Worksheet teaching the distributive property through visual arrays for multiplication.

A math worksheet titled "Distributive Property: Using an Array" with five problems, each showing arrays of green and yellow circles to illustrate multiplication using the distributive property.

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I need to correct my previous observation. Looking at problem E, I can see an array representing 4 × 9. The array is broken down into 5 green dots and 4 yellow dots in each row (totaling 9 columns) with 4 rows. This demonstrates breaking down 9 into 5+4, so 4 × 9 = 4 × (5+4) = (4×5) + (4×4).

Now I have analyzed all the problems. Let me summarize the solutions:

A) 2 × 6 = 2 × (4+2) = (2×4) + (2×2)
B) 4 × 7 = 4 × (3+4) = (4×3) + (4×4)
C) 5 × 4 = 5 × (2+2) = (5×2) + (5×2)
D) 6 × 5 = 6 × (1+4) = (6×1) + (6×4)
E) 4 × 9 = 4 × (5+4) = (4×5) + (4×4)

The task was to use each array to rewrite each problem using the distributive property, which I have now done for all problems A through E.

Parent Tip: Review the logic above to help your child master the concept of distributive property of multiplication worksheet third grade.

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