Mathematics · Class 7
Integers
Integer properties, operations, and applications in temperature and elevation.
4 sections15–25 min read6 MCQs · 2 examples
Chapter Overview
Class 7 integers deepen operations with larger numbers, properties of addition and multiplication, and word problems involving profit-loss, elevation, and temperature changes across India.
Properties of Integers
- Closure under addition and multiplication
- Additive identity: a + 0 = a
- Multiplicative identity: a × 1 = a
- Additive inverse: a + (−a) = 0
Operations Review
- Same sign addition: add and keep sign
- Different sign addition: subtract smaller magnitude from larger
- a − (−b) = a + b
- Product of two negatives is positive
Applications
Bank deposits (+) and withdrawals (−), Shimla's sub-zero winters, and diving depths use integer arithmetic daily.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Example 1: Add Integers
Find (−45) + 28 + (−17).
- 1(−45) + (−17) = −62
- 2−62 + 28 = −34
Answer
−34
Example 2: Profit and Loss
A shopkeeper gains ₹350 on Monday and loses ₹480 on Tuesday. Net result?
- 1+350 + (−480)
- 2= −130
Answer
Net loss of ₹130
Key Points to Remember
- ✓ Use number line for verification
- ✓ Distributive property holds for integers
- ✓ Division: quotient sign follows sign rules
Exam Tips
- • Show grouping for multi-term sums
- • State profit/loss clearly in word problems
Practice MCQs — Integers
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 6Score: 0/0
Additive inverse of −15 is: