Logic
# Operator Search

\[ 2 \; \square \; 2 \; \square \; 2 \; \square \; 2 \; \square \; 2 \]

Fill in the blanks above with the mathematical operators \( + , - , \times , \div \).

What is the **smallest** possible resultant number?

\[\]
**Note:**

- You don't have to use all 4 mathematical operators.
- The answer can be a negative number.

\[ 5 \; \square \; 4 \; \square \; 3 \]

Using the operations of \( +, -, \times, \div \) and parenthesis as many times as you like, which of the following \( \color{red} { \text{cannot} } \) be a resultant number?

\[ 1 \; \square \; 2 \; \square \; 3 \]

Using the operations of \( +, -, \times, \div \) and parenthesis as many times as you like, is it possible to obtain a result of 4?

\[ 3 \; \square \; 3 \; \square \; 3 \; \square \; 3 \; \square \; 3 \]

Fill in the blanks above with the mathematical operators \( + , - , \times , \div \).

What is the **largest** possible resultant number?

\[\] Note: You don't have to use all 4 of those mathematical operators.

\[ 4 \; \square \; 3 \; \square \; 2 \]

Using the operations of \( +, -, \times, \div \) and parenthesis as many times as you like, is it possible to obtain a result of 10?