![Page 1: Decimal Division. Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfb71a28abf838c9f05a/html5/thumbnails/1.jpg)
Decimal Division
![Page 2: Decimal Division. Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfb71a28abf838c9f05a/html5/thumbnails/2.jpg)
Types of Decimal Division
1) Traditional2) Partial Quotients3) Fractional Notation
![Page 3: Decimal Division. Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfb71a28abf838c9f05a/html5/thumbnails/3.jpg)
Example 1: Traditional
• 2.07 ÷ 0.003
• The first decimal goes “in the house” (Dividend is the Den)
• The second decimal goes in front of the house
2.070.003
![Page 4: Decimal Division. Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfb71a28abf838c9f05a/html5/thumbnails/4.jpg)
Example 1: Traditional
Move the decimal point of each decimal until the divisor is a whole number, adding zeros to dividend if necessary
Estimate 2100 ÷ 3 = 700 Since all decimal points are at the end of the numbers,
divide normally – see next slide
2.070.003
2.07 3 00.00 ..
![Page 5: Decimal Division. Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfb71a28abf838c9f05a/html5/thumbnails/5.jpg)
Example 1: Traditional/Partial Quotients
2070 3 2070 36
-18 27
9
-27 00
0
00 0
600-1800 270-270 0
90____ 690
Both methods show an answer close to our estimate of 700
![Page 6: Decimal Division. Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfb71a28abf838c9f05a/html5/thumbnails/6.jpg)
Example 2: Traditional & Partial Quotients
Let’s try an example where a decimal point remains in the dividend (Den)
• 2.07 ÷ 0.3
• More decimal in divisor and dividend over 1 place.
• Estimate: 21 ÷ 3 = 7
2.07 0.3
20.7 3
![Page 7: Decimal Division. Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfb71a28abf838c9f05a/html5/thumbnails/7.jpg)
Example 2: Traditional
20.7 3. 1. Put decimal point
directly above theone in the Den.
2.Does 3 go into 2? No.
3.Does 3 go into 20?Yes.
0
-18 2
6
7
4.Does 3 go into 27?Yes.
-27 0
9
6.9 is close to our estimate of 7
![Page 8: Decimal Division. Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfb71a28abf838c9f05a/html5/thumbnails/8.jpg)
Example 2: Partial Quotients
20.7 31. Forget about decimal until the end.
3. Divide with benchmarks 3 x 50 = 150
5 0
3 x 10 = 30
-150 57 1 0
-30 27
3 x 9 = 27 9
-27 0
6 9
4. Since our estimate was 7, place decimal point between the 6 and the 9
Answer: 6.9
2. Estimate: 21 ÷ 3 = 7
![Page 9: Decimal Division. Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfb71a28abf838c9f05a/html5/thumbnails/9.jpg)
Example:
• Let’s try: 0.125 ÷ 0.05
• Move decimal point so that the divisor (0.05) is a whole number
• Estimate: 10 ÷ 5 = 2
• Try your method
5 12.5
![Page 10: Decimal Division. Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfb71a28abf838c9f05a/html5/thumbnails/10.jpg)
– What to do if there is a number leftover?
6.7 ÷ 0.21. Start the same…house/move decimal
points/make estimate
6.7 0.2
67 2 Estimate: 70/2 = 35
![Page 11: Decimal Division. Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation](https://reader036.vdocument.in/reader036/viewer/2022062519/5697bfb71a28abf838c9f05a/html5/thumbnails/11.jpg)
67 2 67 2
-6
-6 0
3
7
3
10
5
-10 0
03 0
-60 7 3
-6 1
0
0 5
-10 0
3 3 5
Estimate: 35Where does the decimal go?