Division by One Digit Divisors

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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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Presentation Transcript

Divisionby One DigitDivisors

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:

               

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 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?
• 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

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

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:

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

Father=

Find

The “Family” Method

Mother=

Multiply

Sister=

Subtract

Brother=

Bring Down

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

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

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

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!!!

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

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

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

4

864

Now, let’s practice!

2

2

• Father

6

4

8

8

• Mother

0

6

• Sister
• Brother

2

6

8

4

864

0

6

Now, let’s do the second step

1

• Father

4

• Mother

4

• Sister

4

2

• Brother

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?
• 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