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

ii

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

iii

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.

1

2

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.

3

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 =...

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

ii

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

iii

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.

1

2

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.

3

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 =...

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