Divide Absolute Value Game

Divide Absolute Value Game
Just like addition and subtraction, the absolute value bars must be removed before you can calculate the final quotient.
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 “Divide 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 division. 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 Method
   The absolute value bars must be removed before you can calculate the final product.
   Step 1: Evaluate the first term. (e.g., |-20| = 20).
   Step 2: Evaluate the second term. (e.g., -|5| = -5).
   Step 3: Divide the results. (20 ÷ -5 = -4).
   
   
3. Mastering the Signs
   Once the bars are gone, the game becomes a test of your division sign rules.
   Positive ÷ Positive → Positive
   Negative ÷ Negative → Positive
   Positive ÷ Negative → Negative
   Negative ÷ Positive → Negative
   
   
4. Worked Examples
   Example A: Standard Division
   |-100| ÷ |-25|
   Evaluate |-100| = 100
   Evaluate |-25| = 25
   Divide: 100 ÷ 25 = 4
   
   Example B: Negative Outside the Bars
   -|40| ÷ |-8|
   Evaluate -|40| = -40
   Evaluate |-8| = 8
   Divide: -40 ÷ 8 = -5
   
   Example C: The “Mixed Mode” (Bars vs. Parentheses)
   |-18| ÷ (-3)
   Evaluate |-18| = 18
   The (-3) is in parentheses, not bars, so it stays -3.
   Divide: 18 ÷ -3 = -6
    
   

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

• Show Video

 

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