Question

Define rational number.Take an example to show that rational number follows:1.commutative law 2.Distributive law 3.Associative law
Please answer me​

Answer 1

Answer:

any no. which can be expressed in the form of p/q, where q is not equal to 0.

1. 1/2+2/1=2/1+1/2
2. 1(2+3)=1x2+1x3
3. 1/2+(3/7+4/6)= (1/2+3/7)+4/6

Step-by-step explanation:

i have given short examples . hope this is useful.

Answer 2

Answer:

Any number in the form of p/q where p and q are integers and q is not equal to 0 is called a rational number.

According to commutative property, a+b = b+a where a and b are rational numbers. Let us consider two rational numbers -3/4 and 5/6.

a+b = b+a

-3/4 + 5/6 = 5/6 + (-3/4)

-9/12 + 10/12 = 10/12 - 9/12

1/12 = 1/12

L.H.S = R.H.S

According to distribuive property, a*b + a*c = a * (b+c), where a, b and c are rational numbers. Let us consider three rational numbers -5/3, 3/2 and 1/6.

a*b + a*c = a * (b+c)

(-5/3*3/2) + (-5/3*1/6) = -5/3 * (3/2 + 1/6)

(-5/2) + (-5/18) = -5/3 * 5/3

-25/9 = -25/9

L.H.S = R.H.S

According to associative property, a+(b+c) = b+(c+a), where a, b and c are rational numbers. Let us consider three rational numbers 1/2, 7/3 and -2/3.

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

1/2 + [7/3+(-2/3)] = 7/3 + [-2/3 + 1/2]

1/2 + 5/3 = 7/3 + [-1/6]

13/6 = 13/6

L.H.S = R.H.S