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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.B.5

Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) Examples: If 6 x 4 = 24 is known, then 4 x 6 = 24 is also known (commutative property of multiplication). 3 x 5 x 2 can be solved by (3 x 5) x 2 or 3 x (5 x 2) (associative property of multiplication). One way to find 8 x 7 is by using 8 x (5 + 2) = (8 x 5) + (8 x 2). By knowing that 8 x 5 = 40 and 8 x 2 = 16, then 8 x 7 = 40 + 16 = 56 (distributive property of multiplication over addition).

3.MD.C.7

Relate area of rectangles to the operations of multiplication and addition.

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