Number Systems

The Number Sense

​Mr. Barnes

Introduction to Real Numbers

• The Real Number System includes many types of numbers that we use every day.

• It’s like a big "family" of numbers, and today, we’ll focus on a few important types.

• Important Types: Natural numbers, Whole numbers, Integers, and Rational numbers

​Get the Picture ?

Open Ended

What are some real world examples when you use Natural Numbers ? (Counting numbers)

Multiple Choice

What is the key difference between Natural numbers and whole numbers ????????

• Natural numbers include Zero while whole numbers do not

• Whole numbers are negative.

• Whole numbers include zero while natural numbers do not

Multiple Choice

Integers are used daily by which of the following Careers

• Weatherman

• English Teachers

• Lawyers

What are Rational Numbers?

• Definition: Rational numbers are numbers that can be written as a fraction , decimal, or percent

• Examples:

  • ½ .50 50%

  • ¾ .75 75%

Multiple Choice

Rational numbers are numbers that can be represented by ?

• Percents

• Decimals

• Fractions

• All of the Above

Putting it all together

• Natural Numbers: Counting numbers starting from 1 (1, 2, 3, 4...).

• Whole Numbers: Natural numbers plus zero (0, 1, 2, 3, 4...).

• Integers: Whole numbers and their negative counterparts (-3, -2, -1, 0, 1, 2, 3...).

• Rational Numbers: Numbers that can be written as fractions or decimals (½, -¾, 0.25, 2).

Multiple Choice

-3 is classified BEST as which type of number

• Integer

• rational

• whole

Multiple Choice

34.5% is best classified in which category of numbers

• rational

• whole

• natural

• integer

Multiple Choice

-3/4 is best classified in which category of numbers

• integer

• rational

• whole

• natural