Word Problems in Subtraction of Integers

 

Word Problems in Subtraction of Integers

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1. Solve the following word problems:

1. Temperature Drop:
   The temperature in a city was $15^\circ \text{C}$ in the morning. By midnight, it dropped to $-8^\circ \text{C}$.

   • What was the total decrease in temperature?

2. Depth Difference:
   A diver starts at a depth of $-5 \, \text{m}$ below sea level. He descends another $12 \, \text{m}$.

   • How far below sea level is the diver now?

3. Profit and Loss:
   A business had a profit of ₹7,000 in January. In February, it had a loss of ₹4,500.

   • What is the difference between the profit and loss?

4. Hiking Heights:
   A hiker starts at an elevation of $1,200 \, \text{m}$ above sea level and descends to $-300 \, \text{m}$.

   • What is the total change in elevation?

5. Bank Transactions:
   Ali had ₹2,500 in his bank account. He withdrew ₹3,800.

• What is the balance in his account after the withdrawal?

Think and Solve:

1. Stock Market:
   The price of a stock was ₹1,200 in the morning but dropped to ₹950 by the evening. The next day, the price decreased by ₹350 more.

   • What is the total decrease in the stock price over the two days?

2. Submarine Movement:
   A submarine was at $-350 \, \text{m}$ below sea level. It rose $200 \, \text{m}$ and then descended $150 \, \text{m}$ again.

   • What is the submarine's final position?

3. Game Scores:
   In a video game, Sarah scored $-15 \, \text{points}$ in the first round and $-25 \, \text{points}$ in the second round.

   • What is her total score after both rounds?

4. Temperature Changes:
   A mountain’s temperature is $-5^\circ \text{C}$ at night and rises to $7^\circ \text{C}$ by midday. Later, it drops to $-10^\circ \text{C}$.

   • What is the total change in temperature from midday to the final reading?

5. Debt Settling:
   Riya owes her friend ₹1,200. She repays ₹700 but borrows another ₹500 later.

• What is her current debt?

Challenge Problems:

1. A plane is flying at an altitude of $3,200 \, \text{m}$. It descends $1,500 \, \text{m}$, then rises $700 \, \text{m}$, and finally descends $1,600 \, \text{m}$.

   • What is its final altitude?

2. A miner is working at $-1,250 \, \text{m}$ in a mine. He ascends $750 \, \text{m}$ and then descends $1,200 \, \text{m}$.

   • What is his final depth?

3. A company’s profits were $₹4,500$ in the first quarter but $₹-2,000$ in the second quarter.

   • What is the difference in profits between the two quarters?