Real World Applications of Positive and Negative Numbers ... - Free Printable

Problem Analysis:

The image contains a worksheet titled "Positive & Negative Numbers". The task involves solving questions related to positive and negative numbers and interpreting situations involving integers. Below, I will solve each problem step by step.

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Section 1: Questions on Positive and Negative Numbers

#### Question 1:
> A comment on an online assignment says "-10 points." What happens to the score according to the comment?
>
> - a. It decreases by 10 points.
> - b. It stays the same.
> - c. It increases by 10 points.

Solution:
- The comment mentions "-10 points," which indicates a deduction or decrease in the score.
- Therefore, the correct answer is:
a. It decreases by 10 points.

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#### Question 2:
> The lowest temperature recorded in Australia is -23°C. Which of the situations describes that scenario?
>
> - a. Below 0°C
> - b. At 0°C
> - c. Above 0°C

Solution:
- The temperature -23°C is below 0°C because negative values are less than zero.
- Therefore, the correct answer is:
a. Below 0°C

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#### Question 3:
This question is partially cut off in the image, so I cannot provide a solution for it. Please provide the complete question if you need help with it.

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Section 2: Interpreting Tables with Integers and Situations

#### Question 5:
The table relates integers to situations. We need to fill in the missing situation for the integer "0".

| Integer | Situation |
|---------|-------------------------------------|
| -10 | A football team loses 10 metres |
| 10 | A football team gains 10 metres |
| 0 | ? |

Solution:
- The integer "0" represents a neutral or unchanged state.
- In the context of a football team's movement, "0" means there is no gain or loss in metres.
- Therefore, the situation for "0" can be described as:
"The football team neither gains nor loses metres."

Completed table:
| Integer | Situation |
|---------|-------------------------------------|
| -10 | A football team loses 10 metres |
| 10 | A football team gains 10 metres |
| 0 | The football team neither gains nor loses metres. |

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#### Question 6:
The table relates integers to situations. We need to fill in the missing integer for the given situation.

| Integer | Situation |
|---------|-------------------------------------|
| 15 | Marley earned $15 by weeding the garden |
| ? | Marley spent $15 when |

Solution:
- The situation "Marley spent $15" indicates a negative change in money.
- Spending money is represented by a negative integer.
- Therefore, the integer for this situation is:
-15

Completed table:
| Integer | Situation |
|---------|-------------------------------------|
| 15 | Marley earned $15 by weeding the garden |
| -15 | Marley spent $15 when |

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Final Answers:

1. a. It decreases by 10 points.
2. a. Below 0°C
3. (Incomplete question; please provide full details.)
5. The football team neither gains nor loses metres.
6. -15

Boxed Final Answer:
\[
\boxed{a, a, \text{(incomplete), "The football team neither gains nor loses metres.", -15}}
\]