Question

verify associativity of addition of rational numbers for each of the following pair of rational numbers i.e. (p+q)+ r=p+(q+r) a) p=1/3 ,q=-2/5 ,r=-1/4 b)p=2/5 ,q=4/3,r=7/4​

Answer 1

Answer:

Additive identity: Zero is the additive identityfor Rational, natural, whole numbers and integers, since adding it to them does not change the result. Hence, 0 + a = a + 0 = a, where a can be rational number or naturalnumber or whole number of integer.

Answer 2

Associativity- Rational numbers are associative under addition and multiplication. If a, b, c are rational numbers, then:

Associative property under addition: p + (q + r) = (p + q) + r

Associative property under multiplication: p(qr) = (pq)r

Associativity- Rational numbers are associative under addition and multiplication. If a, b, c are rational numbers, then:

Associative property under addition: p + (q + r) = (p + q) + r

Associative property under multiplication: p(qr) = (pq)r