Math1003 1.5 - Decimal Number System
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Transcript of Math1003 1.5 - Decimal Number System
![Page 1: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/1.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
1.5The DecimalNumber System
![Page 2: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/2.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To know the place values ofthe decimal number system.
![Page 3: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/3.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
![Page 4: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/4.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
![Page 5: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/5.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764
![Page 6: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/6.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
column
![Page 7: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/7.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
column
![Page 8: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/8.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
columntens
column
![Page 9: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/9.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
columntens
column
![Page 10: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/10.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
columntens
columnhundredscolumn
![Page 11: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/11.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
columntens
columnhundredscolumn
![Page 12: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/12.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
columntens
columnhundredscolumn
thousandscolumn
![Page 13: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/13.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
columntens
columnhundredscolumn
thousandscolumn
![Page 14: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/14.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
columntens
columnhundredscolumn
thousandscolumn
![Page 15: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/15.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
columntens
columnhundredscolumn
thousandscolumn
![Page 16: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/16.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
columntens
columnhundredscolumn
thousandscolumn
![Page 17: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/17.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
columntens
columnhundredscolumn
thousandscolumn
![Page 18: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/18.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764ones
columntens
columnhundredscolumn
thousandscolumn
The place values of the decimal number system are powers of 10.We say that the decimal number system has a base of 10.
![Page 19: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/19.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
![Page 20: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/20.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit(Face value) 1 3 5 9 2 4
Place value
1000 100 10 1 0.1 0.01Place value
103 102 101 100 10-1 10-2
.
![Page 21: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/21.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit(Face value) 1 3 5 9 2 4
Place value
1000 100 10 1 0.1 0.01Place value
103 102 101 100 10-1 10-2
.
![Page 22: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/22.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit(Face value) 1 3 5 9 2 4
Place value
1000 100 10 1 0.1 0.01Place value
103 102 101 100 10-1 10-2
.
![Page 23: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/23.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit(Face value) 1 3 5 9 2 4
Place value
1000 100 10 1 0.1 0.01Place value
103 102 101 100 10-1 10-2
.tenths
![Page 24: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/24.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit(Face value) 1 3 5 9 2 4
Place value
1000 100 10 1 0.1 0.01Place value
103 102 101 100 10-1 10-2
.tenths
![Page 25: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/25.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit(Face value) 1 3 5 9 2 4
Place value
1000 100 10 1 0.1 0.01Place value
103 102 101 100 10-1 10-2
.tenths hundredths
![Page 26: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/26.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit(Face value) 1 3 5 9 2 4
Place value
1000 100 10 1 0.1 0.01Place value
103 102 101 100 10-1 10-2
.tenths hundredths
![Page 27: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/27.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit(Face value) 1 3 5 9 2 4
Place value
1000 100 10 1 0.1 0.01Place value
103 102 101 100 10-1 10-2
.tenths hundredths
![Page 28: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/28.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit(Face value) 1 3 5 9 2 4
Place value
1000 100 10 1 0.1 0.01Place value
103 102 101 100 10-1 10-2
.tenths hundredths
![Page 29: Math1003 1.5 - Decimal Number System](https://reader034.fdocuments.us/reader034/viewer/2022052412/55895d1ed8b42a5e3f8b4608/html5/thumbnails/29.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit(Face value) 1 3 5 9 2 4
Place value
1000 100 10 1 0.1 0.01Place value
103 102 101 100 10-1 10-2
.tenths hundredths
Note that these arepowers of 10 as well.