Question

Write the properties of rational numbers

Grade :- 8​

Answer 1

1.Closure Property.
2.Commutative Property.
3.Associative Property.
4.Distributive Property.
5.Identity Property.
6.Inverse Property.

Answer 2

Answer:

The properties of rational numbers are:

1.Closure Property

2.Commutative Property

3.Associative Property

4.Distributive Property

5.Identity Property

6.Inverse Property

1.Closure property:-

For two rational numbers say x and y the results of addition, subtraction and multiplication operations give a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication.

2.Commutative Property:-

For rational numbers, addition and multiplication are commutative.

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

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

3.Associative Property:-

Rational numbers follow the associative property for addition and multiplication.

Suppose x, y and z are rational, then for addition: x+(y+z)=(x+y)+z

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

4.Distributive Property:-

The distributive property states, if a, b and c are three rational numbers, then;

a x (b+c) = (a x b) + (a x c)

5.Identity Property:

0 is an additive identity and 1 is a multiplicative identity for rational numbers.

6.Inverse Property:-

For a rational number x/y, the additive inverse is -x/y and y/x is the multiplicative inverse.

Step-by-step explanation:

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