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Division
by One Digit
Divisors
• Dividing these 16 apples
into 4 equal groups,
gives you 4 groups that
have 4 apples in each of
the groups:
       
       
What are you doing when
you divide?
• When you divide, you
are trying to split
something into equally
numbered groups
• Take these 16 apples:
       
       
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
When we write the problem
like this:
136  5 = 27 r 1
136
is the
dividend
5
is the
divisor
27
is the
quotient
1
is the
remainder
When writing it like this:
136, the
dividend,
moves here
5, the
divisor,
moves
to here
27, the
quotient,
stays
here
1 is the
remainder
136
5
27 r 1
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:
Father Mother Sister Brother
The “Family” Method
Father = Find
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
711
3
Father = find the number closet to the first digit
• In the 3’s, the number
closest to 7, but not
more than 7, is 6
• The other factor is 2
6
• Put a 2 above the 7
2
2
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
711
3
2
6
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
711
3
2
6
• 7 – 6 = 1
–
1
• The difference must be smaller than the divisor!!!
Brother = bring down the next number,
from the number in the dividend
• Bring down the next number in
the dividend
• The new number you have is 11
• Now start over again with Father for the ten’s
711
3
2
6
–
11
1
Now, let’s do the second step
• Father: 9 is the closest multiple,
the other factor you found is 3
• Mother: 3 X 3 = 9, put a 9 under
the 11
• Sister: subtract 9 from 11
11- 9 = 2
711
3
2
6
–
11
1
• Brother: bring down the 1
3
9
–
21
Now, let’s do the last step
• 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 21
21- 21 = 0
• Brother: nothing’s left, you’re done!
711
3
2
6
–
11
1
3
9
–
21
21
–
0
7
864
4
2
8
–
6
6
Now, let’s practice!
• Father
• Mother
• Sister
• Brother
0
2
4 8
Now, let’s do the second step
• Father
• Mother
• Sister
864
4
2
8
–
06
6
• Brother
1
4
–
24
4
Now, let’s do the last step
• Father
• Mother
• Sister
• Brother
864
4
2
8
–
06
6
1
4
–
24
24
–
0
6
• 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
What do I do with division now?

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divide.ppt

  • 2. • Dividing these 16 apples into 4 equal groups, gives you 4 groups that have 4 apples in each of the groups:                 What are you doing when you divide? • When you divide, you are trying to split something into equally numbered groups • Take these 16 apples:                
  • 3. 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
  • 4. 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
  • 5. When we write the problem like this: 136  5 = 27 r 1 136 is the dividend 5 is the divisor 27 is the quotient 1 is the remainder
  • 6. When writing it like this: 136, the dividend, moves here 5, the divisor, moves to here 27, the quotient, stays here 1 is the remainder 136 5 27 r 1
  • 7. 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: Father Mother Sister Brother
  • 8. The “Family” Method Father = Find Mother = Multiply Sister = Subtract Brother = Bring Down
  • 9. 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
  • 10. 711 3 Father = find the number closet to the first digit • In the 3’s, the number closest to 7, but not more than 7, is 6 • The other factor is 2 6 • Put a 2 above the 7 2 2
  • 11. 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 7 711 3 2 6
  • 12. 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 7 711 3 2 6 • 7 – 6 = 1 – 1 • The difference must be smaller than the divisor!!!
  • 13. Brother = bring down the next number, from the number in the dividend • Bring down the next number in the dividend • The new number you have is 11 • Now start over again with Father for the ten’s 711 3 2 6 – 11 1
  • 14. Now, let’s do the second step • Father: 9 is the closest multiple, the other factor you found is 3 • Mother: 3 X 3 = 9, put a 9 under the 11 • Sister: subtract 9 from 11 11- 9 = 2 711 3 2 6 – 11 1 • Brother: bring down the 1 3 9 – 21
  • 15. Now, let’s do the last step • 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 21 21- 21 = 0 • Brother: nothing’s left, you’re done! 711 3 2 6 – 11 1 3 9 – 21 21 – 0 7
  • 16. 864 4 2 8 – 6 6 Now, let’s practice! • Father • Mother • Sister • Brother 0 2 4 8
  • 17. Now, let’s do the second step • Father • Mother • Sister 864 4 2 8 – 06 6 • Brother 1 4 – 24 4
  • 18. Now, let’s do the last step • Father • Mother • Sister • Brother 864 4 2 8 – 06 6 1 4 – 24 24 – 0 6
  • 19. • 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 What do I do with division now?