Negative Numbers Word Problems

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Question 1 of 5

A car is sold for

$ 18995

$$18995$ . If it drops in value by

$ 195

$$195$ per month, what would the value of the car be after

6

$6$ months?

$$$ $$$ (17825)

Question 2 of 5

The price of a new high-definition television decreases by

$ 30

$$30$ per week. If the starting price was

$ 2900

$$2900$ , what would its value be after

12

$12$ weeks?

$$$ $$$ (2540)

Question 3 of 5

3. Question
What would be the change in temperature from inside a cabin with a temperature of $27°C$ to a snowy outside with a temperature of $-5°C$ ?
- (-32) $°C$
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Rules for Adding and Subtracting Integers

The change of temperature would be the difference between the cabin’s temperature $(C_T)$ and the outside temperature $(O_T)$

$O_T$ $=$ $-5$

$C_T$ $=$ $27$

$\text(Change of Temperature)$ $=$ $O_T$ $-$ $C_T$

$=$ $-5$ $-$ $27$

$=$ $-32$ Recall,

$-32°C$
Question 4 of 5

4. Question
What would be the difference in height from a submarine at a depth of $390 \text(m)$ below sea level and a drone flying at $4500 \text(m)$ above sea level?
- (4890) $\text(m)$
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Rules for Adding and Subtracting Integers

The difference in height would be the difference between the drone’s height and the submarine’s depth

$\text(Drone’s Height)$ $=$ $4500$

$\text(Submarine’s Depth)$ $=$ $-390$

$\text(Difference in Height)$ $=$ $\text(Drone’s Height)$ $-$ $\text(Submarine’s Depth)$

$=$ $4500$ $-$ $-390$

$=$ $4890$ Recall,

$4890 \text(m)$

Question 5 of 5

On the ground, a hot air balloon has a temperature of

$25°C$ . If the temperature drops by

$-1°C$ every

$500 \text(ft)$ , what would be the temperature of the hot air balloon at

$14 000 \text(ft)$ above the ground?

(-3) $°C$

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Rules for Multiplying Integers

First, find the total temperature drop by multiplying the temperature drop to the quotient of the total height and height per temperature drop.

$\text(Total Height)$	$=$	$14 000$
$\text(Height per Temperature Drop)$	$=$	$500$
$\text(Temperature Drop)$	$=$	$-1$

$\text(Total Temperature Drop)$	$=$	$\frac{\color{#9a00c7}{\small{\text{Total Height}}}}{\color{#e65021}{\small{\text{Height per Temperature Drop}}}}\times\color{#004ec4}{\small{\text{Temperature Drop}}}$

$\text(Total Temperature Drop)$	$=$	$\frac{\color{#9a00c7}{14\;000}}{\color{#e65021}{500}}\times\color{#004ec4}{-1}$

	$=$	$28times-1$
	$=$	$-28$	Recall,

Finally, add the total temperature drop from the balloon’s ground temperature.

$\text(Ground Temperature)$	$=$	$25$
$\text(Total Temperature Drop)$	$=$	$-28$

$-3$

$\text(Ground Temperature)$ $+$ $\text(Total Temperature Drop)$	$=$	$25+$ $-28$
	$=$

$-3°C$

$Price Change per Month$ $\text(Price Change per Month)$	$=$ $=$	$- 195$ $-195$
$Number of Months$ $\text(Number of Months)$	$=$ $=$	$6$ $6$

$Total Price Drop$ $\text(Total Price Drop)$	$=$ $=$	$Price Change per Month$ $\text(Price Change per Month)$ $\times$ $times$ $Number of Months$ $\text(Number of Months)$
	$=$ $=$	$- 195$ $-195$ $\times$ $times$ $6$ $6$
	$=$ $=$	$- 1170$ $-1170$	Recall,

$Initial Price$ $\text(Initial Price)$	$=$ $=$	$18995$ $18 995$
$Total Price Drop$ $\text(Total Price Drop)$	$=$ $=$	$- 1170$ $-1170$

$Initial Price -$ $\text(Initial Price) -$ $Total Price Drop$ $\text(Total Price Drop)$	$=$ $=$	$18995 -$ $18 995-$ $1170$ $1170$
	$=$ $=$

$Price Change per Month$ $\text(Price Change per Month)$	$=$ $=$	$- 30$ $-30$
$Number of Months$ $\text(Number of Months)$	$=$ $=$	$12$ $12$

Negative Numbers Word Problems

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Quiz summary

Information

1. Question

Hint

Great Work!

Rules for Multiplying Integers

2. Question

Hint

Correct!

Rules for Multiplying Integers

3. Question

Hint

Keep Going!

Rules for Adding and Subtracting Integers

4. Question

Hint

Fantastic!

Rules for Adding and Subtracting Integers

5. Question

Hint

Excellent!

Rules for Multiplying Integers

Quizzes

$Initial Price$ $\text(Initial Price)$	$=$ $=$	$2900$ $2900$
$Total Price Drop$ $\text(Total Price Drop)$	$=$ $=$	$- 360$ $-360$

$Initial Price -$ $\text(Initial Price) -$ $Total Price Drop$ $\text(Total Price Drop)$	$=$ $=$	$2900 -$ $2900-$ $360$ $360$
	$=$ $=$	$2540$ $2540$

$\text(Change of Temperature)$	$=$	$O_T$ $-$ $C_T$
	$=$	$-5$ $-$ $27$
	$=$	$-32$	Recall,

$\text(Drone’s Height)$	$=$	$4500$
$\text(Submarine’s Depth)$	$=$	$-390$

$\text(Difference in Height)$	$=$	$\text(Drone’s Height)$ $-$ $\text(Submarine’s Depth)$
	$=$	$4500$ $-$ $-390$
	$=$	$4890$	Recall,

$O_T$	$=$	$-5$
$C_T$	$=$	$27$