Add Absolute Value Game

Add Absolute Value Game
Remember the Sign Interactions
Inside Negatives: |-x| is just x.
Outside Negatives: -|x| is -x.
Double Negatives: -|-x| is -x.
Remember to process the absolute value bars before adding the results.
Scroll down the page for a more detailed explanation.
 
Check out these other Complex Numbers games:
Absolute Values (How far is it from 0?)
Absolute Values & Negative Signs (|-5|, -|5|, -|-5|)
Compare Absolute Values (use <,= or >)

Add Absolute Values (|6|+|-3|,|-7|+(-4))
Subtract Absolute Values (|5|-|-3|,|-7|-(-8))
Multiply Absolute Values (|8|·|-3|,|-4|·(-5))
Divide Absolute Values (|9|÷|-2|,|-7|÷(-3))
Absolute Values (Mixed Op) (+,-,×,÷)

 

 

How to play the “Add Absolute Value Game”

1. Choose your Challenge
   Level 1 |x|: Focuses on one single expression. Great for practicing the absolute value logic.
   Level 2 |x|+|y|: Introduces addition. You must solve two absolute value sets before combining them.
   Level 3 (Mixed Mode) |x|+(y): You will see terms like |-7| + (-3). Remember: the bars change the -7, but the parentheses do not change the -3.
   
   
2. The Two-Step Method
   Step 1: Simplify each absolute value term into a single number.
   

• Evaluate the distance from zero for each term.
  
• Remember: The result of an absolute value like |x| or |-x| is always positive.
  
• However, if there is a negative sign outside the bars (e.g., -|x|), that negative sign stays and makes the result negative.
  Step 2: Add the resulting numbers together.
  
• Once the bars are gone, use standard rules for adding positive and negative integers.
  
  

3. Worked Examples
   Example A: Standard Addition
   |-12| + |5|
   Evaluate |-12| = 12
   Evaluate |5| = 5
   Add: 12 + 5 = 17
   
   Example B: Negative Outside the Bars
   -|7| + |-3|
   Evaluate -|7| = -7
   Evaluate |-3| = 3
   Add: -7 + 3 = -4
   
   Example C: The “Mixed” Challenge
   |-10| + (-4)
   Evaluate |-10| = 10
   The number (-4) has no bars, so it stays -4.
   Add: 10 + (-4) = 6
    
   

This video gives a clear, step-by-step approach to add absolute values.

• Show Video

 

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