Class 9 Math – Exercise 1.1 | Number Systems | Fully Solved with Easy Explanations
Welcome to Smart Study Notes! In this post, you will find fully solved solutions for Class 9 Math Exercise 1.1 (Number Systems). These solutions are written in both Urdu and easy English to help every student understand the concepts clearly.
🔢 Topic: Number Systems (اعدادی نظام)
In this exercise, you will learn about:
- Natural Numbers (قدرتی اعداد)
- Whole Numbers (صحیح اعداد)
- Integers (اعداد صحیح)
- Rational Numbers (معقول اعداد)
- Real Numbers (حقیقی اعداد)
📘 Question 1: Classify the following numbers as:
- Natural Numbers
- Whole Numbers
- Integers
- Rational Numbers
- Real Numbers
| Number | Natural | Whole | Integer | Rational | Real |
|---|---|---|---|---|---|
| -3 | ❌ | ❌ | ✅ | ✅ | ✅ |
| 0 | ❌ | ✅ | ✅ | ✅ | ✅ |
| 2 | ✅ | ✅ | ✅ | ✅ | ✅ |
| 3/4 | ❌ | ❌ | ❌ | ✅ | ✅ |
| √2 | ❌ | ❌ | ❌ | ❌ | ✅ |
| -7.5 | ❌ | ❌ | ❌ | ✅ | ✅ |
📗 Question 2: Which of the following are rational numbers?
Given: -1, 0.25, √3, 7, π (pi) Solution: - -1 → ✅ Rational - 0.25 → ✅ Rational (1/4) - √3 → ❌ Not Rational (Irrational) - 7 → ✅ Rational (7/1) - π → ❌ Irrational ---📌 Easy Explanation in Urdu:
Rational Number وہ ہوتے ہیں جو کسی fraction کی صورت میں ہوں: a/b (جہاں a اور b integers ہوں اور b ≠ 0)
Natural Numbers: 1, 2, 3, 4, ...
Whole Numbers: 0, 1, 2, 3, ...
Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...
Real Numbers: تمام rational + irrational numbers
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