Real number system (ℕ, ℕ₀, ℤ, ℚ, ℚ′)

Is $\sqrt{182}$ rational or irrational? Explain your answer.

Which number sets does $-\tfrac{9}{10}$ belong to? Consider natural numbers (ℕ), whole numbers (ℕ$_{0}$), integers (ℤ), rational numbers (ℚ) and irrational numbers (ℚ′).

Is 0,5 rational or irrational? Explain your answer.

Which number sets does 53 belong to? Consider natural numbers (ℕ), whole numbers (ℕ$_{0}$), integers (ℤ), rational numbers (ℚ) and irrational numbers (ℚ′).

Which of the following are integers? A) 0 B) $-\tfrac{1}{2}$ C) 0,2222… D) π E) $\sqrt{61}$

Which of the following are integers? A) 0,1111… B) $-\tfrac{1}{2}$ C) π D) $\tfrac{4}{5}$ E) 63

Which number sets does π belong to? Consider natural numbers (ℕ), whole numbers (ℕ$_{0}$), integers (ℤ), rational numbers (ℚ) and irrational numbers (ℚ′).

Is 0,1666… rational or irrational? Explain your answer.

Is 0,0909… rational or irrational? Explain your answer.

Which of the following are integers? A) $\sqrt{81}$ B) −166 C) 70 D) $-\tfrac{1}{4}$ E) 0,1111…

Is $\sqrt{105}$ rational or irrational? Explain your answer.

Which of the following are integers? A) π B) $\tfrac{1}{8}$ C) $\sqrt{100}$ D) 0,9 E) $-\tfrac{1}{6}$