Math1003 1.5 - Decimal Number System

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.