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Understanding Base 10 and Other Numeration Systems

Explore the concept of numeration systems, focusing on base 10, which organizes numbers in groups of tens. This foundational system is crucial for teaching students about place value, addition, subtraction, and decimals in the classroom. Additionally, discover the use of base four through positional notation, where numbers are represented by counting flats, longs, and units. Learn how to express numbers in different bases and the significance of this understanding in mathematics. Engage with virtual manipulatives to visualize these concepts better.

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Understanding Base 10 and Other Numeration Systems

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  1. Numeration Systems Using Bases

  2. What is base 10? • Base 10 numeration system groups numbers by 10’s. • Base 10 is used in classrooms to help students learn place value, addition, subtraction, decimal place, and many more other operations! • Has anyone seen a system other than base 10 used?

  3. Base Four

  4. 16 4 4 3 Positional Notation • We know this number is 27 by counting up the units but to write this in positional notation we record the number of flats, longs and units. • So how could we record this in positional notation?

  5. 16 4 4 3 The answer is….. • Well there is 1 flat, 2 longs and 3 units and we are using a base four system. • So we record 123 four

  6. Virtual Manipulative website • http://www.mhhe.com/math/ltbmath/bennett_nelson7e/DMK.html?initManip=numerationPieces

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