Make 100 using 1,2,3,4,5,6,7,8, & 9 with only add, multiply and concatenate?

Question

Is it possible?  Give an example or prove impossible.

The rules.
1) You can only use each digit ONCE
2) EVERY digit (except 0) must be used.
3) You can concatenate digits to make multi-digit numbers.
4) Only the operations of addition and multiplication are allowed.

(I.E: 2 and 3 can be turned into 23 or 32 or 2+3 or 2×3)

Saikashyap · Accepted Answer

9*8+7+6+5+4+3+2+1=100

westman · Answer

@Ben: Ben is incorrect that makes ninety 9! (a million+2+3+4) x 5 (10 x 5) + 6 x 7 50 + 40 two + 8 = one hundred!!! yet too undesirable there's a 9 left... i'm attempting back. 2x3x4 = 24 5x6 = 30 24 + 30 = fifty 4 7x8 = fifty six fifty six - 9 = 40 5 fifty 4 + 40 5 = ninety 9 a million + ninety 9 = one hundred So I end: a million + 2 x 3 x 4 + 5 x 6 + 7 x 8 -9 Wow. I had some hardship on that.

Amba Prasanna · Answer

I know a few tricks...

(9)(8) + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 100

(1)(3)(8) + (7)(4) + (6)(5) + (9)(2) = 100

1 + 2 + 3 + 4 + 5 + 6 + 7 + (8)(9) =100

Anonymous · Answer

1*3*8+7*4+6*5+9*2=100

G-boy S.S. · Answer

1+2+3+4+5+6+7+(8X9)=100

Morewood · Answer

True, but I'm not sure that counts as significant progress. At least not without explanation.

Anonymous · Answer

it's impossible to do without using addition.
you'd keep coming to a sum of 99 or 108.

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Make 100 using 1,2,3,4,5,6,7,8, & 9 with only add, multiply and concatenate?

7 Answers