Grade 7 Rational Numbers- ADDITION @classes6782

What are Rational Numbers?

A rational number is any number that can be written as a fraction, where the numerator and denominator are integers and the denominator is not zero.

Examples:

• $\frac{1}{2}, \frac{-3}{4}, 0, 5, -7$ (All are rational numbers)

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➕ What is Addition of Rational Numbers?

Addition of rational numbers means combining two or more rational values.
We follow these rules:

• Same denominators → Add numerators

• Different denominators → Use LCM to make same denominators

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🎯 Why is Adding Rational Numbers Important?

1. Used in Real Life

• Balancing bank accounts (profits and losses)

• Measuring temperatures (positive and negative degrees)

• Handling debts and credits (positive and negative money)

2. Foundational for Algebra

• Helps in simplifying expressions

• Used when solving equations and formulas

3. Develops Logical Thinking

• Teaches students to compare values, use LCM, and apply signs correctly

• Helps improve problem-solving and reasoning skills

4. Needed for Higher Classes

• Addition of rational numbers is the base for:

  • Algebraic equations

  • Rational expressions

  • Data handling

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🧠 Example:

Add:

$$\frac{2}{3} + \frac{-5}{6}$$

👉 LCM of 3 and 6 is 6

$$= \frac{4}{6} + \frac{-5}{6} = \frac{-1}{6}$$