Class 8 Maths Chapter 1 Rational Numbers Solutions | NCERT Explained Step by Step

 

📘 Class 8 Maths Chapter 1 – Rational Numbers

Are you looking for clear and simple explanations of Class 8 Maths Chapter 1 Rational Numbers?
Here you will get easy explanations, formulas, and solved examples.

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🔹 What are Rational Numbers?

A rational number is a number that can be written in the form:

a / b

Where:

• a and b are integers

• b ≠ 0

Examples:
1/2, -3/4, 5, 0, 7/8

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🔹 Important Properties of Rational Numbers

1️⃣ Closure Property

The sum, difference, and product of two rational numbers is always a rational number.

2️⃣ Commutative Property

a + b = b + a
a × b = b × a

3️⃣ Associative Property

(a + b) + c = a + (b + c)

4️⃣ Distributive Property

a × (b + c) = a × b + a × c

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🔹 Solved Examples

Example 1

Add: 3/4 + 5/8

Solution:
LCM of 4 and 8 = 8

3/4 = 6/8

Now add:
6/8 + 5/8 = 11/8

Answer = 11/8

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Example 2

Find reciprocal of -5/7

Reciprocal = -7/5

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🔹 Practice Questions

1. Add: 2/3 + 4/5

2. Find multiplicative inverse of 9/11

3. Verify distributive property for given numbers

Try solving before checking solutions!

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🔹 Conclusion

In this chapter, we learned about:

• Meaning of rational numbers

• Properties

• How to add and multiply them

• Important formulas

• Practice daily to improve speed and accuracy.