
Real Number System Review
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Medium
Standards-aligned
Mrs. Hawley
Used 19+ times
FREE Resource
2 Slides • 10 Questions
1
Natural
Positive
counting
numbers
Whole
Zero and
positive
counting
numbers
Integer
Negative
AND
positive
counting
numbers
AND
Zero
Rational
Can be Fractions
●Mixed
numbers
●Percents
●Decimals
that stop
●Decimals
that repeat
Irrational
Can’t be a fraction
●Decimals
that
continue
forever
without a
pattern
Real
All the rational
and irrational
numbers
2
●Real Numbers: all rational and irrational numbers
●Rational Numbers: can be a fraction
●Irrational
Numbers:
can NOT be
a fraction
●Integers: positive & negative counting
numbers and zero
●Whole Numbers: zero and
positive counting numbers
●Natural Numbers: only
positive counting numbers
3
Match
Match the following definitions of real numbers.
Natural Numbers
Whole Numbers
Integers
Rational Numbers
Irrational Numbers
positive counting numbers
zero and positive counting numbers
positive and negative counting numbers and zero
numbers that could be written like a fraction
numbers that are never an exact fraction, they never terminate and have no pattern
positive counting numbers
zero and positive counting numbers
positive and negative counting numbers and zero
numbers that could be written like a fraction
numbers that are never an exact fraction, they never terminate and have no pattern
4
Drag and Drop
5
Drag and Drop
The set of numbers {...-2, -1, 0, 1, 2} is known as
The set of numbers that can not be a fraction is known as
The set of numbers {1, 2, 3...} is known as
The set of numbers that can be a fraction is known as
6
Dropdown
Decimals that never repeat are considered
7
Multiple Choice
Which is the best subset for 45 ?
integer
irrational
whole
rational
8
Multiple Select
Which are the best subsets for −12 ?
whole
integer
rational
real
natural
9
Multiple Choice
Which statement is false?
Natural numbers are integers.
Integers are whole numbers.
Rational numbers are real numbers.
Irrational numbers are real numbers.
10
Labelling
Place each subset in the appropriate box on the diagram.
11
Multiple Choice
Which is NOT an integer?
210
144
−6.5
− 81
12
Multiple Select
Which numbers are irrational?
17
56
400
π
40
Natural
Positive
counting
numbers
Whole
Zero and
positive
counting
numbers
Integer
Negative
AND
positive
counting
numbers
AND
Zero
Rational
Can be Fractions
●Mixed
numbers
●Percents
●Decimals
that stop
●Decimals
that repeat
Irrational
Can’t be a fraction
●Decimals
that
continue
forever
without a
pattern
Real
All the rational
and irrational
numbers
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