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Make 100 0ut of the digits 123456789
Difficulty Level

Can you make 100 out of the sequence of non-zero digits 123456789 in order?

The problem is to place plus or minus signs between them so that the result of thus described arithmetic operation will be 100.

There are multiple Answers to this question. Some of the possible solutions are listed below. You can explore more and find other solutions.

123 + 45 - 67 + 8 - 9 = 100
123 + 4 - 5 + 67 - 89 = 100
123 - 45 - 67 + 89 = 100
123 - 4 - 5 - 6 - 7 + 8 - 9 = 100
12 + 3 + 4 + 5 - 6 - 7 + 89 = 100
12 + 3 - 4 + 5 + 67 + 8 + 9 = 100
12 - 3 - 4 + 5 - 6 + 7 + 89 = 100
1 + 23 - 4 + 5 + 6 + 78 - 9 = 100
1 + 23 - 4 + 56 + 7 + 8 + 9 = 100
1 + 2 + 34 - 5 + 67 - 8 + 9 = 100
1 + 2 + 3 - 4 + 5 + 6 + 78 + 9 = 100

Also if we have an option to put multiplication and division signs along with + and - , then there can be lot more solutions. Some are given below

123 + 4 * 5 - 6 * 7 + 8 - 9 = 100
12 + 34 + 5 * 6 + 7 + 8 + 9 = 100
12 + 34 - 5 + 6 * 7 + 8 + 9 = 100
12 + 34 - 5 - 6 + 7 * 8 + 9 = 100
12 + 34 - 5 - 6 - 7 + 8 * 9 = 100
12 + 3 + 4 - 56 / 7 + 89 = 100
12 + 3 * 45 + 6 * 7 - 89 = 100
12 + 3 * 4 + 5 + 6 + 7 * 8 + 9 = 100
12 + 3 * 4 + 5 + 6 - 7 + 8 * 9 = 100
12 + 3 * 4 - 5 - 6 + 78 + 9 = 100
12 - 3 + 4 * 5 + 6 + 7 * 8 + 9 = 100
12 - 3 + 4 * 5 + 6 - 7 + 8 * 9 = 100
12 - 3 - 4 + 5 * 6 + 7 * 8 + 9 = 100
12 - 3 - 4 + 5 * 6 - 7 + 8 * 9 = 100
12 * 3 - 4 + 5 - 6 + 78 - 9 = 100
12 * 3 - 4 - 5 - 6 + 7 + 8 * 9 = 100
12 * 3 - 4 * 5 + 67 + 8 + 9 = 100
12 / 3 + 4 * 5 - 6 - 7 + 89 = 100
12 / 3 + 4 * 5 * 6 - 7 - 8 - 9 = 100
12 / 3 + 4 * 5 * 6 * 7 / 8 - 9 = 100
12 / 3 / 4 + 5 * 6 + 78 - 9 = 100
1 + 234 - 56 - 7 - 8 * 9 = 100
1 + 234 * 5 * 6 / 78 + 9 = 100
1 + 234 * 5 / 6 - 7 - 89 = 100
1 + 23 - 4 + 56 + 7 + 8 + 9 = 100
1 + 23 - 4 + 56 / 7 + 8 * 9 = 100
1 + 23 - 4 - 5 + 6 + 7 + 8 * 9 = 100
1 + 23 * 4 + 56 / 7 + 8 - 9 = 100
1 + 23 * 4 + 5 - 6 + 7 - 8 + 9 = 100
1 + 23 * 4 - 5 + 6 + 7 + 8 - 9 = 100
1 + 2 + 34 * 5 + 6 - 7 - 8 * 9 = 100
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 * 9 = 100
1 + 2 + 3 - 45 + 67 + 8 * 9 = 100
