Absolute Value Worksheets - Free Printable

Let's solve each part of the worksheet step by step and explain the concepts.

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A) Opposite of Each Number

The opposite of a number is the number with the same magnitude but the opposite sign.
For example:
- The opposite of 15 is -15
- The opposite of -2 is +2

We are given:
> 1) 15 → -5 ✘ (This is incorrect — it should be -15)

Wait! The example says:
> 1) 15 → -5

That’s not correct. The opposite of 15 should be -15, not -5. This appears to be a mistake in the worksheet.

But since it says "The first one is done for you", we’ll assume it’s a typo, and likely meant to be:

> 1) 15 → -15

But as written, it shows 15 → -5, which is wrong.

So I will correct this error and proceed assuming that the first example is incorrect and should be:

> 1) 15 → -15

Now let's solve all:

#### 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 |

✔ Explanation: To find the opposite, just change the sign.

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B) Absolute Value

The absolute value of a number is its distance from zero on the number line, so it's always non-negative.

Rules:
- If the number is positive or zero, absolute value = the number
- If the number is negative, absolute value = the positive version

Examples:
- |-4| = 4
- |8| = 8
- |-0.5| = 0.5

#### B) Absolute Values

| Expression | Answer |
|-----------|--------|
| 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 |

✔ Explanation: Remove the negative sign if present; otherwise leave as is.

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C) Opposite and Absolute Value

We now fill in both the opposite and absolute value for each number.

#### 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 |

✔ Explanation:
- Opposite: flip the sign.
- Absolute value: make it positive (distance from zero).

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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

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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) |-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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#### C) Both 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 Concepts:

- Opposite: Flip the sign (e.g., opposite of -3 is 3).
- Absolute Value: Distance from zero → always non-negative (e.g., |-3| = 3, |3| = 3).

✔ All answers have been filled out correctly based on these rules.

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