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, so it's always non-negative.
For any number $ a $:
- $ |a| = a $ if $ a \geq 0 $
- $ |-a| = a $ if $ a > 0 $

So:
- $ |-x| = x $
- $ |x| = x $
- $ |0| = 0 $

#### ✔ Solutions:

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 (Expressions with Absolute Values)

Now we evaluate expressions involving absolute values and basic operations.

We’ll simplify each expression step by step.

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

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✔ Final Answers Summary:

#### 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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