1 + 2 + 3 - 4 * 5 + 6 * 7 + 8 * 9 = 100
1 + 2 + 3 * 4 - 5 - 6 + 7 + 89 = 100
1 + 2 + 3 * 4 * 56 / 7 - 8 + 9 = 100
1 + 2 + 3 * 4 * 5 / 6 + 78 + 9 = 100
1 + 2 - 3 * 4 + 5 * 6 + 7 + 8 * 9 = 100
1 + 2 - 3 * 4 - 5 + 6 * 7 + 8 * 9 = 100
1 + 2 * 34 - 56 + 78 + 9 = 100
1 + 2 * 3 + 4 + 5 + 67 + 8 + 9 = 100
1 + 2 * 3 + 4 * 5 - 6 + 7 + 8 * 9 = 100
1 + 2 * 3 - 4 + 56 / 7 + 89 = 100
1 + 2 * 3 - 4 - 5 + 6 + 7 + 89 = 100
1 + 2 * 3 * 4 * 5 / 6 + 7 + 8 * 9 = 100
1 - 23 + 4 * 5 + 6 + 7 + 89 = 100
1 - 23 - 4 + 5 * 6 + 7 + 89 = 100
1 - 23 - 4 - 5 + 6 * 7 + 89 = 100
1 - 2 + 3 + 45 + 6 + 7 * 8 - 9 = 100
1 - 2 + 3 * 4 + 5 + 67 + 8 + 9 = 100
1 - 2 + 3 * 4 * 5 + 6 * 7 + 8 - 9 = 100
1 - 2 + 3 * 4 * 5 - 6 + 7 * 8 - 9 = 100
1 - 2 - 34 + 56 + 7 + 8 * 9 = 100
1 - 2 - 3 + 45 + 6 * 7 + 8 + 9 = 100
1 - 2 - 3 + 45 - 6 + 7 * 8 + 9 = 100
1 - 2 - 3 + 45 - 6 - 7 + 8 * 9 = 100
1 - 2 - 3 + 4 * 56 / 7 + 8 * 9 = 100
1 - 2 - 3 + 4 * 5 + 67 + 8 + 9 = 100
1 - 2 * 3 + 4 * 5 + 6 + 7 + 8 * 9 = 100
1 - 2 * 3 - 4 + 5 * 6 + 7 + 8 * 9 = 100
1 - 2 * 3 - 4 - 5 + 6 * 7 + 8 * 9 = 100
1 * 234 + 5 - 67 - 8 * 9 = 100
1 * 23 + 4 + 56 / 7 * 8 + 9 = 100
1 * 23 + 4 + 5 + 67 - 8 + 9 = 100
1 * 23 - 4 + 5 - 6 - 7 + 89 = 100
1 * 23 - 4 - 56 / 7 + 89 = 100
1 * 23 * 4 - 56 / 7 / 8 + 9 = 100
1 * 2 + 34 + 56 + 7 - 8 + 9 = 100
1 * 2 + 34 + 5 + 6 * 7 + 8 + 9 = 100
1 * 2 + 34 + 5 - 6 + 7 * 8 + 9 = 100
1 * 2 + 34 + 5 - 6 - 7 + 8 * 9 = 100
1 * 2 + 34 - 56 / 7 + 8 * 9 = 100
1 * 2 + 3 + 45 + 67 - 8 - 9 = 100
1 * 2 + 3 + 4 * 5 + 6 + 78 - 9 = 100
1 * 2 + 3 - 4 + 5 * 6 + 78 - 9 = 100
1 * 2 + 3 * 4 + 5 - 6 + 78 + 9 = 100
1 * 2 - 3 + 4 + 56 / 7 + 89 = 100
1 * 2 - 3 + 4 - 5 + 6 + 7 + 89 = 100
1 * 2 - 3 + 4 * 5 - 6 + 78 + 9 = 100
1 * 2 * 34 + 56 - 7 - 8 - 9 = 100
1 * 2 * 3 + 4 + 5 + 6 + 7 + 8 * 9 = 100
1 * 2 * 3 - 45 + 67 + 8 * 9 = 100
1 * 2 * 3 - 4 + 5 + 6 + 78 + 9 = 100
1 * 2 * 3 - 4 * 5 + 6 * 7 + 8 * 9 = 100
1 * 2 * 3 * 4 + 5 + 6 + 7 * 8 + 9 = 100
1 * 2 * 3 * 4 + 5 + 6 - 7 + 8 * 9 = 100
1 * 2 * 3 * 4 - 5 - 6 + 78 + 9 = 100
1 * 2 / 3 + 4 * 5 / 6 + 7 + 89 = 100
1 / 2 * 34 - 5 + 6 - 7 + 89 = 100
1 / 2 * 3 / 4 * 56 + 7 + 8 * 9 = 100
1 / 2 / 3 * 456 + 7 + 8 + 9 = 100
1 / 2 / 3 * 456 + 7 + 8 + 9 = 100