multiplication = repeated addition

then, division = ___________

If…

Relate Subtraction to Division

If multiplication is repeated addition, then

division is repeated subtraction.

Let’s Model DivisionChris has $12 for the book fair. Each book he wants to buy cost $4. How

many books can Chris buy?

Let’s Model DivisionChris has $12 for the book fair. Each book he wants to buy cost $4. How

many books can Chris buy? 12- 4 8

Chris buys one book, spends $4, and has $8 left.

Can he buy another book?

$4

Let’s Model DivisionChris has $12 for the book fair. Each book he wants to buy cost $4. How

many books can Chris buy? 12- 4 8

Chris buys another book, spends another $4, and has $4 left.

Can he buy another book?

8- 4 4

$4

$4

Let’s Model DivisionChris has $12 for the book fair. Each book he wants to buy cost $4. How

many books can Chris buy? 12- 4 8

Chris buys another book, spends another $4, and has $0 left.

Can he buy another book?

8- 4 4

4- 4 0

$4

$4

$4

Let’s Model DivisionChris has $12 for the book fair. Each book he wants to buy cost $4. How

many books can Chris buy? 12- 4 8

Chris spent $4 three times. He subtracted $4 three times.

So, 12 ÷ 4 = 3. He can buy 3 books.

8- 4 4

4- 4 0

$4

$4

$4

Let’s Model Division AgainPedro has 15 books he wants to put equally on bookshelves. He has 3

bookshelves. How many books can go on each shelf?

Let’s Model Division AgainPedro has 15 books he wants to put equally on bookshelves. He has 3

bookshelves. How many books can go on each shelf?

15- 3

12

So far, he has put 1 book on each shelf. He has 12 books left. Can he put

another book on each shelf?

Let’s Model Division AgainPedro has 15 books he wants to put equally on bookshelves. He has 3

bookshelves. How many books can go on each shelf?

15- 3

12

So far, he has put 2 books on each shelf. He has 9 books left. Can he put

another book on each shelf?

12- 3 9

Let’s Model Division AgainPedro has 15 books he wants to put equally on bookshelves. He has 3

bookshelves. How many books can go on each shelf?

15- 3

12

So far, he has put 3 books on each shelf. He has 6 books left. Can he put

another book on each shelf?

12- 3 9

9- 3 6

Let’s Model Division AgainPedro has 15 books he wants to put equally on bookshelves. He has 3

bookshelves. How many books can go on each shelf?

15- 3

12

So far, he has put 4 books on each shelf. He has 3 books left. Can he put

another book on each shelf?

12- 3 9

9- 3 6

6- 3 3

Let’s Model Division AgainPedro has 15 books he wants to put equally on bookshelves. He has 3

bookshelves. How many books can go on each shelf?

15- 3

12

So far, he has put 5 books on each shelf. He has 0 books left. Can he put

another book on each shelf?

12- 3 9

9- 3 6

6- 3 3

3- 3 0

Let’s Model Division AgainPedro has 15 books he wants to put equally on bookshelves. He has 3

bookshelves. How many books can go on each shelf?

15- 3

12

Pedro can put 5 books on each shelf. The division sentence is 15 ÷ 3 = 5

12- 3 9

9- 3 6

6- 3 3

3- 3 0

Let’s use a Number LinePedro has 15 books he wants to put equally on bookshelves. He has 3

bookshelves. How many books can go on each shelf?

15- 3

12

12- 3 9

9- 3 6

6- 3 3

3- 3 0

Let’s use a Number LinePedro has 15 books he wants to put equally on bookshelves. He has 3

bookshelves. How many books can go on each shelf?

15- 3

12

12- 3 9

9- 3 6

6- 3 3

3- 3 0

Pedro can put 5 books on each shelf. The number line shows

15 ÷ 3 = 5

To write a division sentence from a repeated subtraction sentence…

To write a division sentence from a repeated subtraction sentence…

• The dividend is your total or starting number. 12

12 ÷

To write a division sentence from a repeated subtraction sentence…

• The dividend is your total or starting number. 12

• The divisor is the number you are subtracting. 2

12 ÷ 2

To write a division sentence from a repeated subtraction sentence…

• The dividend is your total or starting number. 12

• The divisor is the number you are subtracting. 2• Your quotient is how many times you subtracted

until you got to zero. 6

12 ÷ 2 = 6

1 2 3 4 5 6

How is division related to subtraction?

Exit TicketSolve the problem below using repeated subtraction:

18 ÷ 6 = __Solve the problem below using any strategy:

18 ÷ 2 = __