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Division by One Digit Divisors. Allegra James and Larry Wershbale Media Design and Production ISTC 665. Dividing these 16 apples into 4 equal groups, gives you 4 groups that have 4 apples in each of the groups:                .

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division by one digit divisors

Divisionby One DigitDivisors

Allegra James and Larry Wershbale

Media Design and Production

ISTC 665

what are you doing when you divide
Dividing these 16 apples into 4 equal groups, gives you 4 groups that have 4 apples in each of the groups:

               

When you divide, you are trying to split something into equally numbered groups

Take these 16 apples:

               

What are you doing when you divide?
division by one digit divisors3
Division by One-digit Divisors
  • Today you will learn how to divide a three-digit dividend by a one-digit divisor, to get a quotient without a remainder
  • Let’s review these terms
what are the parts of a division problem
What are the parts of a division problem?
  • The dividend is the number you are dividing
  • The divisor is the number you are dividing by
  • The quotient is the evenly divided result
  • The remainder is what is left over that cannot be evenly divided
slide5

136 is the dividend

27 is the quotient

5 is the divisor

1 is the remainder

When we write the problem like this:136  5 = 27 r 1

slide6

1 is the remainder

r 1

27

5, the divisor, moves to here

27, the quotient,stays here

5

136

136, the dividend, moves here

When writing it like this:

how do you solve a division problem
Solving a division problem is a step by step process

The method we will learn today is based the words for the people in our families.

They are:

How do you solve a division problem?

Father Mother Sister Brother

the family method
Father=

Find

The “Family” Method

Mother=

Multiply

Sister=

Subtract

Brother=

Bring Down

father
Father
  • Father stands for find
  • Start by looking at the first number in the dividend
  • Find the multiple of the divisor that comes closest to that number, without going higher
  • Use your knowledge of math facts, or a multiplication grid
slide10

2

3

711

Father = find the number closet to the first digit

2

6

  • In the 3’s, the number closest to 7, but not more than 7, is 6
  • The other factor is 2
  • Put a 2 above the 7
slide11

2

6

3

711

Mother = multiply the number that is the factor that you found times the divisor

  • You found 2,multiply it times the divisor, 3
  • 2 times 3 equals 6

2 X 3 = 6

  • Put a 6 under the 7
slide12

2

6

3

711

Sister = subtract the number you got by multiplying the divisor, from the number in the dividend

  • You got a 6 when you multiplied
  • Subtract 6 from 7

1

  • 7–6 = 1
  • The difference must be smaller than the divisor!!!
slide13

2

6

3

711

1

Brother = bring down the next number, from the number in the dividend

1

  • Bring down the next number in the dividend

1

  • The new number you have is 11
  • Now start over again with Father for the ten’s
slide14

2

1

6

3

711

1

1

Now, let’s do the second step

3

  • Father: 9 is the closest multiple, the other factor you found is 3
  • Mother: 3 X 3 = 9, put a 9 under the 11

9

  • Sister: subtract 9 from 1111- 9 = 2

1

2

  • Brother: bring down the 1
slide15

3

2

1

6

3

711

1

9

1

1

2

Now, let’s do the last step

7

  • Father: 21 is the closest multiple, the other factor is 7
  • Mother: 7 X 3 = 21, put 21 under the 21
  • Sister: subtract 21 from 2121- 21 = 0

21

  • Brother: nothing’s left, you’re done!

0

slide16

4

864

Now, let’s practice!

2

2

  • Father

6

4

8

8

  • Mother

0

6

  • Sister
  • Brother
slide17

2

6

8

4

864

0

6

Now, let’s do the second step

1

  • Father

4

  • Mother

4

  • Sister

4

2

  • Brother
slide18

1

2

6

8

4

864

0

4

6

4

2

Now, let’s do the last step

6

  • Father
  • Mother
  • Sister

24

  • Brother

0

what do i do with division now
What do I do with division now?
  • Finish the rest of the worksheet
  • Homework: probs. 1-10, p. 64 in text
  • Go to this icon on the class’ computers for extra practice if you have free time
  • Look for the same icon on the class’ website for practice at home