IXL | Divide 2-digit by 1-digit numbers using the distributive property

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Learn with an example

question

Find

36

÷

3

.

Use the distributive property.

36

÷

3

=

(

30

÷

3

)

+

÷

3

=

+

2

=

key idea

Distributive property

Multiplying a sum by a number is the same as multiplying each addend and then adding the products. For example,

2

×

(

10

+

4

)

=

(

2

×

10

)

+

(

2

×

4

)

.

The distributive property works with division, too.

Dividing a sum by a number is the same as dividing each addend and then adding the quotients. For example,

(

10

+

4

)

÷

2

=

(

10

÷

2

)

+

(

4

÷

2

)

.

solution

Break apart the number to make it easier to divide. You can think of 36 as 30 + 6. Both 30 and 6 are easy to divide by 3.

36

÷

3

=

(

30

+

6

)

÷

3

Now, you can use the distributive property to divide.

(

30

+

6

)

÷

3

=

(

30

÷

3

)

+

(

6

÷

3

)

Divide the numbers inside each pair of parentheses. Then, add.

(

30

÷

3

)

+

(

6

÷

3

)

=

10

+

2

=

12

So,

36

÷

3

=

12

.

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