Area Model Division (Place Value)

Area Model Division (Place Value)

138 ÷ 6 = ___

Start by listing your multiplication facts for 6s

OR

Open your multiplication table.

138 ÷ 6 = ___

First we draw our rectangle for area model.

We are decomposing the number 138 by place value.

Think about how many places there are in our dividend.

Multiple Choice

How many parts will we draw for our area model?

^{We are splitting the model by place value.}

• 1

• 2

• 3

• 4

We are dividing a 3-digit number, so we need 3 places: hundreds, tens, and ones.

D.M.S.R.

It is time to Divide!

We have 1 hundred. We need to divide it between 6 groups. How much is 1 ÷ 6?

Multiple Choice

1 ÷ 6

^{You have 1 hundred to split between 6 groups. How many hundreds will each group get?}

• 0 hundreds

• 1 hundred

• 5 hundreds

• 6 hundreds

Not enough?

We only have 1 hundred.

There is not enough hundreds for all six groups.

D.M.S.R.

It is time to multiply!

But...

What do we multiply?

_{Hint: l x w = a}

Multiple Choice

This step is multiply.

What do we need to multiply?

• 6 x 0

• 6 x 1

• 6 x 2

6 x 0

We didn't give any hundreds to the 6 groups.

Were going to subtract to figure out how many hundreds we have left.

Multiple Choice

What subtraction will we do?

• 1 - 0 = 1

• 1 - 0 = 0

• 6 - 0 = 6

Multiple Choice

Why did we subtract? What information do we learn?

• To find out how many hundreds we have left.

• We do not subtract

• To get the final answer

R.

Regroup

After we subtracted, we learned that we still have 1 hundred left.

What do we do??

REGROUP!!

Multiple Choice

We had to regroup our hundred.

How many tens do we have now?

• 13

• 10

• 3

• 8

• 6

Multiple Choice

We are back at the Divide step.

What do we divide?

• 13 ÷ 6

• 6 ÷ 13

Multiple Choice

What is 13 ÷ 6?

If we have 13 tens, how much will each of the 6 groups get?

• 0

• 1

• 2

• 3

• 4

Multiple Choice

It's time to multiply.

What do we multiply?

• 6 x 2 = 12

• 0 x 2 = 0

• 6 x 13 = 78

• 13 x 2 = 26

Multiple Choice

Now, we subtract.

What do we subtract?

• 13 - 12 = 1

• 13 - 6 = 7

• 12 - 6 = 6

Multiple Choice

R stands for regroup.

What do we do here?

• The 1 ten becomes 10 ones. Now we have 18 ones.

• Leave the tens alone. Go to the ones place.

Multiple Choice

D.

Divide

What do we divide?

• 18 ÷ 6 = 3

• 18 ÷ 2 = 9

• 6 ÷ 2 = 3

Multiple Choice

M.

Multiply

What do we multiply?

• 6 x 3 = 18

• 3 x 18 = 54

• 2 x 3 = 6

• 20 x 3 = 60

Multiple Choice

S.

Subtract

What do we subtract?

• 18 - 18 = 0

• 23 - 18 = 5

R.

Regroup

Well... R usually stands for regroup.

However,

Now that we have reached the end, R stands for Remainder!

Multiple Choice

What is our final answer?

• 23

• 23 r. 10

• 23 r. 1