11/28/2015jwaid1 the real number system. 11/28/2015jwaid2 the real number system the real number...
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04/18/23 jwaid 1
The Real Number System
04/18/23 jwaid 2
The Real Number System
• The Real Number System is divided into two categories: Rational and Irrational.
• Rational Numbers: Numbers, such as ½ and –3/1 that can be written as a ratio of two integers.
• Irrational Numbers: Real numbers, such as square root of 2 or , that are not rational.
04/18/23 jwaid 3
The Real Number System
• Rational Numbers: Includes integers, whole numbers, natural numbers, and numbers written as the ratio of two integers.
• Integers: {. . . – 3, – 2, – 1, 0, 1, 2, 3, . . .}
• Whole Numbers: {0, 1, 2, 3, . . .}
• Natural Numbers: {1, 2, 3, . . .}
04/18/23 jwaid 4
The Real Number SystemReal Numbers
Rational Numbers Irrational Numbers
3
1/2-2
15%
2/3
1.456
-0.7
0
3 2
5 2
34
04/18/23 jwaid 5
The Real Number SystemReal Numbers
Rational Numbers Irrational Numbers
31/2 -2
15%
2/3
1.456- 0.7
0
3 2
5 2
34
Integers
04/18/23 jwaid 6
The Real Number SystemReal Numbers
Rational Numbers Irrational Numbers
31/2
-2
15%
2/3
1.456- 0.7
0
3 2
5 2
34
Integers
Whole
04/18/23 jwaid 7
The Real Number SystemReal Numbers
Rational Numbers Irrational Numbers
31/2
-2
15%
2/3
1.456- 0.7
0
3 2
5 2
34
Integers
Whole
Natural