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Question

# Which of the following statements is true?(i) a(b+c)=ab+ac is the distributive law for all rational numbers a,b and c.(ii) The rational number 1 is the multiplicative identity for rational numbers.(iii) Additive inverse of rational number ab is cd if ab × cd=1

A
Only (i) and (iii)
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B
Only (i) and (ii)
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C
Only (ii) and (iii)
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D
All of these
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Solution

## The correct option is A Only (i) and (ii)(i) a(b+c)=ab+ac is the distributive law for all rational numbers a,b and c.This statements is true(ii) The rational number 1 is the multiplicative identity for rational numbersThis statements is true(iii) Additive inverse of rational number ab is cdab cd=1This statements is not true

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