Integers (NCERT Ch. 6)

• Represent integers (…, -3, -2, -1, 0, 1, 2, 3, …) on a number line.
• Compare and order integers using the number line.
• Add and subtract integers using number-line rules.
• Understand real-life uses: temperature below zero, profit/loss, floors below ground level.

1. Integers include positive numbers, negative numbers, and zero.
2. On the number line, numbers to the right are greater, numbers to the left are smaller.
3. Adding a positive integer moves right; adding a negative integer moves left.
4. Subtracting an integer is the same as adding its opposite: a − b = a + (−b).
5. Every negative integer is less than every positive integer and less than 0.

Find (−5) + 8 using the number line.

Start at -5. Move 8 steps to the right (adding a positive number).
-5 → -4 → -3 → -2 → -1 → 0 → 1 → 2 → 3
Answer: 3

• Thinking −8 is greater than −3 (it's smaller — further left on the number line).
• Forgetting the sign when subtracting: 4 − 9 = 4 + (−9) = −5, not 5.
• Mixing up direction of movement for addition vs subtraction.

• Which is greater: −7 or −2?
• Compute (−4) − (−6).

Open the Practice tab for graded questions on Integers (NCERT Ch. 6).