CBSE Class 6 Maths Worksheet Chapter 6 Integers - Download Free PDF
FAQs on CBSE Class 6 Maths Worksheet Chapter 6 Integers - PDF
1. What are some expected 2-mark questions from Chapter 6, Integers, for the Class 6 exam?
For the Class 6 Maths exam (2025-26), some important 2-mark questions on Integers typically involve real-world applications or number line operations. For example:
- Representing situations like 'a profit of ₹200' as +200 or 'a depth of 50 metres below sea level' as -50.
- Using a number line to find the integer which is '4 more than -1' or '3 less than 2'.
2. How do you find the additive inverse of an integer, and why is it important?
The additive inverse of an integer is the number that, when added to it, gives a sum of zero. For example, the additive inverse of -8 is +8 because (-8) + (+8) = 0. This concept is very important because it forms the basis of subtracting integers. Subtracting an integer is the same as adding its additive inverse. For instance, 12 - (-5) is solved as 12 + 5 = 17.
3. What are some higher-order thinking (HOTS) questions that could be asked from the Integers chapter?
HOTS questions test deeper conceptual understanding. An expected HOTS question might be: 'On a particular day, the temperature in Srinagar was -4°C. The next day, it dropped by 2°C. On the day after, it rose by 3°C. What was the final temperature?' To solve this, you must perform multiple operations: (-4) - 2 = -6°C, and then (-6) + 3 = -3°C. These questions test your ability to apply rules of integers in a sequence.
4. Which integer is greater, -52 or -25? Explain the rule used to compare negative integers.
The integer -25 is greater than -52. The rule for comparing negative integers is that the integer with the smaller numerical value is actually the larger number. On a number line, numbers increase in value from left to right. Since -25 is to the right of -52 (i.e., closer to 0), it is the greater integer. This is a fundamental concept frequently tested in 1-mark questions.
5. How are integers used to represent opposite ideas in real life? Provide two different examples.
Integers are essential for representing values that are opposites of each other, with zero as a neutral reference point.
- Financial Transactions: A credit or deposit into a bank account is shown as a positive integer (e.g., +₹1000), while a debit or withdrawal is shown as a negative integer (e.g., -₹500).
- Elevation: The height of a mountain peak above sea level is a positive integer (e.g., +8848 m), while the depth of a submarine below sea level is a negative integer (e.g., -300 m).
6. Why is subtracting a negative integer the same as adding a positive one? Explain with an example.
This is a core rule of integer operations. Subtracting a negative integer is like removing a debt, which is equivalent to a gain. Think of it on a number line: subtracting means moving to the left. But subtracting a negative value reverses this direction. For example, in the problem 7 - (-3), you start at 7. Instead of moving left, the double negative (- -) instructs you to move 3 steps to the right, landing on 10. This gives the same result as 7 + 3 = 10.
7. Why is 0 considered an integer but is neither positive nor negative?
Zero is an integer because it is a whole number. It is considered the origin point on the number line. Positive integers (1, 2, 3, ...) represent values greater than zero and are located to its right. Negative integers (-1, -2, -3, ...) represent values less than zero and are located to its left. Since zero itself is the central, dividing point, it carries no sign and is defined as being neither positive nor negative.
