Integers and Absolute Value worksheets - Free Printable

Let's solve the problems step by step.

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Part 1: Solve (Find the absolute value)

The absolute value of a number is its distance from zero on the number line, regardless of direction. So:

- $|a| = a$ if $a \geq 0$
- $|a| = -a$ if $a < 0$

So for any negative number, the absolute value makes it positive. For zero and positive numbers, it stays the same.

#### Solve:

1) $|-11| = 11$
2) $|-7| = 7$
3) $|-2| = 2$
4) $|-19| = 19$
5) $|15| = 15$
6) $|0| = 0$
7) $|-3| = 3$
8) $|-18| = 18$
9) $|9| = 9$
10) $|-14| = 14$
11) $|19| = 19$
12) $|6| = 6$
13) $|16| = 16$
14) $|-17| = 17$
15) $|-6| = 6$
16) $|8| = 8$
17) $|20| = 20$
18) $|7| = 7$
19) $|10| = 10$
20) $|-16| = 16$
21) $|-5| = 5$

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Part 2: Evaluate (Addition with absolute values)

Now we evaluate expressions involving absolute values and addition.

We first compute the absolute values, then do the arithmetic.

#### Evaluate:

1) $-7 + |0| = -7 + 0 = -7$
2) $18 + |-3| = 18 + 3 = 21$
3) $-11 + |3| = -11 + 3 = -8$
4) $|4| + |-6| = 4 + 6 = 10$
5) $-13 + |9| = -13 + 9 = -4$
6) $|12| + |8| = 12 + 8 = 20$
7) $12 + |9| = 12 + 9 = 21$
8) $19 + |-4| = 19 + 4 = 23$
9) $|-17| + |1| = 17 + 1 = 18$
10) $-14 + |-8| = -14 + 8 = -6$
11) $-4 + |9| = -4 + 9 = 5$
12) $20 + |-3| = 20 + 3 = 23$
13) $|-16| + |-5| = 16 + 5 = 21$
14) $-15 + |1| = -15 + 1 = -14$
15) $13 + |-4| = 13 + 4 = 17$
16) $|20| + |-5| = 20 + 5 = 25$
17) $-10 + |-9| = -10 + 9 = -1$
18) $|-14| + |7| = 14 + 7 = 21$
19) $|-2| + |2| = 2 + 2 = 4$
20) $|-7| + |9| = 7 + 9 = 16$
21) $15 + |7| = 15 + 7 = 22$

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✔ Final Answers:

#### Solve:
1) 11
2) 7
3) 2
4) 19
5) 15
6) 0
7) 3
8) 18
9) 9
10) 14
11) 19
12) 6
13) 16
14) 17
15) 6
16) 8
17) 20
18) 7
19) 10
20) 16
21) 5

#### Evaluate:
1) -7
2) 21
3) -8
4) 10
5) -4
6) 20
7) 21
8) 23
9) 18
10) -6
11) 5
12) 23
13) 21
14) -14
15) 17
16) 25
17) -1
18) 21
19) 4
20) 16
21) 22

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