long division
DESCRIPTION
Objective: Students will master the algorithm for long division. Long Division. √. Long Division. Long division is as simple as memorizing the people in this family. Dad. Mother. Sister. Brother. Ruff!. Long Division. Each person represents a step in the long division process. - PowerPoint PPT PresentationTRANSCRIPT
√
Objective: Students will master the algorithm for long division
Long division is as simple as memorizing the people in this family.
Dad Mother Sister Brother
Ruff!
Each person represents a step in the long division process.
Dad
Mother
Sister
Brother
Ruff!
1. Divide
2. Multiply
3. Subtract
4. Bring down
5. Repeat orRemainder
Divide 2 into first number in the dividend.
2 ) 9 4 7
• Think how many 2’s will fit into 9.
4
How many 2’s will go into 9?
• Write that number directly above the number you divided into.
Dad
1. Divide
Multiply the divisor by the first number in the quotient.
2 ) 9 4 7
• Write your answer directly under the 9 or the number you just divided into.
4
2 x 4 = 8
2. Multiply
Mother
8
Draw a line under the 8.
2 ) 9 4 7
• Write a subtraction sign next to the 8.
43. Subtract
8Sister
• Subtract 8 from 9.
• Write your answer directly below the 8.
1
Go to the next number in the dividend to the right of the 9.
2 ) 9 4 7
• Write an arrow under the 4.
44. Bring down
8
• Bring the 4 down next to the 1.
1
Brother
4
This is where you decide whether you repeat the 5 steps of division.
2 ) 9 4 7
• If your divisor can divide into your new number, 14, or if you have numbers in the dividend that have not been brought down, you repeat the 5 steps of division.
45. Repeat or Remainder
81 4
Ruff!
Divide 2 into your new number, 14.
2 ) 9 4 7
• Place your answer directly above the 4 in your quotient.
41. Divide
81 4
Dad
7
Multiply your divisor, 2, with your new number in the quotient, 7.
2 ) 9 4 7
• Place your answer directly under the 14.
42. Multiply
81 4
7Mother
1 4
Draw a line under the bottom 14.
2 ) 9 4 7
• Draw a subtraction sign.
43. Subtract
81 4
7
1 4
Sister
• Subtract & place answer under the line.
0
Put an arrow under the next number, 7, in the dividend.
2 ) 9 4 7
• Bring the 7 down next to the 0.
44. Bring down
81 4
7
1 40
Brother
7
If the 2 will divide into your new number, 7, then repeat the steps of division.
2 ) 9 4 7
45. Repeat or Remainder
81 4
7
1 40 7
Ruff!
Divide your divisor, 2, into your new number, 7.
2 ) 9 4 7
41. Divide
81 4
7
1 40 7
Dad
• Place your answer in the quotient next to the 7.
3
Multiply your divisor, 2, by your new number in the quotient, 3.
2 ) 9 4 7
42. Multiply
81 4
7
1 40 7
• Place your answer under the number you brought down, 7.
3
Mother
6
Draw a line under the number 6.
2 ) 9 4 7
43. Subtract
81 4
7
1 40 7
• Place your subtraction sign.
3
6
Sister
• Subtract & put your answer directly under the 6. 1
Look at your dividend to see if there are any more numbers to bring down.
2 ) 9 4 7
44. Bringdown
81 4
7
1 40 7
3
6• If not, move to step 5. 1
Brother
Since there are no more numbers to bring down, and 2 will not divide into 1, you do not repeat the steps of division.
2 ) 9 4 7
45. Repeat or Remainder
81 4
7
1 40 7
3
6• The number left over, 1, becomes the remainder.
1
Ruff!
R1
SUCCESS!
EXTRA PRACTICE
WHAT IS 59 ÷ 3?
√ 5 931
32 9
9
2 72
r2
Dividend÷ Divisor= Quotient
3 19 = 5757 + 2 = 59
WHAT IS 87 ÷ 5?
√ 8 7
51
53 7
7
3 5
Dividend÷ Divisor= Quotient
2
.0
0
4
2 00
What is 870 ÷ 5?
WHAT IS 43 ÷ 4?
√ 4 3
41
40 3
0
0 0
Dividend÷ Divisor= Quotient
3
.0
0
7
2 82
0
0
5
2 00
What is 4,300 ÷ 400?
WHAT IS 927 ÷ 22?ROUNDED TO THE NEAREST 100TH
√ 9 2 7224
8 8 4 7
2
4 4
Dividend÷ Divisor= Quotient
3
.0
0
1
2 28
0
0
3
6 6 1 4
0
Why should you stop here?
WHAT IS 748 ÷ 35?ROUNDED TO THE NEAREST 100TH
√ 7 4 8352
7 0 4 8
1
3 5
Dividend÷ Divisor= Quotient
1 3
.0
0
3
1 0 52 5
0
0
7
2 4 5 5
1
Why should you stop here?
0
0
DIVIDING DECIMALS
WHAT IS 6.82 ÷ 1.5?
I’ll never be able to solve this!
Quit yer crying, laddie. It ain’t that hard.
WHAT IS 6.82 ÷ 1.5?
But what do I do?
GET RID OF THOSE DECIMALS!
What power of 10 can you multiplyBoth 6.82 and 1.5 by so that theybecome whole numbers?
10 6.82 = 68.2 10 1.5 = 15
100 6.82 = 682 100 1.5 = 150
6.82 ÷ 1.5 = 682 ÷ 150
WHAT IS 6.82 ÷ 1.5?
√6 8 21504
6 0 0 8 2
5
7 5 0
Dividend÷ Divisor= Quotient
6 0 0
.0
0
4
7 0
1 0 0
06
9 0 0
Do you see a pattern emerging?
0
0
0
1 0 0
Which of the following four expressions gives the same answer as 3.75 ÷ 2.23?
A. 3.75 ÷ 22.3B. 375 ÷ 223
C. 375 ÷ 22.3 D. 37.5 ÷ 223
answer
Which of the following four expressions gives the same answer as 9.589 ÷ 61.42?
A. 958.9 ÷ 614.2 B. 9,589 ÷ 6,142
C. 9,589 ÷ 61,420 D. 95.89 ÷ 6,142
answer
Which of the following four expressions gives the same answer as 711.37 ÷ 0.222?
A. 71,137 ÷ 222 B. 7,113.7 ÷ 2.22
C. 711,370 ÷ 222 D. 7.1137 ÷ 0.0022
answer
