6. CLOSURE PROPERTY
Closure property means that if we divide/ add/ subtract/ multiply a rational
number the answer should always be a rational number if one of the case
becomes wrong then the whole law is wrong.
11. COMMUTATIVE PROPERTY
Commutative property means, that by interchanging
the position of rational numbers the answer should
be same.
𝑝
𝑤
+
𝑞
𝑛
=
𝑞
𝑛
+
𝑝
𝑤
16. ASSOCIATIVE PROPERTY
Associative property means that by interchanging the
position of three rational numbers the answer should
be same.
𝑝
𝑞
+
𝑛
𝑚
+
𝑥
𝑦
=
𝑥
𝑦
+
𝑛
𝑚
+
𝑝
𝑞
24. MULTIPLICATIVE IDENTITY
• Multiplicative identity means that if we will multiply any number
by a number the answer will always be same.
• 1 is the multiplicative identity for rational numbers. As it will not
change the identity of rational number or any integer.
• For example:
a.
1
2
× 1 =
1
2
b.
5
6
× 1 =
5
6
25. ADDITIVE IDENTITY
• Additive identity means that if we add any number by a number
the answer will always be same.
• Zero is called the identity for the addition of rational numbers. It
is the additive identity for integers and whole numbers as well.
• For example:
a. 0 + −9 = −9
b. 0 +
9
2
=
9
2
32. HOW TO FIND RATIONAL NUMVERS
BETWEEN NUMBER LINE?
•Take out the equivalent fraction of the rational
numbers and write the rational numbers lying
between them.
33. a. −3 & − 4
−
36
12
& −
48
12
−37/12 , −38/12 , −39 /12 , −40/12 , −41
TO FIND RATIONAL NOS. IN BETWEEN RATIONAL NUMBERS.
50. Which of the properties indicate give operation:
a + b + c = c + b + a
Associative Property
Closure Property
Commutative property
Distributive property