how does drawing on a array help find different ways to decompose a number

Step-by-step explanation:

Breaking apart arrays is another effective strategy for students who are learning multiplication, and helps model distributive property.   For example: students usually learn their twos and their fives sooner than the larger times tables, so that when faced with a problem like 6 X 7, students can instead look at the 7 as a (5+2) instead.  Like this: 6 X (5+2) OR (6 X 2) + (6 X 5) = 12 + 30 = 42.  

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