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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