Monday, January 2, 2017

January 2, 2017 (Happy Birthday, Dad!):


Let's Celebrate 2017!

Make an expression for each number from 1 to 10 using the digits 2-0-1-7.

* In each expression, all four digits 2, 0, 1 and 7 must be used once each, and in the order 2, 0, 1, 7 from left to right.
* Use any of the four arithmetic operations +, -, x, / as many times as needed.
* You may use a negative sign in front of any number, even the 2.
* You may use parentheses to group calculations.
* You may use any of the last three digits as exponents.
For example, the number 12 can be made using (2+0) x (-1+7).


Can you make all 10 expressions from 1 to 10?



answers below (official plus what I came up with)...
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1= 2+0-1^7
2= 2+(0x1x7).    I came up with 2+0(1+7)
3= 2+0+(1^7)
4= -2+0-1+7
5= -2+0+(1x7).   My version: -2+(0x1)+7
6= (2x0)-1+7
7= (2x0x1)+7.    My version: 2(0x1)+7
8= (2x0)+1+7.    My version: 2+0-1+7
9= 2+(0x1)+7.    My version: 2/(0+1) +7
10= 2+0+1+7

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