Question

Give the defination of all the properties of rational number of class 8 with example

Answer 1

those no in root are called irrational no ok are undustand

Answer 2

Question :

Give the definition of all the properties of rational number with example.

Answer :

The properties of rational numbers are as follows :

• Closure property

For two rational numbers , the results of their addition, subtraction and multiplication operations always give a rational number.

For example :

(7/6)+(2/5) = 47/30

• Commutative Property

.

Commutative law of addition: a+b = b+a

Commutative law of multiplication: a×b = b×a

For example:

6+7 = 7+6

• Associative Property

Rational numbers follow the associative property for operations like addition and multiplication.

Let x, y and z be rational numbers, then for addition: x+(y+z)=(x+y)+z

For multiplication: x(yz)=(xy)z.

For Example: 1/2 + (1/4 + 2/3) = (1/2 + 1/4) + 2/3

⇒ 17/12 = 17/12

• Distributive Property

The distributive property states, if x, y and z are three rational numbers, then;

x x (y+z) = (x x y) + (x x z)

For Example:

1/2 x (1/2 + 1/4) = (1/2 x 1/2) + (1/2 x 1/4)

LHS = 1/2 x (1/2 + 1/4) = 3/8

RHS = (1/2 x 1/2) + (1/2 x 1/4) = 3/8

Hence, proved

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