Step {{ currentStep + 1 }} of 4

Commutative Property

Order doesn't matter! Tap the tray to rotate.

🧁
Tap to rotate
$$ {{s1.r}} \times {{s1.c}} = {{s1.r * s1.c}} $$ $$ {{s1.c}} \times {{s1.r}} = {{s1.r * s1.c}} $$

Same amount, different order!

Associative Property

Group them differently, the total stays the same. Drag the parentheses to group numbers!

START HERE
( )
Drag to group
{{s2.a}}
×
{{s2.b}}
×
{{s2.c}}
$$ ({{s2.a}} \times {{s2.b}}) \times {{s2.c}} = {{s2.a * s2.b}} \times {{s2.c}} = {{s2.a * s2.b * s2.c}} $$
$$ {{s2.a}} \times ({{s2.b}} \times {{s2.c}}) = {{s2.a}} \times {{s2.b * s2.c}} = {{s2.a * s2.b * s2.c}} $$

Great grouping! Both ways work.

Distributive Property

Break big numbers into friendlier parts! Split the chocolate at {{s3.target}} columns.

Slide to split
$$ {{s3.r}} \times {{s3.c}} = ({{s3.r}} \times \color{#9a3412}{ {{s3.split}} }) + ({{s3.r}} \times \color{#f97316}{ {{s3.c - s3.split}} }) $$

Perfect split! 10 is a friendly number.

Pop the Missing Number!

Use the properties you learned to find the missing piece.

{{ s4.questions[s4.qIndex].prop }} Property
$$ {{ s4.questions[s4.qIndex].eq }} $$

Math Master!

You've unlocked the secrets of Multiplication Properties: Commutative, Associative, and Distributive!