Question

Mention the commutativity, associative and distributive properties of rational numbers. Also, check a × b = b × a and a + b = b + a for a = ½ and b = ¾

Answer 1

Step-by-step explanation:

a=1/2. b=3/4

commutative property over addition

a+b=b+a

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

2+3/4=3+2/4

5/4=5/4

commutative property over multiplication

a×b=b×a

1/2×3/4=3/4×1/2

3/8=3/8

Commutative property:a+b=b+a

Associative property:a+(b+c)=(a+b)+c

Distributive property:a(b+c)=(ab)+(bc)