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Q.

By using the example, which of the following laws may be demonstrated?

if a and b are rational numbers, then a + b = b + a.

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a

Commutative law of addition

b

Closure property

c

Distributive law of addition

d

Associative law of addition

answer is A.

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Detailed Solution

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According to the commutative law of addition if a and b are two rational numbers then the order in which they are added will not change their sum. 

For example, if a and b are two rational numbers then, a+b = b+a.

Therefore the given example demonstrates the commutative law of addition.

A glance at other option

  • Example of associative law of addition: (a+b)+c= a+(b+c)
  • Example of distributive law of addition: a(b+c)=ab+ac
  • Example of Closure property: a+b=c
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