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MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
1.5The DecimalNumber System
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To know the place values ofthe decimal number system.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
Digit(Face value) 1 7 6 4
Place value
1000 100 10 1Place value
103 102 101 100
1764
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
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
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
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
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
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
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
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
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
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
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
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
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.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
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
.
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
.
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
.
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
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
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
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
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
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
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.
