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Base 5 Calculation

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  • March 24, 2008
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Table of Contents
PREFACEiii
1.Introduction1
2.What is base 5 number1
3.How to read a Multiplication TABLE2
4.How to read an Addition TABLE3
5.Process of multiplying two base 5 number3
APPENDIX A: LIST OF FIGURES6
APPENDIX B: REFERENCE PAGE6

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PREFACE
Thanks the help of my professor Nancy Acemian and the students who contribute their ideas when I write this instruction. Wenjun zhu
February 2008

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1.Introduction

In reality, people use base 10 numbers quite often in different fields, such as shopping, calculation. However, a few people hear about base 5 number which is quite similar to base 10 number in the calculation. This set of instruction is to explain what is base 5 number and how to multiply a 3-digit positive base 5 number by a 2-digit positive base 5 number.

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2.What is base 5 number
Base 5 numbers are the representation of quantity with symbols which are written using only 0, 1, 2, 3, 4 digits.

3.How to read a Multiplication Table
Let’s understand how to read the Base 5 multiplication TABLE. This table is quite similar to the regular decimals multiplication table. Grey shade cells of the first row and first column are operands .The blue shade cell is the operation. In this case, the operation is multiplication. White shade cells are results which store the answer of two operands. Light red shade cell is the sample. Please see in Figure 3-1. x01234

000000
101234
20241113
303111422
404132231

Figure 3-1 Multiplication Table
For example:
2 × 4 = 13
Here you look at 2 and go across the row, then look at four and go down the column. Where they intersect, that is the answer.

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4.How to read an Addition Table
+01234
001234
1123410
22341011
334101112
4410111213

Figure 4-1 Addition Table
The rule to read figure 4-1 is the same as to read the figure 3-1. For example:
2 + 4 =...