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10.10 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

MA.3.AR.1.1

Apply the distributive property to multiply a one-digit number and two-digit number. Apply properties of multiplication to find a product of one-digit whole numbers.

MA.3.GR.2.2

Find the area of a rectangle with whole-number side lengths using a visual model and a multiplication formula.

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