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Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
MCQ
Assertion (A): Addition and multiplication of rational numbers is both commutative and associative.
Reason (R): The rational numbers may be added or multiplied in any order or by grouping in any order. The sum or product remains the same.
  • ✓
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
✓

Answer

Correct option: A.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
If $a, b$ and $c$ are rational numbers then by commutative law, we have
$a+b=b+a$ and $a \times b=b \times a$.
And, by associative law, we have
$a+(b+c)=(a+b)+c \text { and }(a \times b) \times c=a \times(b \times c)$

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