Question

State the properties of rational numbers and give one example of each.​

Answer 1

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

Step-by-step explanation:

1. a+b=rational number
2. a+b=b+a
3. a+(b+c)=(a+b)+c
4. axb+axc=a(b+c)
5. a+0=a,a×1=a
6. a+-a=0

hope this helps u....

Answer 2

Answer:

The properties of rational numbers are

1 ) Closure Property

eg : (7/6)+(2/5) = 47/30 , (5/6) – (1/3) = 1/2

2 ) Commutative Property

eg : a+b=b+a , axb=bxa

3 ) Associative Property

eg : x+(y+z)=(x+y)+z , x(yz)=(xy)z

4 ) Distributive Property

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

5 ) Identity Property

eg : 1/2 + 0 = 1/2 [Additive Identity]

1/2 x 1 = 1/2 [Multiplicative Identity]

6 ) Inverse Property

eg : The additive inverse of 1/3 is -1/3.

The multiplicative inverse of 1/3 is 3.