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Number Theory

Common Misconceptions (Number Theory)

Number Theory Common Misconceptions: Level 2 Challenges


What is the smallest prime number?

What is the value of \[\Large 0!\]

True or false:

The sum of two irrational numbers is always irrational.

\[\Large \color{red}{A} - \color{blue}{B} = \color{red}{A} \div \color{blue}{B}\]

If whole numbers \(\color{red}{A}\) and \(\color{blue}{B}\) satisfy this equation, then what is \(\color{red}{A} + \color{blue}{B}?\)

Bonus: Can you explain why there is only one solution?

Which of these statements are true?

(A). "\(1\) is a prime number"

(B). "\(0\) is neither even nor odd"

(C). "\(\sqrt{x^2}\) is always equal to \(x\)"

(D). "\(\dfrac{1}{4}\) is neither even nor odd"


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