How do I get the numbers one through 20 only using six '1's

Question

The integers from 1 to 20 can be represented by using six ones and the mathematical operations such as addition subtraction multiplication and division allowing for the use of parentheses exponents and decimals. Do not forget to follow the correct order of operations. Try to represent the Integers from 1 to 20 by using six '1's in the above conditions. 

Example 7 = (1+1) • (1+1+1) +1

 

 

Answer 1

I am not sure if this is a math problem or just a brain-twister but ...

How about doing something like this:

3-2, 2, 3, 4, 5, ... , 5+3+2, 20-9, 20-8, ... , 20-2, 5+5++9, 20

hopefully you get the idea.

I think I can do it with no ones.

Answer 2

1: 1/1+1-1+1-1

2: 1+1+1-1+1-1

3: 1/1+1+1+1-1

4: 1+1+1/1+1/1

5: 1+1+1+1+1/1

6: 1+1+1+1+1+1

7:  (1+1+1)*(1+1)+1

8:  (1+1+1+1)*(1+1)

9:  (1+1+1)*(1+1+1)

10: (1+1+1)^(1+1)+1

11:  11-11+11

12: 11+1/1

13: 11+1+1

14: (1110) base (1+1/1) 

15: (1111) base (1+1)

16: (1+1+1+1)^(1+1)

17: (101) base (1+1+1+1)

18: (10010) base (1/1+1/1)

19: (10011) base (1/1+1)

20: (10100) base (1/1+1/1)

 

You didn't say not to use zeros so I could use bases right?

 

That was fun..