Absolute Value and Opposites worksheet for math practice.

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: A 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 — look at the first one:
> 1) 15 → -5

That seems incorrect. The opposite of 15 should be -15, not -5.

So likely a typo in the worksheet. Let’s assume it’s a mistake and proceed correctly.

✔ Correct opposite of 15 is -15

Let’s go through all:

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 incorrect. It should be 15 → -15. Probably a typo.

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## ✔ Part B: Write the absolute value of each number.

The absolute value is the non-negative version of the number.

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| = ½
11) |-¼| = ¼
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 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 |

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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 example "15 → -5" is wrong. 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| = ½
11) |-¼| = ¼
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:

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

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