Math worksheet focusing on absolute value and opposites, featuring exercises for students to practice identifying opposites and absolute values of various numbers.

Let's solve this step by step. The worksheet is about absolute value and opposites of numbers.

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🔹 Definitions:

- Opposite of a number: The number with the same magnitude but opposite sign.
- Example: Opposite of 5 is -5; opposite of -3 is 3.
- Absolute value: The distance of a number from zero on the number line, always non-negative.
- Example: |−4| = 4, |7| = 7, |0| = 0.

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## ✔ Part A: Write the opposite of each number.

We just change the sign.

1) 15 → -5 ✘ (Wait! This is wrong. It says 15 → -5, but that’s not correct.)

But wait — the example says:
15 → -5? That can't be right.

Actually, let's double-check:
If it says “15 → -5”, that would mean the opposite of 15 is -5, which is incorrect.
The opposite of 15 should be -15.

But maybe it's a typo in the image?

Wait — look again:
It says:
> 1) 15 → -5

That seems like a mistake.

But perhaps it's a typo — because if we assume the first one is meant to be an example, then 15 → -15, not -5.

But here it says 15 → -5 — that doesn’t make sense.

Wait — unless there’s a mistake in the problem.

Let me re-read:
> "The first one is done for you."

So they’ve written:
15 → -5

But that’s incorrect. The opposite of 15 is -15, not -5.

So likely, this is a typo in the worksheet.

But maybe I'm misreading?

Wait — could it be that the number is actually 5 and it's written as 15 by mistake?

No — it clearly says "15 → -5".

This must be an error.

But let’s assume it’s a typo and proceed with correct math.

✔ So, the opposite of a number is just changing the sign.

Let’s go through each one correctly.

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✔ Corrected Part A: Opposites

1) 15 → -15
2) -2 → 2
3) -8 → 8
4) 10 → -10
5) -7 → 7
6) 15 → -15
7) -0.5 → 0.5
8) 37 → -37
9) -2.5 → 2.5
10) 1.6 → -1.6
11) 0 → 0 (opposite of 0 is 0)
12) 4.8 → -4.8
13) -¾ → ¾
14) 2½ → -2½
15) 1.9 → -1.9
16) -7.2 → 7.2

> Note: The example given (15 → -5) is wrong. Should be 15 → -15.

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✔ Part B: Absolute Value

|Number|Absolute Value|
|------|---------------|
| |-4| = 4 |
| |8| = 8 |
| |-2| = 2 |
| |-17| = 17 |
| |11| = 11 |
| |-0.5| = 0.5 |
| |2.4| = 2.4 |
| |-3.2| = 3.2 |
| |1.7| = 1.7 |
| |½| = 0.5 |
| |-¼| = 0.25 |
| |-4.8| = 4.8 |
| |9.7| = 9.7 |
| |-7.1| = 7.1 |
| |39| = 39 |
| |-7.5| = 7.5 |

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✔ Part C: Fill in both Opposite and Absolute Value

#### Left Table:

| NUMBER | OPPOSITE | ABSOLUTE VALUE |
|--------|----------|----------------|
| 7 | -7 | 7 |
| -5 | 5 | 5 |
| -17 | 17 | 17 |
| 5.4 | -5.4 | 5.4 |

#### Right Table:

| NUMBER | OPPOSITE | ABSOLUTE VALUE |
|--------|----------|----------------|
| -2 | 2 | 2 |
| 2.5 | -2.5 | 2.5 |
| ¾ | -¾ | ¾ |
| -2½ | 2½ | 2½ |

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✔ Final Answers:

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A) Opposites

1) 15 → -15
2) -2 → 2
3) -8 → 8
4) 10 → -10
5) -7 → 7
6) 15 → -15
7) -0.5 → 0.5
8) 37 → -37
9) -2.5 → 2.5
10) 1.6 → -1.6
11) 0 → 0
12) 4.8 → -4.8
13) -¾ → ¾
14) 2½ → -2½
15) 1.9 → -1.9
16) -7.2 → 7.2

> ⚠️ Note: The first example (15 → -5) is incorrect. It should be 15 → -15.

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B) Absolute Values

1) |-4| = 4
2) |8| = 8
3) |-2| = 2
4) |-17| = 17
5) |11| = 11
6) |-0.5| = 0.5
7) |2.4| = 2.4
8) |-3.2| = 3.2
9) |1.7| = 1.7
10) |½| = 0.5
11) |-¼| = 0.25
12) |-4.8| = 4.8
13) |9.7| = 9.7
14) |-7.1| = 7.1
15) |39| = 39
16) |-7.5| = 7.5

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C) Opposite and Absolute Value

| NUMBER | OPPOSITE | ABSOLUTE VALUE |
|--------|----------|----------------|
| 7 | -7 | 7 |
| -5 | 5 | 5 |
| -17 | 17 | 17 |
| 5.4 | -5.4 | 5.4 |

| NUMBER | OPPOSITE | ABSOLUTE VALUE |
|--------|----------|----------------|
| -2 | 2 | 2 |
| 2.5 | -2.5 | 2.5 |
| ¾ | -¾ | ¾ |
| -2½ | 2½ | 2½ |

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✔ Summary of Key Concepts:

- Opposite: Flip the sign.
- Absolute Value: Distance from zero → always positive or zero.

> For any number $ x $:
> - Opposite = $ -x $
> - Absolute value = $ |x| = \begin{cases} x & \text{if } x \geq 0 \\ -x & \text{if } x < 0 \end{cases} $

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