Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**reconsideryouranswer****Member**- Registered: 2011-05-11
- Posts: 171

Form expressions (in three problems) that are equivalent to 100.

For each of these three problems, you must use all of the three

digits and no other digits.

Also, you are allowed only these:

concatenation of digits

decimal point

addition, subtraction, division**, multiplication signs

(and/or use grouping symbols for products)

grouping symbols such as parentheses, brackets, and braces

factorial symbol, and possible nesting of these is permitted

square root symbol, and nesting of these is also permitted

exponentiation

floor and ceiling functions

--------------------------------------------------------------------------

--------------------------------------------------------------------------

A) three 1s

------------------------

------------------------

B) three 2s

------------------------

------------------------

C) three 3s

------------------------

------------------------

*Last edited by reconsideryouranswer (2011-08-29 17:15:54)*

Signature line:

I wish a had a more interesting signature line.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,915

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

Offline

**reconsideryouranswer****Member**- Registered: 2011-05-11
- Posts: 171

*Last edited by reconsideryouranswer (2011-08-30 05:06:41)*

Signature line:

I wish a had a more interesting signature line.

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,000

hi

i think rya's soluton is better because it doesn't use digits other than 3 3s

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**reconsideryouranswer****Member**- Registered: 2011-05-11
- Posts: 171

anonimnystefy wrote:

hi

i think rya's soluton is better because it doesn't use digits other than 3 3s

anonimnystefy,

his solution does only use three 3s and no other digits.

That "100" is not part of it as a base; it is following the equals sign as

what his expression is equal to.

Let me know if that is what you were referring to, please.

Signature line:

I wish a had a more interesting signature line.

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,000

ye that was it.didn't know that there were two lines.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,000

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline