Real Number System
Presentation
•
Mathematics
•
7th - 8th Grade
•
Hard
Standards-aligned
Sydnee Jones
Used 91+ times
FREE Resource
5 Slides • 22 Questions
1
Real Number System
by Miss Jones
2
Recall:
The real number system has SIX different ways that we can classify numbers:
- Natural (counting)
- Whole
- Integer
- Rational
- Irrational
- Real
3
Natural
These are (+) whole numbers starting with 1.
Whole
These are (+) whole numbers starting with 0.
Integer
These are all (+) and (-) whole numbers and 0.
Rational
These are numbers that can be turned into a fraction.
Irrational
These are numbers that cannot be turned into a fraction.
Real
All numbers that we work with in this class are real. Any number you can find on a number line.
4
How to tell a rational or irrational decimal apart.
Rational decimals
Terminate (end)
Repeat
Irrational decimals
Non-terminating (... or the line above the number)
Non-repeating
5
Remember!
Before classifying a number, make sure it is simplified all the way!
Reduce, simplify the square roots, etc
0 can be turned into a fraction by putting it over 1.
Any whole number can be turned into a fraction by putting it over 1.
The square root of a number that is NOT a perfect square is IRRATIONAL.
ALL numbers, even IRRATIONAL, are real.
Numbers cannot be IRRATIONAL AND RATIONAL. It's one or the other.
6
Multiple Select
Irrational decimals are _____ and _____.
Repeating
Non-repeating
Terminating
Non-terminating
7
Multiple Select
Rational decimals are _____ and _____.
Repeating
Non-repeating
Terminating
Non-terminating
8
Multiple Select
Select all sets that the number belongs to:
-6
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
9
Multiple Select
Select all sets that the number belongs to:
0.5
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
10
Multiple Select
Select all sets that the number belongs to:
0.4
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
11
Multiple Select
Select all sets that the number belongs to:
0.32482418....
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
12
Multiple Select
Select all sets that the number belongs to:
25
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
13
Multiple Select
Select all sets that the number belongs to:
2
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
14
Multiple Select
Select all sets that the number belongs to:
0
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
15
Multiple Select
Select all sets that the number belongs to:
53
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
16
Multiple Select
Select all sets that the number belongs to:
π
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
17
Multiple Select
Select all sets that the number belongs to: 13
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
18
Multiple Select
Select all sets that the number belongs to: 32
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
19
Multiple Select
Select all sets that the number belongs to: 2−10
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
20
Multiple Select
Select all sets that the number belongs to:
4.00
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
21
Multiple Select
Select all sets that the number belongs to:
−25
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
22
Multiple Select
Select all sets that the number belongs to:
1.12
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
23
Multiple Select
Select all sets that the number belongs to:
∣−10∣
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
24
Multiple Select
Select all sets that the number belongs to: 3
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
25
Multiple Select
Select all sets that the number belongs to: 60
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
26
Multiple Select
Select all sets that the number belongs to:
412
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
27
Multiple Select
Select all sets that the number belongs to:
34
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
Real Number System
by Miss Jones
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