Please solve q7 and give solution and definition of commutativity under multiplication and commutativity under addition and distributivity of multiplication over addition
Match the following:

Question

Please solve q7 and give solution and definition of
commutativity under multiplication and commutativity under addition
and distributivity of multiplication over addition
Match the following:

(i) 425 × 136 = 425 × 6 + 30 + 100
(a) Commutativity under multiplication

(ii) 2 × 49 × 50 = 2 × 50 × 49
(b) Commutativity under addition

(iii) 80 + 2005 + 20 = 80 + 20 + 2005
(c) Distributivity of multiplication over addition

Sanjay Kumar Manjhi · Accepted Answer

Dear Student,Commutativity under Multiplication: It states that changing the order of factors does not change the product
Example: If a and b are two real numbers, then a×b=b×a
Commutativity under Addition: It States that changing the orders of numbers does not change the sum
Example: If a and b are two real numbers, then a+b=b+a
Distribution of Multiplication over addition: It states that multiplying a sum by a number gives the same result                 as multiplying each addend by the number and then adding the products together
Example: If a, b and c are three real numbers, then a×(b+c)=ab+ac
Now,(i) 425×136=425×(6+30+100) ⇒Distribution of Multiplication over addition(ii) 2×49×50=2×50×49 ⇒ Commutativity under Multiplication(iii) 80+2005+20=80+20+2005⇒Commutativity under AdditionRegards

(i) $425 \times 136 = 425 \times (6 + 30 + 100)$	(a) Commutativity under multiplication
(ii) $2 \times 49 \times 50 = 2 \times 50 \times 49$	(b) Commutativity under addition
(iii) $80 + 2005 + 20 = 80 + 20 + 2005$	(c) Distributivity of multiplication over addition