Absolute Value and Opposite Integers worksheet with exercises on opposites, absolute values, and comparisons.

I'll solve this step by step, working through each section carefully.

Section A: Opposite Values

The opposite of a number is the same number with the opposite sign (positive becomes negative, negative becomes positive).

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

Section B: Absolute Values

The absolute value of a number is its distance from zero, always positive. The | | symbols mean "absolute value."

1) |-7| = 7
2) |-65| = 65
3) |-8| = 8
4) |-44| = 44
5) |-23| = 23
6) |-57| = 57
7) |96| = 96
8) |3| = 3

Section C: Comparisons

Let me work through each one carefully:

1) Opposite of |-12| vs Opposite of 12
- |-12| = 12
- Opposite of 12 = -12
- Opposite of |-12| = Opposite of 12 = -12
- So: -12 vs -12 → They are equal (=)

2) Absolute value of -6 vs Opposite of |-10|
- Absolute value of -6 = |-6| = 6
- |-10| = 10
- Opposite of |-10| = Opposite of 10 = -10
- So: 6 vs -10 → 6 > -10

3) Absolute value of 51 vs Absolute value of -87
- Absolute value of 51 = |51| = 51
- Absolute value of -87 = |-87| = 87
- So: 51 vs 87 → 51 < 87

4) Opposite of -92 vs Absolute value of 39
- Opposite of -92 = 92
- Absolute value of 39 = |39| = 39
- So: 92 vs 39 → 92 > 39

Final Answer:

A) Opposite values:
1) 11
2) 9
3) -72
4) -33
5) 45
6) 26
7) -68
8) -97

B) Absolute values:
1) 7
2) 65
3) 8
4) 44
5) 23
6) 57
7) 96
8) 3

C) Comparisons:
1) =
2) >
3) <
4) >