MthT 430 Projects Chapter 1

1.

OE

Let the set of numbers OE consist of the two objects

{odd,even}

Here is a partial addition table:

+ (plus)         odd         even         odd         even                 even

2.

Fill in the rest of the table so that P1-P4 are satisfied for addition.

3.

Which element has the role of 0?

4.

Describe a mathematical, geometric, or physical model which would use this addition table.

Here is a partial multiplication table:

· (times)         odd         even         odd                         even

5.

Fill in the rest of the table so that P5-P8 are satisfied for multiplication.

6.

Which element has the role of 1?

7.

Is P9 satisfied?

8.

Is it possible to define a positive set P so that P10-P12 are satisfied?

LBN

Let the set of numbers LBN consist of the three objects

{Lincoln,Blinken,Nod}

Here is a partial addition table:

+ (plus)         Lincoln         Blinken         Nod         Lincoln         Blinken                         Blinken                                 Nod                         Nod

1.

Fill in the rest of the table so that P1-P4 are satisfied for addition.

2.

Which element has the role of 0?

3.

Describe a mathematical, geometric, or physical model which would use this addition table.

Here is a partial multiplication table:

· (times)         Lincoln         Blinken         Nod         Lincoln         Lincoln                         Blinken                                 Nod                         Nod

4.

Fill in the rest of the table so that P5-P8 are satisfied for multiplication.

5.

Which element has the role of 1?

6.

Is P9 satisfied?

7.

Is it possible to define a positive set P so that P10-P12 are satisfied?

FPS

Let the set of numbers FPS consist of the three objects

{F,P,S}

Here is a partial addition table:

+ (plus)         F         P         S         F         F                         P         P                         S         S                 P

1.

Fill in the rest of the table so that P1-P4 are satisfied for addition.

2.

Which element has the role of 0?

3.

Describe a mathematical, geometric, or physical model which would use this addition table.

Here is a partial multiplication table:

* (times)         F         P         S         F         S                         P         F         P                 S         P                 F

4.

Fill in the rest of the table so that P5-P8 are satisfied for multiplication.

5.

Which element has the role of 1?

6.

Is P9 satisfied?

7.

Is it possible to define a positive set P so that P10-P12 are satisfied?

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On 10 Aug 2007, 09:45.