Absolute Value and Opposite Integers worksheet for practicing math concepts.

Worksheet titled "Absolute Value and Opposite Integers" with three sections: writing opposite values, writing absolute values, and comparing values using >, <, or =.

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## ✔ Part A: Write the opposite value of each integer.

> Opposite of a number means the number that is the same distance from 0 on the number line, but on the *other side*.
> So, the opposite of `x` is `-x`, and the opposite of `-x` is `x`.

1) Opposite of -11 → 11
2) Opposite of -9 → 9
3) Opposite of 72 → -72
4) Opposite of 33 → -33
5) Opposite of -45 → 45
6) Opposite of -26 → 26
7) Opposite of 68 → -68
8) Opposite of 97 → -97

✔ Answers for Part A:
1) 11
2) 9
3) -72
4) -33
5) 45
6) 26
7) -68
8) -97

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

> Absolute value of a number is its distance from 0 on the number line — it’s always non-negative (≥ 0).
> Notation: `|x|` = absolute value of x.

Also note: If there's a negative sign outside the absolute value bars, like `-|x|`, you compute the absolute value first, then apply the negative.

Let’s solve:

1) `-|-71|` → First, `|-71| = 71`, then `-71` → -71
2) `-|65|` → `|65| = 65`, then `-65` → -65
3) `|-8|` → Distance from 0 is 8 → 8
4) `|-44|` → 44
5) `-|23|` → `|23| = 23`, then `-23` → -23
6) `-|-57|` → `|-57| = 57`, then `-57` → -57
7) `|96|` → 96
8) `|3|` → 3

✔ Answers for Part B:
1) -71
2) -65
3) 8
4) 44
5) -23
6) -57
7) 96
8) 3

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## ✔ Part C: Compare the following using >, <, or =.

We need to simplify both sides first, then compare.

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