[ays_quiz id=”104″]

Class 6 → Mathematics → Chapter 10: The Other Side of Zero

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I. Chapter Summary:

The chapter The Other Side of Zero introduces students to negative numbers and extends the number system beyond zero. Students learn about integers (positive and negative numbers), their representation on the number line, and comparison of integers. The chapter explains how numbers exist on both sides of zero and how they are used in real-life situations such as temperature, banking, and elevation. This builds a foundation for understanding advanced number systems.

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II. Key Concepts Covered:

1. Integers

Whole numbers along with their negatives and zero.

Examples: …, −3, −2, −1, 0, 1, 2, 3 …

2. Positive and Negative Numbers

• Positive → Greater than zero
• Negative → Less than zero

3. Number Line Representation

Integers are represented on a number line:

• Right side → Positive
• Left side → Negative

4. Comparison of Integers

• Numbers on the right are greater
• Numbers on the left are smaller

5. Absolute Value

Distance of a number from zero (always positive).

6. Real-Life Use of Integers

Used in temperature, profit/loss, elevation, etc.

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III. Important Questions:

(A) MCQs (1 Mark):

1. Which is a negative number?
   (a) 5
   (b) 0
   (c) −3 ✅
   (d) 2
2. Which number is greater?
   (a) −5
   (b) −2 ✅
   (c) −8
   (d) −10
3. Zero is:
   (a) Positive
   (b) Negative
   (c) Neither positive nor negative ✅
   (d) Both
4. On a number line, negative numbers lie on:
   (a) Right side
   (b) Left side ✅
   (c) Above
   (d) Below

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IV. Short Answer Questions (2/3 Marks):

1. Define integers with examples.
2. What are positive and negative numbers?
3. Represent −3 on a number line.
4. Compare −4 and −7.

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V. Long Answer Questions (5 Marks):

1. Explain integers and their types.
2. Describe representation of integers on number line.
3. Explain comparison of integers with examples.
4. Solve problems based on real-life use of integers.

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VI. HOTS Questions:

1. Why is zero considered neither positive nor negative?
2. How are negative numbers useful in real-life situations?

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VII. Key Formulas/Concepts:

Integer Representation

$dots, -3, -2, -1, 0, 1, 2, 3, dots$

Absolute Value Concept

$|a| = text{distance from zero}$

Example:

• |−5| = 5
• |3| = 3

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VIII. Deleted Portions (CBSE 2025–2026):

No portions have been deleted from this chapter as per the rationalized NCERT textbooks.

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IX. Chapter-Wise Marks Bifurcation (Estimated – CBSE 2025–2026):

Unit/Chapter	Estimated Marks	Type of Questions Typically Asked
The Other Side of Zero	5–7 Marks	MCQs, Short Answer, Concept-based

Note: This is an estimate. Actual marks distribution may vary.

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X. Previous Year Questions (PYQs):

1 Mark:

• What is an integer? (2019)

2/3 Marks:

• Represent integers on number line. (2020)
• Compare two negative numbers. (2021)

5 Marks:

• Explain integers and their uses. (2022)

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XI. Real-World Application Examples:

• Temperature below zero (−5°C)
• Bank balance (loss or debt)
• Elevation below sea level
• Profit and loss calculations

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XII. Student Tips & Strategies for Success:

Time Management:

• Practice number line questions regularly.

Exam Preparation:

• Focus on comparison of integers.
• Practice absolute value questions.

Stress Management:

• Take time to understand concepts.
• Solve step-by-step.

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XIII. Career Guidance & Exploration:

• Science Stream: Mathematics, Physics
• Commerce Stream: Accounting
• Arts Stream: Economics

Entrance Exams (Basic Awareness):

• Olympiads
• NTSE

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XIV. Important Notes:

• Remember position of numbers on number line.
• Practice comparison carefully.
• Understand concepts clearly.
• Refer to NCERT textbook.
• Revise frequently.