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10.08 Distributive property using area

Interactive practice questions

We want to use the distributive property to rewrite $2\times19$2×19 as easier multiplications.

a

This diagram shows how $2$2 groups of $19$19 objects can be split up.



Use the diagram to fill in the blank to make the statement true.

$2\times19=2\times\left(10+\editable{}\right)$2×19=2×(10+)

b

Fill in the blanks to show how $2$2 groups of $\left(10+9\right)$(10+9) can be split up into smaller multiplications.

$2\times\left(10+9\right)=2\times10+2\times\editable{}$2×(10+9)=2×10+2×

Easy
1min

We want to use the distributive property to rewrite $4\times11$4×11 as easier multiplications.

Easy
1min

We want to use the distributive property to rewrite $9\times14$9×14 as easier multiplications.

Easy
1min

We want to use the distributive property to rewrite $5\times33$5×33 as easier multiplications.

Easy
1min
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Outcomes

3.OA.5

Demonstrate understanding of the properties of operations as strategies to multiply and divide.

3.MD.7

Relate area to the operations of multiplication and addition (refer to 3.OA.5).

3.MD.7.c

Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.

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