This document discusses different types of real numbers: 1) Natural numbers are counting numbers starting at 1. 2) Whole numbers include natural numbers and 0. 3) Integers include whole numbers and their opposites. 4) Rational numbers are numbers that can be expressed as a/b where a and b are integers and b is not 0. 5) Irrational numbers are non-terminating, non-repeating decimals like the square root of 2. The document provides examples of numbers and asks the reader to identify them as rational or irrational. It explains that humans created new number sets to advance mathematics.

1. AIM: Real Numbers
Do Now
Basic Skills Quiz #6
1

2. Basic Skills Quiz #6
1.) Divide and write your answer in simplest form.
1
3
2
÷1 3
5
2.) Complete the following decimal operation.
2.88 ÷ 2.4
3.) What is the prime factorization of 24?
4.) Solve the following equation.
x - 7 = 15
5.) Round the following to the nearest whole number.
5283.751
2

3. 3

4. 4

5. Anticipatory Set
Which number was the first number said by a human?
Explain your answer.
5

6. Natural
5
1 0 0.256
16 0.3
2 -9 128
6

7. Natural
5
Whole
0
1 0.256
16 0.3
2 -9 128
7

8. Natural
5
0 Whole
-9 Integers
1 0.256
16 0.3
2 128
8

9. Natural
5
0 0.256
Whole
-9
1
2
Integers
0.3
Rational
16 128
9

10. 5
Natural
16
Irrational
0 Whole
0.3
-9 Integers
0.256
128
1
Rational
2
10

11. Natural Numbers: Counting numbers
starting with 1. {1, 2, 3, 4, .......}
BACK
11

12. Whole Numbers: The natural
numbers and zero
BACK
12

13. Integers: The set of whole
numbers and their opposites
BACK
13

14. a
Rational Numbers: Numbers that can be expressed as
where a and b are integers and b is NOT zero b
1.) Explain whether each of the following are rational numbers.
a.) 3 b.) 0 c.) -5
6
d.) 0.25 e.) 0.3 f.)
0
a
2.) Why can b not equal zero in the fraction, ?
b
BACK
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15. Irrational Numbers: Non-terminating, non-
repeating decimals
Square Root of 2
BACK
15

16. Brainpop
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17. SMART Response Activity
1.) 64 5.) -9
2.) 8 6.) 65
3.) 5
7.) 0.532
6
4.) 0.02342 8.)
For each example, choose:
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18. Real Numbers
Grade: «grade»
Subject: «subject»
Date: «date»
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19. 1 64
A Rational
B Irrational
19

20. 2
8
A Rational
B Irrational
20

21. 3 5
6
A Rational
B Irrational
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22. 4 0.02342
A Rational
B Irrational
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23. 5 -9
A Rational
B Irrational
23

24. 6 65
A Rational
B Irrational
24

25. 7 0.532
A Rational
B Irrational
25

26. 8
A Rational
B Irrational
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27. Before You Leave
Why did humans need to create new number sets as
we advanced? Explain your answer.
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28. Mr. Tjersland's Math 7
Homework: Homework Sheet
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29. Natural
16
5
Irrational
Whole
0
0.3
-9 Integers 128
0.256
1 Rational
2
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