In this ppt slides, it includes all information about rational numbers. It start from natural numbers and at operations on rational numbers.

1. Natural numbers and whole numbers

2. 1,2,3,4,5,6,7,8,9,10,…
1
2
3 4 5 6 7 …
4 6 8 10
1 3 5 7 9
, , , , …
2
, , , , …

3. Natural Numbers
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …
Whole Numbers
1 2 3 4 5 6 7 8 9 10
1 2 3 4 5 6 7 8 9 10
0

4. Negative Numbers
1 2 3 4 5 6 7 8 9 10
0
−2 −1 0 1 2 3 4 5 6 7
−3
−4
−5
−6
−7
… , −5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5, …
Integers

5. −2 −1 0 1 2 3 4 5 6 7
−3
−4
−5
−6
−7
1
0
1
2
1
2

6. Rational Numbers
. . . , −1, −
1
2
, −
1
3
, −
1
4
, 0,
1
4
,
1
3
,
1
2
, 1, …
A rational number is a number that can be in the form p/q
where p and q are integers and q is not equal to zero.
Yes, It is, every interger is a rational number.

7. −2 −1 0 1 2 3 4 5 6 7
−3
−4
−5
−6
−7
Natural Numbers
Whole Numbers
Integers
Rational Numbers

8. Rational number on number line
0 1 2
−1
−2
1st Part 2nd Part
0
2
1
2
2
2
3
2
4
2
−1
2
−2
2
−3
2
−4
2
0
3
1
3
2
3
3
3
4
3
5
3
6
3
−1
3
−2
3
−3
3
−4
3
−5
3
−6
3
1st Part 2nd Part 3rd Part

9. 0 1 2
−1
−2
Ordering Rational numbers
Proper Fractions
Numerator Denominator
Improper/Mixed Fractions
Numerator Denominator

10. Addition/subtraction of rational numbers
3
5
±
7
5
=
3 ± 7
5
=
10
5
𝑜𝑟
−4
5
3
10
±
7
5
=
3 ± 14
10
=
17
10
𝑜𝑟
−11
10
3
10
±
14
10
=
3
10
±
7
8
=
24 ± 70
80
=
94
80
𝑜𝑟
−46
10
24
80
±
70
80
=

11. Addition/subtraction of rational numbers
Addition / Subraction of Rational Number is possible when denominators
are same.
3
7
±
5
9
=
×
𝟕 × 𝟗
𝟑 × 𝟗 𝟓 × 𝟗
±
=
27 ± 45
63
=
72
63
𝑜𝑟
−19
63

12. multiplication of rational numbers
numerator
by numerator denominator by denominator.
3
7
×
5
9
=
×
𝟕 × 𝟗
𝟑 × 𝟓
=
15
63
×

13. Division of rational numbers
3
7
÷
5
9
=
×
𝟕 × 𝟓
𝟑 × 𝟗
=
27
35
×
3
7
× =