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2.1
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January 24, 2014
2.1 Numeration Systems
Number--an idea that represents a quantity.
Number uses:
1.
2.
3.
Natural numbers =
Whole numbers =
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Historical Numeration Systems:
1. Tally System
2. Egyptian System
Ex 1 What are the values of these numbers?
(a) (b)
Positive Characteristics/Benefits:
Positive Characteristics/Benefits:
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3. Roman Numeral System
Positive Characteristics/Benefits:
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4. Babylonian Numeration System
Two examples:
(a)(b)
Positive Characteristics/Benefits:
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5. Mayan Numeration System
Two examples:
(a) (b)
Positive Characteristics/Benefits:
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6. Hindu-Arabic Numeration System (our current system)
Positive Characteristics/Benefits:
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Other BasesWe still have place value!!!
Base 5:
Ex Convert 125 to base 10.
Ex Convert 3415 to base 10.
Ex Convert 39 to base 5.
Ex Convert 401 to base 5.
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Convert these numbers to base 10.
(a) 10111012
(b) 12378
(c) 2ET12
(d) 6547
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Convert these numbers from base 10 to the indicated base.
(a) 76 to base 2
(b) 982 to base 4
(c) 131 to base 3
(d) 519 to base 8
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