- Hi I need help listing 10 different expressions equal to forty six, using the digits 2, 4, 5, 7, and 9.

Rules are:
•Can use any/all digits in a single expression. May not repeat any digits in any 1 expression. May use any mathematical operation that is valid, and not repeat the use of a digit in any form.
•At least 1 expression should use all 5 digits.
•At least 1 expression should use all 4 arithmetic operators (+, - , ×, ÷) at least once.
•1 expression might even use all 5 digits and all 4 operators.

Do various constraints need to be applied? Such as using integers only, the number of expressions listed, limiting choice of digits, or operations etc?

And is there a standard formula for working our equivalent expressions?

So far I have 4:

1.5 × 7 + 9 + 4 – 2 = 46
2.(9 squared) – 7 × 5 = 46
3.√9 × 7 × 2 + 4 = 46
4.9 × 5 + ( 7 – 2) – 4 = 46


Trouble working out "At least one expression should use all four arithmetic operators (+, - , ×, ÷) at least once" and "One expression might even use all five digits AND all four operators."


Thanks

Hello, kurdupel!


I found a few more . . .

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Soroban you're a champion! Thanks a lot.

- I'm really having trouble finding at least one expression using all four arithmetic operators (+, - , ×, ÷) at least once.......and one expression that uses all five digits AND all four operators.

Maybe this will help it easier but I;m having little success...One expression might even use all five digits ad all four operators. For example: If you have the digits 1, 3, 5, 8, and 2,and use them to write equivalent expressions for the number 24, you could write: 3 × 8, or 23 + 1, but you cannot write: 13 × 2 − 2, because the "2" is used twice in one expression.