

positive whole numbersand zero

Whole NumbersCounting numbers

including zero

Natural NumbersCounting numbers

Can’t be written as a ratio or fraction.Not a perfect squareNon-terminating decimalsNon-repeating decimals Example: π, 5.1236734…,

© 2014 A. Bovio

Imaginary Numbers-Negative inside the square root Example: Dividing by zero or zero in the denominator Example: 5/0 5 ÷ 0