The Other Side of Zero — Class 6 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 6 Mathematics chapter "The Other Side of Zero" — 8 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 6 Mathematics chapter "The Other Side of Zero" — 8 important questions with detailed answers for CBSE boar…
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Key Questions Covered:
- What are integers? Give examples of positive and negative integers.
- On a number line, which is greater: -5 or -2?
- What do we use negative numbers for in daily life?
- Add: 5 + (-3)
- Subtract: 3 - (-2)
- Arrange the integers in order from smallest to largest: -3, 2, -5, 0, 4
- + 2 more questions in the full chapter
Solutions Summary:
| Question | Status |
|---|---|
| What are integers? Give examples of positive and negative… | ✓ Solved |
| On a number line, which is greater: -5 or -2? | ✓ Solved |
| What do we use negative numbers for in daily life? | ✓ Solved |
| Add: 5 + (-3) | ✓ Solved |
| Subtract: 3 - (-2) | ✓ Solved |
| Arrange the integers in order from smallest to largest: -… | ✓ Solved |
Showing 6 of 8 questions
Q1: What are integers? Give examples of positive and negative integers.
Integers are whole numbers including zero, positive numbers, and negative numbers
Step 1: Positive integers: 1, 2, 3, 4, 5, ... (greater than zero)
Step 2: Negative integers: -1, -2, -3, -4, -5, ... (less than zero)
Step 3: Zero: 0 (neither positive nor negative)
Step 4: Integers can be represented on a number line
Step 5: Set of integers = {..., -3, -2, -1, 0, 1, 2, 3, ...}
Final Answer: Integers include positive integers (1,2,3...), negative integers (-1,-2,-3...), and zero
Q2: On a number line, which is greater: -5 or -2?
Comparing integers on a number line
Step 1: On a number line, numbers to the right are greater
Step 2: Locate -5 on the left side
Step 3: Locate -2 on the right side of -5
Step 4: Since -2 is to the right of -5, -2 is greater
Step 5: -2 > -5 (Read as: minus 2 is greater than minus 5)
Final Answer: -2 is greater than -5
Q3: What do we use negative numbers for in daily life?
Applications of negative numbers in real life
Step 1: Temperature: Below zero is represented as negative (e.g., -5°C)
Step 2: Bank accounts: Overdraft or debt is shown as negative balance
Step 3: Height: Depth below sea level is negative (e.g., -100 m)
Step 4: Time: Before a reference point can be negative (e.g., -3 seconds before event)
Step 5: Profit/Loss: Loss in business is shown as negative
Final Answer: Negative numbers represent: temperatures below zero, debts, depths below reference, and...
Q4: Add: 5 + (-3)
Adding a positive and negative integer
Step 1: We need to add 5 and -3
Step 2: On number line, start at 0
Step 3: Move 5 steps to the right (for +5)
Step 4: Then move 3 steps to the left (for -3)
Step 5: Final position is 2
Step 6: 5 + (-3) = 2
Final Answer: 2
Q5: Subtract: 3 - (-2)
Subtracting a negative integer
Step 1: We need to calculate 3 - (-2)
Step 2: Subtracting a negative is the same as adding its positive
Step 3: 3 - (-2) = 3 + 2
Step 4: 3 + 2 = 5
Final Answer: 5
Q6: Arrange the integers in order from smallest to largest: -3, 2, -5, 0, 4
Ordering integers using number line
Step 1: Identify each integer: -3, 2, -5, 0, 4
Step 2: On a number line, leftmost numbers are smallest
Step 3: -5 is the smallest (farthest left)
Step 4: Then -3
Step 5: Then 0
Step 6: Then 2
Step 7: Then 4 (farthest right)
Step 8: Order: -5 < -3 < 0 < 2 < 4
Final Answer: -5, -3, 0, 2, 4
Showing 6 of 8 questions. Visit the full page for complete solutions.
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