Exercise 1.1 — Properties
Problems based on properties of rational numbers.
Exercise 1.1 — Properties in Action
Exercise 1.1 is where you prove to yourself that the properties of rational numbers are not just theory — they work for every number you compute with. The questions test identification, verification, and application of closure, commutativity, associativity, and distributivity in Class 8 Mathematics.
Step-by-Step Approach
- Identify which property each question targets before computing — the structure of the numbers usually signals this.
- For verification questions, compute LHS and RHS separately and confirm equality — never assume they are equal.
- Additive inverse of p/q is −p/q; multiplicative inverse is q/p (p ≠ 0) — apply directly without deriving each time.
- Use standard form throughout — working with non-standard fractions causes arithmetic errors that cost marks.
- Always verify your final answer satisfies the original condition of the question.
Marks Profile
Exercise 1.1 contributes 2-mark verification questions and 4-mark justification questions in CBSE, Telangana and Andhra Pradesh examinations. The 4-mark questions ask you to show all steps of a property proof — partial credit is awarded for each correct step, so always show working even if unsure of the final answer.
How to Use This Lesson
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