Let's solve each of these
integer multiplication word problems step by step, writing a
product expression for each situation and then solving it. Remember:
negative numbers represent losses, debts, or decreases, while positive numbers represent gains or increases.
---
1. Tina supports her favorite charity with an automatic deduction of $35/month from her bank account. Calculate the total of her deductions in a year?
-
Monthly deduction: $-35$ (negative because it's money being taken out)
-
Number of months in a year: 12
Expression:
$$
-35 \times 12
$$
Calculation:
$$
-35 \times 12 = -420
$$
✔ Answer: $-420$ dollars per year
➡️
Label: $-420 per year (This means she loses $420 in a year)
---
2. Duane instructs his bank to deduct $65 per month from his bank account and transfer the money into an investment account. What is the total of his deductions in 18 months?
-
Monthly deduction: $-65$
-
Time period: 18 months
Expression:
$$
-65 \times 18
$$
Calculation:
$$
-65 \times 18 = -1170
$$
✔ Answer: $-1170$
➡️
Label: $-1170 in 18 months
---
3. In a winter day in Paris the temperature was –4°C at 9 a.m. At dawn, radio announced that the temperature was three times colder. What was the temperature?
> Note: "Three times colder" is a bit ambiguous, but in math problems like this, it usually means
multiply the temperature by 3 (in absolute value), keeping the sign.
- Original temperature: $-4^\circ C$
- Three times colder → multiply by 3
But
"colder" implies more negative, so we do:
$$
-4 \times 3 = -12
$$
✔ Answer: $-12^\circ C$
➡️
Label: –12°C
> 💡 Explanation: If it's three times as cold, the temperature drops further below zero — so $-4 \times 3 = -12^\circ C$
---
4. Alicia owes $6 to each of 4 friends. How much money does she owe?
- Debt per friend: $-6$ (she owes money)
- Number of friends: 4
Expression:
$$
-6 \times 4 = -24
$$
✔ Answer: $-24
➡️
Label: $-24 total debt
> She owes $24 in total.
---
5. 8 times Demarco Murray was stopped for a loss of 2 yards. How many yards rushing did he have?
- Each time: loss of 2 yards → $-2$ yards
- Happened 8 times
Expression:
$$
-2 \times 8 = -16
$$
✔ Answer: $-16$ yards
➡️
Label: –16 yards rushing
> He lost 16 yards in total.
---
6. Chandler drives his car 20 miles round trip to work everyday. How many total miles does he drive to and from work in 5 days?
- Round trip per day: 20 miles (positive, since it's distance traveled)
- Days: 5
Expression:
$$
20 \times 5 = 100
$$
✔ Answer: $100$ miles
➡️
Label: 100 miles in 5 days
> Note: This is not an integer multiplication involving negatives, but still uses multiplication.
---
✔ Final Answers Summary:
| Problem | Expression | Answer | Label |
|--------|------------|--------|-------|
| 1 | $-35 \times 12$ | $-420$ | $-420 per year |
| 2 | $-65 \times 18$ | $-1170$ | $-1170 in 18 months |
| 3 | $-4 \times 3$ | $-12$ | $-12^\circ C$ |
| 4 | $-6 \times 4$ | $-24$ | $-24 total debt |
| 5 | $-2 \times 8$ | $-16$ | $-16 yards rushing |
| 6 | $20 \times 5$ | $100$ | $100 miles in 5 days |
---
💡
Key Concept:
When multiplying integers:
- Negative × Positive = Negative
- Negative × Negative = Positive
- Positive × Positive = Positive
And always
label your answers with units and context!
Let me know if you'd like this formatted as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of dividing integers word problems worksheet.
