Integers — Previous Year Questions (Class 6 Mathematics)
Understand positive and negative numbers, number lines, and integer operations. Essential foundation for algebra.
TL;DR: Understand positive and negative numbers, number lines, and integer operations. Essential foundation for algebra.
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Understand positive and negative numbers, number lines, and integer operations. Essential foundation for algebra.
Integers — Previous Year Questions with Solutions
Q (2023, 2 marks): Represent the following on a number line: -5, -2, 0, 3, 5. Which is the smallest?
Answer: Number line representation:
← -5 -4 -3 -2 -1 0 1 2 3 4 5 →
Marked points: -5, -2, 0, 3, 5
Smallest number: -5 (furthest to the left)
Q (2022, 2 marks): Write the integer which is 5 more than -8 and 3 less than 10.
Answer: Integer which is 5 more than -8: -8 + 5 = -3
Integer which is 3 less than 10: 10 - 3 = 7
Note: These are different integers (-3 and 7)
Q (2023, 2 marks): Add: (-7) + (-5) + 12
Answer: (-7) + (-5) + 12
= -12 + 12
= 0
Q (2022, 3 marks): Subtract: (-15) - (-8). Also find the absolute value of the result.
Answer: (-15) - (-8) = -15 + 8 = -7
Absolute value of -7 = |-7| = 7
Q (2023, 3 marks): The temperature in a city was -2°C in the morning. It increased by 12°C in the afternoon. What was the temperature in the afternoon?
Answer: Morning temperature: -2°C
Increase in temperature: +12°C
Afternoon temperature: -2 + 12 = 10°C
Q (2022, 3 marks): Arrange in descending order: -3, 0, -8, 5, -1, 2
Answer: Descending order (largest to smallest):
5, 2, 0, -1, -3, -8
Frequently Asked Questions
What is the absolute value of an integer?
The absolute value of an integer is its distance from 0 on the number line, always positive. For example, |5| = 5 and |-5| = 5. Notation: |a| represents absolute value.
How do I subtract a negative integer?
Subtracting a negative is the same as adding its positive. For example, 5 - (-3) = 5 + 3 = 8. In general, a - (-b) = a + b.
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