
Real Number Sets
Presentation
•
Mathematics
•
8th Grade
•
Easy
Standards-aligned
Amy Faust
Used 254+ times
FREE Resource
6 Slides • 6 Questions
1
Natural (Counting) Numbers
Natural numbers are a part of the number system, including all the positive integers from 1 to infinity. Natural numbers are also called counting numbers because they do not include zero or negative numbers. They are a part of real numbers including only the positive integers, but not zero, fractions, decimals, and negative numbers.
Examples - 1,2,3,4,5,6,7,8,9,10......
2
Multiple Choice
Which group only contains natural numbers?
0, -2, 0.5
8, 21 , -3
5, 2, 14
0.1, 32 , 9
3
Whole Numbers
Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are a subset of the whole numbers.
Examples - 0,1,2,3,4,5,6,7,8,9,10....
4
Multiple Choice
Which of the following is NOT a whole number?
0
3
0.4
12
5
Integers
An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.
Positive Integers: An integer is positive if it is greater than zero. Example: 1, 2, 3 . . .
Negative Integers: An integer is negative if it is less than zero. Example: -1, -2, -3 . . .
Zero is defined as neither negative nor positive integer. It is a whole number.
Examples: ... -3,-2,-1,0,1,2,3 ...
6
Multiple Choice
Which of the following is an integer?
21
0.53
-9
-1.6
7
Rational Numbers
A Rational Number can be made by dividing an integer by an integer. (They make a ratio/ fraction)
Rational numbers stop or end
Rational numbers can be made into a fraction
Rational numbers can repeat
Rational numbers are perfect square roots
Examples:
8
Irrational Numbers
Irrational numbers are those real numbers that cannot be represented in the form of a ratio.
Irrational numbers do not stop or end
Irrational numbers cannot be made into fractions
Irrational numbers do not repeat
Irrational numbers are not perfect square roots
Examples:
9
Multiple Choice
Which of the following is Rational?
π
5
0.7196432.....
0.9
10
Multiple Choice
Which of the following is Irrational?
8
4
0.67
π
11
12
Match
Match the following to the BEST (most exact) category that it belongs to
0
5
-4
0.3
π
whole number
natural number
integer
rational
irrational
whole number
natural number
integer
rational
irrational
Natural (Counting) Numbers
Natural numbers are a part of the number system, including all the positive integers from 1 to infinity. Natural numbers are also called counting numbers because they do not include zero or negative numbers. They are a part of real numbers including only the positive integers, but not zero, fractions, decimals, and negative numbers.
Examples - 1,2,3,4,5,6,7,8,9,10......
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