Day 2: Adding & Subtracting Integers | Middle Stage | Apex Institute of Maths and Sciences

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Day 2: Adding & Subtracting Integers | Middle Stage | Apex Institute of Maths and Sciences

Day 2: Adding & Subtracting Integers 🧮

Middle Stage (Grades 6, 7 & 8) | Apex Institute of Maths and Sciences

🎯 1. Concept: Math with Positives and Negatives

Welcome back! Yesterday we learned that Integers live on the number line. Today, we are going to learn how to add and subtract them. It can look confusing when you see lots of plus and minus signs together, but it becomes very easy if you think about Money and Debt.

  • Positive Numbers (+) = Money you HAVE in your pocket.
  • Negative Numbers (-) = Debt (money you OWE to someone else).

💡 2. The Golden Rules of Integers

Rule 1: Adding a Negative (Debt)
Think: You have ₹5, but you add a debt of ₹3.
Math: 5 + (-3) = 2. (It’s just like regular subtraction: 5 – 3 = 2).

Rule 2: Combining Debts
Think: You owe ₹4, and then you borrow ₹2 more. Your debt grows!
Math: -4 – 2 = -6.

Rule 3: Subtracting a Negative (The Double Minus!)
Think: Someone takes away a ₹3 debt you owed them. That’s a good thing! It’s like gaining money.
Math: 5 – (-3) = 8. (When you see two minus signs together, they combine into a PLUS: 5 + 3 = 8).

🌍 3. Math in Our Daily Life

Let’s look at how temperature changes using integers!

Scenario 1 (Dropping Temps): The temperature in Manali is 4°C. During the night, it drops by 7 degrees. What is the temperature now?
Calculation: 4 – 7 = -3°C.

Scenario 2 (Warming Up): The temperature in a freezer is -5°C. The power goes out, and it warms up by 5 degrees.
Calculation: -5 + 5 = 0°C (Exactly freezing point!).

📝 4. Application Tasks

Grab your math journal and try these real-world scenarios:

  • Task A: The Bank Account: You have a bank balance of -₹200 (you owe the bank). You deposit ₹500. Write the integer equation and find your new balance.
  • Task B: The Double Negative: Write down your own example of “Subtracting a Negative” (e.g., 10 – (-5)). Explain in your own words why it turns into addition.
  • Task C: The Elevator: Start at floor -2 (basement level 2). Go up 5 floors. What floor are you on now? Write the equation.

✅ 5. Day 2 Practice Test

Let’s put your new skills to the test! Select the correct answers below and click submit to check your score.

1. What is 5 + (-2)?
Solution: Adding a negative is the same as subtracting. 5 – 2 = 3.
2. What is -3 + (-4)?
Solution: You have a debt of 3, and add another debt of 4. Your total debt is 7. Answer is -7.
3. What is 8 – 10?
Solution: You have ₹8, but you spend ₹10. You are short by ₹2. Answer is -2.
4. What is -5 + 5?
Solution: If you owe ₹5 (-5) and you pay off ₹5 (+5), your balance is exactly 0.
5. What happens when you subtract a negative number? (e.g., – (-3) )
Solution: The “double negative” rule! Subtracting a debt is the same as gaining money, so it becomes a plus sign.
6. What is 4 – (-3)?
Solution: Two minus signs next to each other turn into a plus. 4 + 3 = 7.
7. What is -10 + 4?
Solution: Start at -10 on the number line and move 4 steps to the right. You land on -6.
8. The temperature is -2°C. It rises by 5°C. What is the new temperature?
Solution: -2 + 5 = 3. The temperature is now above freezing at 3°C.
9. What is -6 – 2?
Solution: You are already at -6, and you subtract 2 more (move further left). The answer is -8.
10. What is 0 – (-7)?
Solution: The double negative turns into a positive. 0 + 7 = 7!
⚠️ Please answer all 10 questions before submitting!
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52 thoughts on “Day 2: Adding & Subtracting Integers | Middle Stage | Apex Institute of Maths and Sciences”

    1. It is soo impressive that students are practicing math in their holidays and improving themselves and l have got 9 /10

      Reply

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