Question

mention the commutativity associative and distributive properties of rational number also check axb =bxa and a+b = b+a for a= 1/2 and b= 3/4

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Answer 1

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putting the values of a and b

$\frac{1}{2} \times \frac{3}{4} = \frac{3}{4} \times \frac{1}{2}$

$\frac{3}{8} = \frac{3}{8}$

$l.h.s = r.h.s$

then

$\frac{1}{2} + \frac{3}{4} = \frac{3}{4} + \frac{1}{2}$

$\frac{2 + 3}{4} = \frac{3 + 2}{4}$

$\frac{5}{4} = \frac{5}{4}$

$l.h.s = r.h.s$

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Answer 2

Answer:

Associative Property of Rational Numbers =>

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

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

Distributive Property of Rational Numbers =>

a * (b + c) = ab + ac

a * (b - c) = ab - ac

Commutative Property of Rational Numbers=>

a + b = b + a

a - b ≠ b - a

a * b = b * a

a ÷ b ≠ b ÷ a

To check => a * b = b * a and a + b = b + a for a= 1/2 and b= 3/4

a * b = b * a

$\frac{1}{2} * \frac{3}{4} = \frac{3}{4} * \frac{1}{2}$

$\frac{3}{8} = \frac{3}{8}$

L.H.S = R.H.S

a + b = b + a

$\frac{1}{2} + \frac{3}{4} = \frac{3}{4} + \frac{1}{2}$

$\frac{4 + 6}{8} = \frac{6 + 4}{8}$

$\frac{10}{8} = \frac{10}{8}$

L.H.S = R.H.S