Question

Mention the commutativity, associative and distributive properties of rational numbers.
Also check a*b=b*a and a+b=b+a if a=1/2 and b=3/4

Answer 1

Answer:

5/9 x 2/9 = 10/81 is a rational number. (ii) Commutative Property : Multiplication of rational numbers is commutative. Therefore, Commutative property is true for multiplication.

Distributive property for rational number states that if any particular sum of variable is further multiplied to the same number which is equivalent to the result then further again every individual variable is multiplied and all the products are added altogether at the end.

Step-by-step explanation:

a*b=b*a if [ a=1/2 and b=3/4]

1/2*3/4 = 3/4*1/2

o.375=0.375 (hence proved)

a+b=b+a

1/2+3/4 = 3/4+1/2

5/4 = 5/4

1.25 =1.25 (hence proved)

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