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

Tutors, sign in to answer this question.

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.

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..

I edited the question. I think its a little more complicated. First day of high school and this is what I get!?!?

14=(1/.1)+1+1+1+1

15=11+1+1+1+1

16=(1+1+1+1)^(1+1)

17=(1+1)/(.1)-1-1-1

18=(1+1)/(.1)-1-(1/1)

19=(1+1)/(.1)-1+(1-1)

20=(1+1)/(.1)+1-(1/1)

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Cliff W.

Experienced educator/tutor in English,Humanities, ACT, Math, Science

$11.25 per 15 min

View Profile >

Philip P.

Effective and Affordable Math Tutor

$11.25 per 15 min

View Profile >

Lisa C.

Patient and Effective High School Math Tutor, Algebra + Precalculus

$11.25 per 15 min

View Profile >

## Comments