Absolute Value Worksheets - Free Printable

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: This is the number with the same magnitude but opposite sign.
- Example: Opposite of 5 is -5; opposite of -3 is 3.

- Absolute value of a number: This is the distance of the number from zero on the number line, so it’s always non-negative.
- Example: |−4| = 4, |3| = 3, |0| = 0

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

We just change the sign.

1) 15 → -5 ✘ (Wait! This seems wrong. Let's check.)

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

Actually, that must be a typo or error in the sheet.

Because the opposite of 15 should be -15, not -5.

So likely, the first one is incorrectly shown as -5. But let's assume it's a mistake and proceed correctly.

Let me correct it:

> ✔ Opposite of 15 is -15

But since the sheet says "The first one is done for you" and shows 15 → -5, that is wrong.

So either:
- There's a typo in the worksheet, or
- It's meant to be something else?

Wait — maybe it's a trick? No, clearly 15 → -5 is incorrect.

Let’s assume the example is mistaken, and we’ll do all the opposites correctly.

Let’s go through them properly.

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✔ Part A: Opposites

| Number | Opposite |
|--------|----------|
| 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 |

✔ So the first one (15 → -5) is incorrect. It should be -15.

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✔ Part B: Absolute Value

| Expression | Absolute Value |
|-----------|----------------|
| 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) |-¾| = | ¾ = 0.75 |
| 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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✔ 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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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
12) 4.8 → -4.8
13) -¾ → ¾
14) 2½ → -2½
15) 1.9 → -1.9
16) -7.2 → 7.2

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

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Part 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) |-¾| = ¾
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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Part C: 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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📝 Summary of Key Concepts:

- Opposite: Flip the sign.
- Absolute value: Always positive (or zero), distance from zero.

Example:
- Number: -3.5
- Opposite: 3.5
- Absolute value: 3.5

✔ All answers are now filled correctly.

Let me know if you'd like this as a printable PDF or need explanations for any specific question!