Using Integers in the Real World: Word Problems | Interactive ... - Free Printable
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Step-by-step solution for: Using Integers in the Real World: Word Problems | Interactive ...
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Step-by-step solution for: Using Integers in the Real World: Word Problems | Interactive ...
It seems you've uploaded a task involving word problems that require the use of integers to represent changes in various scenarios. Since the image itself isn't visible, I'll provide a general explanation and solution approach for each problem based on the descriptions you've provided.
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Description: The value of Titan Electronics' stock rose 3 points. Write an integer to represent the change in the stock's value.
Solution:
- A rise in value is represented by a positive integer.
- The change in the stock's value is +3.
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Description: The morning temperature in Crescent City is 8°F below zero. Write an integer to represent the morning temperature in Crescent City.
Solution:
- Below zero temperatures are represented by negative integers.
- The morning temperature is −8°F.
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Description: By the end of Melissa's soccer game, the team had scored 5 goals but also conceded 2 goals. Write an integer to represent the change in score.
Solution:
- Goals scored are positive, and goals conceded are negative.
- Change in score = Goals scored − Goals conceded = 5 − 2 = +3.
- The change in score is +3.
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Description: Rolf deposited a $50 gift from his aunt into his checking account. Write an integer to represent the change in the balance of Rolf's checking account.
Solution:
- Depositing money increases the account balance, which is represented by a positive integer.
- The change in the balance is +50.
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Description: Elvin visited a lake that had an elevation of 67 meters below sea level. Write an integer to represent the elevation of the lake.
Solution:
- Below sea level is represented by a negative integer.
- The elevation of the lake is −67 meters.
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Description: Serena is playing her favorite board game, where she earns 10 points for every question she answers correctly. In one game, she loses 10 points. Write an integer to represent the change in Serena's score when she draws a monster card.
Solution:
- Losing points is represented by a negative integer.
- The change in Serena's score is −10.
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Description: Enterprise Apparel advertised that all New Sweaters have a $10 discount this weekend. Write an integer to represent the change in the price of the sweaters.
Solution:
- A discount reduces the price, which is represented by a negative integer.
- The change in the price is −10.
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Description: At a fundraiser, the Lee family donated $300 to their local food bank. Write an integer to represent the change in the balance of the family's account after their donation.
Solution:
- Donating money decreases the account balance, which is represented by a negative integer.
- The change in the balance is −300.
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Description: During last night's tennis game, Ford gained 40 points for knowing the capital of Germany. Write an integer to represent the change in Ford's score after the question.
Solution:
- Gaining points is represented by a positive integer.
- The change in Ford's score is +40.
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Description: In the final minute of her cycling class, Dakota increased her cycling speed by 5 miles per hour. Write an integer to represent the change in Dakota's speed.
Solution:
- An increase in speed is represented by a positive integer.
- The change in Dakota's speed is +5.
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Description: Riley withdrew $15 from her savings account to buy a water-proof speaker for her kayaking trip. Write an integer to represent the change in the balance of Riley's account.
Solution:
- Withdrawing money decreases the account balance, which is represented by a negative integer.
- The change in the balance is −15.
---
Each problem involves representing changes using integers (positive for increases or gains, negative for decreases or losses). Here are the solutions summarized:
1. +3
2. −8
3. +3
4. +50
5. −67
6. −10
7. −10
8. −300
9. +40
10. +5
11. −15
$$
\boxed{+3, -8, +3, +50, -67, -10, -10, -300, +40, +5, -15}
$$
---
Problem 1:
Description: The value of Titan Electronics' stock rose 3 points. Write an integer to represent the change in the stock's value.
Solution:
- A rise in value is represented by a positive integer.
- The change in the stock's value is +3.
---
Problem 2:
Description: The morning temperature in Crescent City is 8°F below zero. Write an integer to represent the morning temperature in Crescent City.
Solution:
- Below zero temperatures are represented by negative integers.
- The morning temperature is −8°F.
---
Problem 3:
Description: By the end of Melissa's soccer game, the team had scored 5 goals but also conceded 2 goals. Write an integer to represent the change in score.
Solution:
- Goals scored are positive, and goals conceded are negative.
- Change in score = Goals scored − Goals conceded = 5 − 2 = +3.
- The change in score is +3.
---
Problem 4:
Description: Rolf deposited a $50 gift from his aunt into his checking account. Write an integer to represent the change in the balance of Rolf's checking account.
Solution:
- Depositing money increases the account balance, which is represented by a positive integer.
- The change in the balance is +50.
---
Problem 5:
Description: Elvin visited a lake that had an elevation of 67 meters below sea level. Write an integer to represent the elevation of the lake.
Solution:
- Below sea level is represented by a negative integer.
- The elevation of the lake is −67 meters.
---
Problem 6:
Description: Serena is playing her favorite board game, where she earns 10 points for every question she answers correctly. In one game, she loses 10 points. Write an integer to represent the change in Serena's score when she draws a monster card.
Solution:
- Losing points is represented by a negative integer.
- The change in Serena's score is −10.
---
Problem 7:
Description: Enterprise Apparel advertised that all New Sweaters have a $10 discount this weekend. Write an integer to represent the change in the price of the sweaters.
Solution:
- A discount reduces the price, which is represented by a negative integer.
- The change in the price is −10.
---
Problem 8:
Description: At a fundraiser, the Lee family donated $300 to their local food bank. Write an integer to represent the change in the balance of the family's account after their donation.
Solution:
- Donating money decreases the account balance, which is represented by a negative integer.
- The change in the balance is −300.
---
Problem 9:
Description: During last night's tennis game, Ford gained 40 points for knowing the capital of Germany. Write an integer to represent the change in Ford's score after the question.
Solution:
- Gaining points is represented by a positive integer.
- The change in Ford's score is +40.
---
Problem 10:
Description: In the final minute of her cycling class, Dakota increased her cycling speed by 5 miles per hour. Write an integer to represent the change in Dakota's speed.
Solution:
- An increase in speed is represented by a positive integer.
- The change in Dakota's speed is +5.
---
Problem 11:
Description: Riley withdrew $15 from her savings account to buy a water-proof speaker for her kayaking trip. Write an integer to represent the change in the balance of Riley's account.
Solution:
- Withdrawing money decreases the account balance, which is represented by a negative integer.
- The change in the balance is −15.
---
Final Answer:
Each problem involves representing changes using integers (positive for increases or gains, negative for decreases or losses). Here are the solutions summarized:
1. +3
2. −8
3. +3
4. +50
5. −67
6. −10
7. −10
8. −300
9. +40
10. +5
11. −15
$$
\boxed{+3, -8, +3, +50, -67, -10, -10, -300, +40, +5, -15}
$$
Parent Tip: Review the logic above to help your child master the concept of integer word problems worksheet.
