The Other Side of Zero
Short Answer Questions
1. What are positive numbers?
Answer: Numbers with a ‘+’ sign (or no sign) are called positive numbers. They represent values greater than zero.
2. What are negative numbers?
Answer: Numbers with a ‘–’ sign are called negative numbers. They represent values less than zero.
3. Is zero a positive or negative number?
Answer: No, zero is neither positive nor negative.
4. What are integers?
Answer: Integers are numbers including negative numbers, zero, and positive numbers.
Example: … –3, –2, –1, 0, 1, 2, 3 …
5. What is the additive inverse of a number?
Answer: The additive inverse of a number is a number which when added gives zero.
Example: The inverse of +5 is –5.
6. What is the result of (+3) + (–3)?
Answer: 0 (because they cancel each other)
7. Compare: –4 and –2.
Answer: –4 < –2 (because –4 is further left on the number line)
8. What is 0 + (–5)?
Answer: –5
9. What happens when we subtract a negative number?
Answer: Subtracting a negative number is the same as adding a positive number.
Example: 5 – (–3) = 5 + 3 = 8
10. What is (–2) + (+6)?
Answer: +4
Long Answer Questions
1. Starting from floor +2, you press –5. Where do you reach?
Solution:
Step 1: Identify starting floor = +2
Step 2: Movement = –5
Step 3: Apply formula:
Starting floor + Movement = Target floor
(+2) + (–5) = –3
Final Answer: You reach floor –3.
2. Evaluate: (+4) + (–7)
Solution:
Step 1: Numbers have different signs
Step 2: Subtract smaller number from bigger number
7 – 4 = 3
Step 3: Take sign of bigger number (–7) → negative
Final Answer: (+4) + (–7) = –3
3. Find the movement needed to go from floor –2 to floor +3.
Solution:
Step 1: Use formula:
Target – Starting = Movement
Step 2: Substitute values:
(+3) – (–2)
Step 3: Convert subtraction:
= 3 + 2 = 5
Final Answer: Movement needed = +5 (go up 5 floors)
4. Evaluate: (–5) – (–8)
Solution:
Step 1: Change subtraction into addition:
(–5) – (–8) = (–5) + (+8)
Step 2: Solve:
8 – 5 = 3
Step 3: Take sign of bigger number (+8)
Final Answer: (–5) – (–8) = +3
5. A bank account has the following transactions:
Credit ₹50, Debit ₹30, Debit ₹40, Credit ₹20. Find the final balance.
Solution:
Step 1: Represent credits as positive and debits as negative
+50 –30 –40 +20
Step 2: Add positives:
50 + 20 = 70
Step 3: Add negatives:
–30 – 40 = –70
Step 4: Total:
70 + (–70) = 0
Final Answer: Final balance = ₹0
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