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# Find three ways to write a mathematical expression that equals 100 using only the digits 1-9 and the

symbols +, -, /, x (times), ^ (exponent), (, ), and ! (factorial). You must use each of the nine digits exactly once, but the operations can be used as many or as few times as needed. Here's an example of moderate complexity: 2^7 - (4x6) + (9-8) - (5!/(3+1)!) = 100. Here's a simpler example: (128/4) + 67 + 9 - 5 - 3 = 100. There are many possible solutions and you can get pretty creative.

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### Best AnswerJim Bob (bubba-math) says

4 years ago
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• Jim Bob (bubba-math) 4 years ago

Found three more expressions:

(1+2+3+4)x((56/7)/8 + 9) = 100,

(((1+2)^3)x4 - 56/7)x(-8+9) = 100, and

123 - 45 - 67 + 89 = 100.

It was a nice challenge.

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4 years ago
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### I'M BANNED Y'ALL!!!!!!!!!!(tussin) says

4 years ago
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• TR Smith (calculus-geometry) 4 years ago

Well, you can always try to challenge yourself as you just did by restricting yourself to a smaller set of operations.

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