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Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
MCQ
Assertion (A): $\frac{2}{3} \times\left(\frac{4}{5}+\frac{6}{7}\right)=\frac{2}{3} \times \frac{4}{5}+\frac{2}{3} \times \frac{6}{7}$.
Reason (R): Multiplication is distributive over addition for rational numbers.
  • ✓
    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).
According to distributive law of multiplication over addition of rational numbers, we have
$
\frac{a}{b} \times\left(\frac{c}{d}+\frac{e}{f}\right)=\left(\frac{a}{b} \times \frac{c}{d}\right)+\left(\frac{a}{b} \times \frac{e}{f}\right)
$
So, both A and R are true and R correctly explains A.

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