The document discusses the decimal number system. It explains that decimal numbers are composed of digits in different place values that are powers of ten, with the place value increasing by factors of ten from right to left. This place value system allows very large and small numbers to be represented. The document uses the numbers 1764 and 1359.24 to illustrate how digits in each place value (thousands, hundreds, tens, ones, tenths, hundredths) represent that value when multiplied by the corresponding power of ten.

1. 1.5
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
The Decimal
Number System
MATH1003

2. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To know the place values of
the decimal number system.
MATH1003

3. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
MATH1003

4. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
MATH1003

5. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

6. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
ones
column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

7. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
ones
column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

8. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
tens ones
column column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

9. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
tens ones
column column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

10. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
hundreds tens ones
column column column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

11. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
hundreds tens ones
column column column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

12. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
thousands hundreds tens ones
column column column column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

13. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
thousands hundreds tens ones
column column column column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

14. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
thousands hundreds tens ones
column column column column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

15. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
thousands hundreds tens ones
column column column column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

16. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
thousands hundreds tens ones
column column column column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

17. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
thousands hundreds tens ones
column column column column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
MATH1003

18. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1764
thousands hundreds tens ones
column column column column
Digit
(Face value) 1 7 6 4
1000 100 10 1
Place value
103 102 101 100
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

19. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
MATH1003

20. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit
(Face value) 1 3 5 9 . 2 4
1000 100 10 1 0.1 0.01
Place value
103 102 101 100 10-1 10-2
MATH1003

21. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit
(Face value) 1 3 5 9 . 2 4
1000 100 10 1 0.1 0.01
Place value
103 102 101 100 10-1 10-2
MATH1003

22. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
Digit
(Face value) 1 3 5 9 . 2 4
1000 100 10 1 0.1 0.01
Place value
103 102 101 100 10-1 10-2
MATH1003

23. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
tenths
Digit
(Face value) 1 3 5 9 . 2 4
1000 100 10 1 0.1 0.01
Place value
103 102 101 100 10-1 10-2
MATH1003

24. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
tenths
Digit
(Face value) 1 3 5 9 . 2 4
1000 100 10 1 0.1 0.01
Place value
103 102 101 100 10-1 10-2
MATH1003

25. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
tenths hundredths
Digit
(Face value) 1 3 5 9 . 2 4
1000 100 10 1 0.1 0.01
Place value
103 102 101 100 10-1 10-2
MATH1003

26. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
tenths hundredths
Digit
(Face value) 1 3 5 9 . 2 4
1000 100 10 1 0.1 0.01
Place value
103 102 101 100 10-1 10-2
MATH1003

27. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
tenths hundredths
Digit
(Face value) 1 3 5 9 . 2 4
1000 100 10 1 0.1 0.01
Place value
103 102 101 100 10-1 10-2
MATH1003

28. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
tenths hundredths
Digit
(Face value) 1 3 5 9 . 2 4
1000 100 10 1 0.1 0.01
Place value
103 102 101 100 10-1 10-2
MATH1003

29. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Decimal Number System
1359.24
tenths hundredths
Digit
(Face value) 1 3 5 9 . 2 4
1000 100 10 1 0.1 0.01
Place value
103 102 101 100 10-1 10-2
Note that these are
powers of 10 as well.
MATH1003