Question

Write all the properties of Rational number with proper example.​

Answer 1

Answer:

Rational means anything which is completely logical whereas irrational means anything which is unpredictable and illogical in nature. 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. We can denote these numbers by Q.

Step-by-step explanation:

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. For example:

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

(5/6) – (1/3) = 1/2

(2/5). (3/7) = 6/35

Commutative law -

For rational numbers, addition and multiplication are commutative.

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

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

example-6+3=3+6

Associative law -

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.

Some important properties that should be remembered are:

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

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

example-3 × (2 + 4)  =  3 × 6  =  18

3×2 + 3×4  =  6 + 12  =  18

i hope this helps you , if it does then please mark me the brainliest.

Answer 2

Step-by-step explanation:

hey mate...

the properties of personal number are ..

..

• it is written in the form of p/q
• here p does not equals to 0.

...eg..

3/5,

4/17,

66,

91/5, etc...

..

hope it helps you...

thanx dost....