Operator Search
\[1 \ \boxed{\phantom{0}} \ 2 \ \boxed{\phantom{0}} \ 3 \ \boxed{\phantom{0}} \ 4 \ \boxed{\phantom{0}} \ 5\]
Use the mathematical operators \(+,-,÷,×\) exactly once to fill in the blank boxes. What is the maximum real value that can be obtained?
Give your answer to two decimal places.
by
Ashish Siva
Using only the 4 basic arithmetic operations (\( +, -, \times, \div\)), what is the largest possible value of
\[\large 1\, \square\, 2\,\square \,3\, \square \, 4 ? \]
by
Chung Kevin
\[\large 8 \ \Box \ 8 \ \Box \ 8 \ \Box \ 8 \ \Box \ 8 \ \Box \ 8\ \Box \ 8 \ \Box\ 8=1000\]
What is the minimum number of operators that can be filled in the boxes to make the equation above true?
Note: Boxes can be left blank to denote concetanation of adjacent digits
by
Lee Care Gene
\[\large{\begin{eqnarray} 1 &=& 44 \div 44 \\ 2 &=& 4 \times 4 \div (4 + 4 ) \\ 3 &=& (4 + 4 + 4) \div 4 \\ 4 &=& 4 + (4\times(4-4)) \\ 5 &=& (4 + (4\times4)) \div 4 \end{eqnarray}} \]
Above shows the first 5 positive integers formed by using the four mathematical operators (\(+ \ - \ \times \ \div\)) only on the digit 4 four times.
What is the smallest positive integer that cannot be represented using these conditions?
Note: You are allowed to join the digits together: \(44 + 44 \).
by
Pi Han Goh
\[\large 1 \; \underbrace{\square \; 2 \; \square \; \cdots \; \square \; n \; \square}_{n \text{ number of }\square\text{'s}} \; (n+1) = n+ 2 \]
What is the minimum value of the positive integer \(n>1\) such that we can fill in all the boxes above by using at least one of the four mathematical operators ( \(+, -, \times , \div \) ) and the equation holds true?
Note: Order of operations (BODMAS) applied.
by
Pi Han Goh