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Topic starter
Can you derive an expression for all the numbers from 1 to 10 using only the digits 2, 0 , 1, and 7, and IN THAT ORDER?
Use any of the usual arithmetic symbols ( +, ÛÒ, x, /, ^ ) as you like, and in any order anywhere. Parentheses allowed too.
Only the 0, 1 and 7 can be used as exponents.
As an example, 12 can be expressed as (2+0)x(-1+7).
There is more than one solution for every number. How complicated can you make them?
Posted : January 3, 2017 3:51 pm
Topic starter
The simple answers:
1 = 2 + 0 -1^7
2 = 2 + (0x1x7)
3 = 2 + 0 + 1^7
4 = -2 + 0 -1 +7
5 = -2 + 0 + (1x7)
6 = (2x0) -1 + 7
7 = (2x0x1) + 7
8 = (2x0) + 1 + 7
9 = 2 + (0x1) + 7
10 = 2 + 0 + 1 + 7
Posted : January 4, 2017 8:38 pm
