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Question

Match the items in column-I with corresponding items in column-II.


Column 1Column 2

22 +77 = 77 +22

Commutativity under multiplication

2 +(3 +6) = (2 +3) +6

Associativity under multiplication

5 +0 =5 = 0 + 5

Commutativity under addition

12 ×99 = 99 ×12

Associativity under addition

11 ×(2 ×7) = (11 ×2) ×7

Identity under addition

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Solution

Step I - Explanation for A -

In commutative under addition, the addition of two whole numbers will remain same if their numbers are interchanged.

a+b=b+a.

Step II - Explanation for B -

In associative under addition, the addition of three or more than three will remain same. It is not necessary to add them in the order they are given.

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

Step III - Explanation for C -

In identity under addition, If 0 is added to any whole number, the sum is number itself.

a+0=a=0+a

Step IV - Explanation for D -

In commutativity under multiplication, the product of two whole numbers will remain same whatever be the order of multiplication.

a×b=b×c

Step V - Explanation for E -

In associativity under multiplication, the product of three whole numbers will remain same even if their arrangements are changed.


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