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Transcript of Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this...
![Page 1: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/1.jpg)
Dividing Whole Numbers & Decimals
![Page 2: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/2.jpg)
• Long division is as simple as memorizing the people in this family.
Dad Mom Sister Brother
Rover
![Page 3: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/3.jpg)
• Each person represents a step in the long division process.
Dad
Mom
Sister
Brother
Rover
1. Divide
2. Multiply
3. Subtract
4. Bring down
5. Repeat orRemainder
![Page 4: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/4.jpg)
Step 1 in Long Division
• 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
![Page 5: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/5.jpg)
Step 2 in Long Division
• Multiply the divisor times 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. MultiplyMom
8
![Page 6: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/6.jpg)
Step 3 in Long Division
• 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
![Page 7: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/7.jpg)
Step 4 in Long Division
• 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
![Page 8: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/8.jpg)
Step 5 in Long Division
• 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
Rover
![Page 9: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/9.jpg)
Step 1 in Long Division
• 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
![Page 10: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/10.jpg)
Step 2 in Long Division
• 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
7Mom
1 4
![Page 11: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/11.jpg)
Step 3 in Long Division
• 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
![Page 12: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/12.jpg)
Step 4 in Long Division
• 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
![Page 13: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/13.jpg)
Step 5 in Long Division
• 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
Rover
![Page 14: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/14.jpg)
Step 1 in Long Division
• 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
![Page 15: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/15.jpg)
Step 2 in Long Division
• Multiply your divisor, 2, by your new number in the quotient, 3.
2 ) 9 4 742. Multiply
81 4
7
1 40 7• Place your answer under
the number you brought down, 7.
3Mom
6
![Page 16: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/16.jpg)
Step 3 in Long Division
• 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
![Page 17: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/17.jpg)
Step 4 in Long Division
• Look at your dividend to see if there are any more numbers to bring down.
2 ) 9 4 744. Bring
down
81 4
7
1 40 7
3
6• If not, move to step 5.
1
Brother
![Page 18: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/18.jpg)
Step 5 in Long Division
• Since there are no more numbers to bring down & 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
Rover
R1
![Page 19: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/19.jpg)
Dividing a Decimal by a Whole Number
• Place the decimal point in the quotient directly above the decimal point in the dividend.
• Divide as you normally would (DMSBR)
![Page 20: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/20.jpg)
Example
5 12.5. D
MSCB
2
1025
5
250
![Page 21: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/21.jpg)
Example 29 101.52.1
91 1
1
92 5
2
187 2
8
720
![Page 22: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/22.jpg)
Dividing a Decimal by a Decimal
• Move the decimal point in the divisor to the right, until you get to the end of the digits.
• Count how many places you moved that decimal.
• Move the decimal point in the dividend the same number of places to the right that you moved the decimal point in the divisor.
![Page 23: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/23.jpg)
Example
0.3 6.72
One space
03 67.2New problem
![Page 24: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/24.jpg)
3 67.2DMSCB
.2
607
2
61 2
4
1 20
![Page 25: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/25.jpg)
Example 23.2 2.24
32 22.4. 32
x 5160
32x 8
25632
x 7224
7
22 40
![Page 26: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/26.jpg)
Example 30.38 13.3
The decimal must be moved 2 spaces to the right.
When we move this one 2 spaces, we find that we need to add a space. What will we fill it with?
Answer: Fill it in with a 0. 13.3 becomes 1330
SO, our problem becomes 038 into 1330.
038 is the same as 38.
![Page 27: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/27.jpg)
38 133038
x 5190
38x 4152
38x 3114
3
114
190
5
1900
![Page 28: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/28.jpg)
Example 4
2.48 1.3392
248 133.92
![Page 29: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/29.jpg)
248 133.92.
248x 5
1240
248x 6
14885
124 099 2
248x 4992
4
9 920
![Page 30: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/30.jpg)
Terminating and Repeating Decimals
• A terminating decimal is a decimal that stops, or terminates.
• Examples: 1.25 or 0.892
• A repeating decimal is a decimal that has a repeating digit or a repeating group of digits.
• Examples: 1.3333… or .121212121…
• Repeating decimals usually have a bar across the repeating portion.
2.3
![Page 31: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/31.jpg)
6287
566
.0
.
0
7
564
0
0
5
400
Terminating decimal
![Page 32: Dividing Whole Numbers & Decimals. Long division is as simple as memorizing the people in this family. DadMomSisterBrother Rover.](https://reader035.fdocuments.net/reader035/viewer/2022062321/56649e375503460f94b276aa/html5/thumbnails/32.jpg)
56 .0. 8
4 82
0
0
3
18
2
0
0
3
182
This is a repeating decimal.
.83