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## Arithmetic Puzzles

Arithmetic puzzles are Mad Libs for math: fill in the blanks with numbers or operations to make the equation true.

# Choosing Operations

What series of signs will make the following equation true: $2 \, \square \, 2 \, \square \, 2 \, \square \, 2 = -6?$

Which of the following series of signs will make the following equation true: $2 \, \square \, 2 \, \square \, 2 \, \square \, 2 = 4?$

What series of signs will NOT make the following equation true: $8 \, \square \, 8 \, \square \, 8 \, \square \, 8 = 0?$

How many different 3-tuples $$(\square,\triangle,\star)$$ of operators make the following equation true: $6 \, \square \, (3 \, \triangle \, 2)=1 \, \star \, 1?$

Details and Assumptions

• $$\square,\triangle,\star$$ can be one of the four arithmetic operators: $$+,-,\times,\div.$$
• One kind of operator can be used more than once.

What series of signs will NOT make the following equation true: $4 \, \square \, 4 \, \square \, 4 \, \square \, 4 = 16?$

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