# Can you reach 2020?

Start with the numbers 1,2,3,4,5,6,7,8,9,10 in that order and use the four common operations (+ − × ÷) and number concatenation (ie, you may write 123 concatenating 1, 2, 3) to obtain 2020.

Some clarifications:

• All the ten numbers must be used, in that order, without repetitions.
• Unary - is allowed; inserting decimal point is also allowed.
• Number 10 cannot be split as 1 0; it can of course be concatenated with 9 to obtain 910.
• Concatenation may only be applied to literal digits.
• Exponentiation is not allowed, even though it is written without any explicit operators.
• There seem to be many many solutions to this question. It might be worth considering some tighter restrictions. Dec 19, 2019 at 9:50
• In particular you should disallow concatenation
Dec 19, 2019 at 10:58
• I am not sure that there is a solution without concatenation.
– mau
Dec 19, 2019 at 14:42
• Can we use parentheses ?
Dec 19, 2019 at 22:03

Here's one way to do it if we disallow concatenation, division, unary and decimals

$$(((1-(2\times 3)+4+(5\times 6)) \times 7) +8 - 9) \times 10 = 2020$$

although there will be many others.

My two cents

(12*34)*5+6*7-8*9+10 = 2020

• Those brackets are not needed. :) Dec 19, 2019 at 10:15
• @sudhackar indeed, but it just helps me visually Dec 19, 2019 at 10:17

Here's some

12*34*5-6-7-8-9+10
123+45*6*7+8+9-10
12+34*5*6+78+910
1*2*34*5*6+7-8-9-10
1*23*45+67+8+910

$$((1+2) \div 3+45+67+89) \times 10 = 2020$$