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Representation and Comparison of Integers on Number line Video Lecture | Mathematics for Class 6

FAQs on Representation and Comparison of Integers on Number line Video Lecture - Mathematics for Class 6

1. What is a number line and how is it used to represent integers?

Ans. A number line is a straight line that visually represents numbers in a sequential manner. It is typically marked with equal intervals, allowing us to place integers (whole numbers) on it. The center of the number line is usually designated as zero (0), with positive integers extending to the right and negative integers extending to the left. This helps in understanding the relative positions of integers, their values, and how to perform operations like addition and subtraction.

2. How do you compare two integers using a number line?

Ans. To compare two integers using a number line, you first locate both integers on the line. The integer that is farther to the right is greater, while the one that is farther to the left is smaller. For example, if you compare -3 and 2, -3 is to the left of 2 on the number line, indicating that -3 is less than 2. This visual representation helps in easily understanding which integer is larger or smaller.

3. What is the significance of zero on the number line in relation to integers?

Ans. Zero (0) is a crucial point on the number line as it acts as the dividing line between positive and negative integers. It is neither positive nor negative. The integers to the right of zero are positive, while those to the left are negative. Understanding the role of zero helps in grasping the concept of opposites in integers, where for every positive integer, there is a corresponding negative integer.

4. Can you explain how to add and subtract integers using a number line?

Ans. Adding integers on a number line involves moving to the right for positive integers and to the left for negative integers. For example, to add 3 and 2, you would start at 0, move 3 spaces to the right to reach 3, and then move 2 more spaces to the right to land on 5. For subtraction, you do the opposite; to subtract, you move left. For instance, to calculate 3 - 2, you start at 3 and move 2 spaces to the left, arriving at 1.

5. What are some real-life applications of integers and number lines?

Ans. Integers and number lines have numerous real-life applications. They are used in measuring temperatures (where below zero indicates negative temperatures), in financial contexts (like debts and credits), and in various sports scoring systems where negative scores can occur. Understanding integers through number lines allows individuals to visualize and solve problems related to these scenarios effectively.

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Oct 23, 2025 Last updated

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	Mathematics for Class 6 48 videos\|389 docs\|23 tests

Mathematics for Class 6

48 videos|389 docs|23 tests

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