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"Representation of Integers", which contains several word problems that require converting real-life situations into integers (positive or negative numbers). Since I can't view images directly, I’ll need you to provide the text of the problems or describe them so I can help solve and explain them.
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Worksheet: Representation of Integers
Instructions: Write an integer to represent each situation described below.
1. Jenna withdrew $80 from her bank account.
2. Harry adds 18 more toys to his collection.
3. Maria took 5 cookies to school and lost them all.
4. Lillian received $10 in pocket money from her dad.
5. Mr. Johnson was fined $15 as he failed to pay the telephone bill on time.
6. Annie's temperature rose by 3°C.
7. Danny distributed 10 cupcakes to his friends on Thanksgiving Day.
8. Jack's bank balance is $200.
9. Rochelle recorded a submarine's temperature at -21°C.
10. The company's hockey ball team lost their last 12 games in the final quarter of the season.
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Let me now
solve and explain each problem with appropriate integer representations.
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Solutions and Explanations
1.
Jenna withdrew $80 from her bank account.
→ Withdrawing means money is taken out, so it's a
decrease.
✔ Integer: -80
2.
Harry adds 18 more toys to his collection.
→ Adding means increase.
✔ Integer: +18 or simply
18
3.
Maria took 5 cookies to school and lost them all.
→ She had 5, but lost them — this is a loss or decrease.
✔ Integer: -5
4.
Lillian received $10 in pocket money from her dad.
→ Receiving money is a gain.
✔ Integer: +10 or
10
5.
Mr. Johnson was fined $15 as he failed to pay the telephone bill on time.
→ A fine is a financial penalty, meaning money is taken away.
✔ Integer: -15
6.
Annie's temperature rose by 3°C.
→ "Rose" means increased.
✔ Integer: +3
7.
Danny distributed 10 cupcakes to his friends on Thanksgiving Day.
→ Distributing means giving away, so he loses cupcakes.
✔ Integer: -10
8.
Jack's bank balance is $200.
→ This is a positive amount in his account.
✔ Integer: +200 or
200
9.
Rochelle recorded a submarine's temperature at -21°C.
→ Temperature is already given as negative.
✔ Integer: -21
10.
The company's hockey ball team lost their last 12 games in the final quarter of the season.
→ Losing games is a negative outcome.
✔ Integer: -12
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✔ Final Answers:
| Problem | Integer |
|--------|--------|
| 1 | -80 |
| 2 | +18 |
| 3 | -5 |
| 4 | +10 |
| 5 | -15 |
| 6 | +3 |
| 7 | -10 |
| 8 | +200 |
| 9 | -21 |
| 10 | -12 |
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🔍 Explanation Summary:
-
Positive integers (+) represent gains, increases, additions, or upward changes.
-
Negative integers (-) represent losses, decreases, subtractions, or downward changes.
- Context matters: "withdrew", "lost", "fined", "distributed", "dropped", etc., usually mean negative values.
- Temperature and balances are often directly represented as integers.
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Parent Tip: Review the logic above to help your child master the concept of free integer word problems worksheet.
