Class 7 Math: Rational Numbers Quick Revision Chapter Summary

Need to review the entire chapter before a test? This quick revision guide summarizes all the core concepts, topics, and equations taught in Class 7 Rational Numbers to help you refresh your memory instantly.

Core Topics At a Glance

### 📌 Rational numbers definition A rational number is a number that can be written in the form p/q, where p and q are integers and q is not zero.

### 📌 Positive and Negative rationals Positive rational numbers have numerator and denominator of the same sign. Negative rational numbers have different signs.

### 📌 Standard form of rational numbers A rational number is in standard form if its denominator is positive and the numerator and denominator have no common factors other than 1.

### 📌 Comparison of rational numbers Comparing rational numbers by finding a common denominator (LCM) or using cross-multiplication.

### 📌 Operations on rational numbers (addition, subtraction, multiplication, division) Operations on rational numbers follow fraction rules: LCM for addition/subtraction, direct multiplication, and reciprocal multiplication for division.

Key Formulas Mind Map

• Rational Standard Form: `q \neq 0, \text{GCD}(p,q)=1` - Form p/q where numerator and denominator have no common factor....

Revision Checklist

1. Review the subtopic guides and outline notes.
2. Practice writing the key formulas from memory.
3. Solve at least 3 worked examples and check your steps.
4. Take a timed practice quiz to verify your speed.