SUBSETS-OF-REAL-NUMBERS

1. Good
Afternoon !!

2. WORD
PUZZLE

3. Word
Puzzle
P L I N T E G E R S I L
H O A D E M F L F Z R V
E B S R R N T Z S M R A
U K L I U D I X P C A E
Z I V R T T O R N N T M
R E E J L I A D X O I T
Y A R D A X V N W I O E
L O A O X R Z E H T N M
D I A T Y R Z Y O C A V
R A T I O N A L L A L Y
Z K S G Z N X Z E R B V
L A M I C E D P Q F C U

4. Word
Puzzle
P L I N T E G E R S I L
H O A D E M F L F Z R V
E B S R R N T Z S M R A
U K L I U D I X P C A E
Z I V R T T O R N N T M
R E E J L I A O I T
Y A R D A X V N W I O E
L O X R Z E H T N M
D I A T Y R Z Y O C A V
R A T I O N A L L A L Y
Z K S G Z N X Z E R B V
L A M I C E D F

5. SUBSETS OF
REAL
NUMBERS
GRADE 7

6. RATIONALNUMBERS IRRATIONAL NUMBERS
FRACTIONS INTEGERS
NEGATIVEINTEGERS WHOLE NUMBERS
ZERO NATURAL NUMBERS
Real Numbers

7. IRRATIONAL NUMBERS
• are the numbers
that cannot be
written in the
fraction form.
• These include
non-repeating
decimals.
π =
3.141592
6
e =
2.718281
8284
𝜙 =
1.61803
2
= 1.4142

8. RATIONAL NUMBERS
• are numbers
that can be
expressed
as a quotient
of
𝑎
𝑏
two
integers
4
5
12
= 0.416 2.4343
0.50 =
1
2

9. INTEGERS
• are numbers
that can be
positive,
negative, or
zero.
• symbol: "ℤ"
{1, 2, 3, 4, 5,...}
{… , −5, −4, −3, −2, −1}
0

10. NEGATIVE INTEGERS
• are set of
numbers that
include all the
integers less
than zero.
• symbol: "ℤ−
"
- 2 - 18
− 56 - 89

11. WHOLE NUMBERS
• whole quantity
• without
fractions or
decimal points
• symbol: "W"
{1, 2, 3, 4, 5, ...}
0

12. NATURAL NUMBERS
• are counting
numbers.
• start in 1.
• This subset
consists of all
positive integers
• symbol: "N"
{1, 2, 3, 4, 5, ...}
What are the
natural numbers
from 1 to 100?

13. REAL NUMBERS
• Real numbers are the set of
numbers that includes all rational
and irrational numbers. Including
zero, positive and negative
numbers.

14. We can represent real numbers in a number line:

15. 1. What subset of real
numbers do children learn
at an early stage when they
were just starting to talk?

16. Answer: Natural numbers
or counting numbers

17. 2. Anne wants to divide her
pizza equally among her four
friends. What subset of real
number represents the amount
of pizza each friend will receive?

18. Answer: Rational numbers

19. 3. If you have 3 apples and you
get 2 more apples, what subset
of real numbers are represented
by the total number of apples
you have?

20. Answer: Whole numbers

21. 4. Anthonete went to the market
to buy vegetables. She bought 2
potatoes, 3 carrots, and 4
onions. How many vegetables
did she buy in total?

22. Answer: 9
Answer: Integers

23. 5. Jona is standing at the point
zero on number line. She walks
4 steps to the left. What subset
of real number represents Jona's
position after taking these steps?

24. Answer: -4
Answer: Negative numbers

25. 6. Melody wants to measure the
diagonal of a square with sides of
length of 1cm. What is the length
of the diagonal and what subset
of real numbers represents its
length?

26. 𝐴𝑛𝑠𝑤𝑒𝑟: 𝟐 𝒐𝒓 𝟏. 𝟒𝟏𝟒𝟐𝟏𝟑𝟓𝟔
Answer: Irrational
numbers

27. Activity

28. Direction: Determine the subset of real numbers to which
each number belongs. Use tick mark (/) to answer.
Numbers Integer Rational
Whole
number
Irrational
example:
1.
𝟑
𝟏
  
2.
3.

29. ASSESSMENT
TIME!

30. I. MATCHING TYPE
1. Integers A. counting numbers (no zero)
2. Irrational numbers B. any rational or irrational number
3. Natural numbers C. natural numbers with zero
4. Rational numbers D. whole numbers and their opposites
5. Real numbers E. a number that does NOT repeat or
termInate
6. Whole numbers F. any number with a decimal form that
terminates or repeats

31. II. Give at least two examples of each kind of real numbers.
1. Irrational Numbers
2. Rational Numbers
3. Natural Numbers
4. Whole Numbers

32. III. Complete the Hierarchy Chart of subsets of real numbers.

33. ASSIGNMENT:
Study and prepare for a
short quiz.

34. CREDITS: This presentation template was created by
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