Adding Integers Using a Number Line

Overview

• Focus: Adding integers using a number line
• Reference: Class 6 NCERT book
• Concept: Positive and negative numbers on a number line

Examples

Example 1: Adding 9 and -6

• Step 1: Mark 0 on the number line.
• Step 2: Mark 9 divisions on the positive side: 1, 2, ..., 9.
  • Move in a positive direction, arrow pointing right.
• Step 3: Add -6.
  • Move 6 steps in the opposite (negative) direction: 1, 2, ..., 6.
  • Arrow pointing left.
• Result: Stop at 3. Answer: +3

Example 2: Adding 5 and -11

• Step 1: Mark 0 on the number line.
• Step 2: Mark 5 on the positive side.
  • Move in a positive direction.
• Step 3: Add -11.
  • Move 11 steps in the opposite direction.
• Result: Stop at -6. Answer: -6

Example 3: Adding -1 and -7

• Step 1: Mark 0 and -1 on the number line.
• Step 2: Add -7.
  • Move 7 steps further in the negative direction.
• Result: Stop at -8. Answer: -8

Example 4: Adding -5 and 10

• Step 1: Mark 0 and -5 on the number line.
• Step 2: Add 10.
  • Move 10 steps in the positive direction.
• Result: Stop at 5. Answer: +5

Example 5: Adding -1, -2, and -3

• Step 1: Mark 0 and -1.
• Step 2: Add -2.
  • Move 2 steps further in the negative direction.
• Step 3: Add -3.
  • Move 3 more steps in the negative direction.
• Result: Stop at -6. Answer: -6

Example 6: Adding -2, 8, and -4

• Step 1: Mark 0 and -2.
• Step 2: Add 8.
  • Move 8 steps in the positive direction.
• Step 3: Add -4.
  • Move 4 steps in the negative direction.
• Result: Stop at 2. Answer: +2

Conclusion

• Using a number line helps visualize the addition of integers.
• Positive numbers move right, negative numbers move left.
• Each example emphasizes counting steps from the starting point to find the resultant point.