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Q.

State if the given statement is true or false: Addition on real numbers is commutative and associative.

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a

True

b

False

answer is A.

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Detailed Solution

A statement is given as follows, ‘Addition on real numbers is commutative, associative and associative’. It is asked to state if this statement is true or false.
Commutative property: According to this property, the sum of two real numbers, say a and b, always remains the same irrespective of their order of multiplication, i.e.,

a + b = b + a

.
Associative property: According to this property, the sum of real numbers remains the same, irrespective of the way in which they are grouped together. This means that for three real numbers say a, b and c,

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

.
Hence, the given statement is true.
So, the correct option is 1.

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State if the given statement is true or false: Addition on real numbers is commutative and associative.