CBSE · Class 8 · Mathematics · Rational NumbersWhat is the multiplicative inverse (reciprocal) of $-\frac{5}{9}$?
Step-by-Step Solution
The correct answer is $-\frac{9}{5}$. The multiplicative inverse of a non-zero rational number $\frac{a}{b}$ is $\frac{b}{a}$ because $\frac{a}{b} \times \frac{b}{a} = 1$.
Detailed Options Breakdown
Option : $\frac{5}{9}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Rational Numbers.
Option 1: $\frac{9}{5}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Rational Numbers.
Option 2: $-\frac{9}{5}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $-\frac{5}{9}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Rational Numbers.
💡 Study Guide: This question tests core syllabus concepts from Rational Numbers. For formulas, key summaries, and mock exam reference guides, read the full Rational Numbers Revision Notes.