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Math 221 Section 1.1. Yvette Gonzalez-Smith Ashford University. Classification of numbers. There are a few classifications of numbers. They include Natural Numbers Whole Numbers Rational Numbers Irrational Numbers Real Numbers. Natural and Whole Numbers.

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math 221 section 1 1

Math 221 Section 1.1

Yvette Gonzalez-Smith

Ashford University

classification of numbers
Classification of numbers

There are a few classifications of numbers. They include

  • Natural Numbers
  • Whole Numbers
  • Rational Numbers
  • Irrational Numbers
  • Real Numbers
natural and whole numbers
Natural and Whole Numbers
  • Natural numbers are counting numbers that do not include zero. Example 1, 2, 3 . . .
  • Whole Numbers are natural numbers including zero
rational numbers
Rational Numbers
  • Numbers that can be written as a fraction where top number on the fraction can be zero but the bottom number on the fraction can not be zero.

Examples:

Example of what a rational number cannot be

irrational numbers
Irrational Numbers

Irrational Numbers are what rational numbers are not. This includes decimals that repeat forever.

Examples

real numbers
Real Numbers
  • Real numbers are numbers that have a place on the number line.

Examples

number lines
Number Lines

How to draw a number line:

  • Draw a horizontal line
  • Draw vertical lines that are evenly spaced
  • Add numbers with zero in the center

-3

-2

-1

0

1

2

3

absolute value
Absolute Value

Absolute Value is the how far a number is from zero

Both 3 and -3 are 3 spaces from zero so absolute value is 3 so |-3| =3 and |3|=3

-3

-2

-1

0

1

2

3

interval notation
Interval Notation

(Dugopolski 2012)

interval notation1
Interval Notation

(2,10) means every number between 2 and 10

[-3, 5] means every number between -3 and 5 including -3 and 5

[-5, 7) means every number greater than and equal to -5 and every number less than 7

(2, 13] means every number greater than 2 and less than and equal to 13

opposite of an opposite
Opposite of an opposite

The opposite of -4 is 4 and the opposite of 4 is -4

-(-4) = 4

-(4) = 4

works cited
Works Cited

Dugopolski, M (2012) Elementary and Intermediate Algebra. New York, NY: Mc-Graw Hill