Question

Write the properties of Rational Numbers.
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Answer 1

Answer:

1. Closure property

2. commutative property

3. Associate property

4. Distributive property

Answer 2

Answer:

The word rational has evolved from the word ratio. In general, rational numbers are those numbers that can be expressed in the form of p/q, in which both p and q are integers and q≠0. The properties of rational numbers are:

• Closure Property
• Commutative Property
• Associative Property
• Distributive Property
• Identity Property
• Inverse Property

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.

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

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.

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)

Identity Property

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

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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