Jill Jackson

Intermath

Algebra

Writeup 1

February 20, 2003

 

Problem-Using only the number 4 and the four basic operations (+,-,x,/) write all the numbers from 1 to 31.

 

Using the language of numbers to define numbers in terms of only 4 within the rules for the order of operations, I developed certain numbers that were always defined a certain way.

For example:

1=4/4

every time I needed create a number by using one(1), I would substitute my defining term using fours.

2= (4/4) + (4/4)

3=4- (4/4)

4=4+ (4-4)

5=4+ (4/4)

6= (4+4)-(4/4)- 4/(4)

7= (4+4)- 4/(4)

8= 4+4

9= (4+4) + (4/4)

10= (4+4) + (4/4)+(4/4)

11=(4+4) + 4-(4/4)

12= (4+4) + 4

13=(4+4) + 4 + (4/4)

14= (4*4)- (4/4)- (4/4)

15=(4*4)- (4/4)

16= 4*4

17=(4*4) + (4/4)

18=(4*4) + (4/4)+ (4/4)

19=(4*4) + 4- (4/4)

20= (4*4) +4

21=(4*4) +4 + (4/4)

22=(4*4) +4 + (4/4)+(4/4)

23=(4*4)+ (4+4)-(4/4)

24=(4*4)+ (4+4)

25=(4*4)+ (4+4)+(4/4)

26= (4*4)+ (4+4) + (4/4)+(4/4)

27= (4*4)+ (4+4) + 4-(4/4)

28= (4+4) + 4+ (4*4)

29= (4*4)+ (4*4)- 4- (4/4)

30= (4*4)+ (4*4) (4/4)- (4/4)

31= (4*4)+ (4*4) (4/4)