Question

question 3

to which number sets does \\(\pi\\) belong? select all that apply.

rational numbers
real numbers
irrational numbers
integers
natural numbers
whole numbers

question 4

to which number sets does \\(0.\overline{45}\\) belong? select all that apply.

Explanation:

Analyze Question 3

The number \(\pi\) is a non-terminating, non-repeating decimal.
Therefore, \(\pi\) is an irrational number and a real number.
It is not rational, an integer, a natural number, or a whole number.

Analyze Question 4

The number \(0.\overline{45}\) is a repeating decimal, which can be written as the fraction \(\frac{45}{99} = \frac{5}{11}\).
Therefore, \(0.\overline{45}\) is a rational number and a real number.
It is not irrational, an integer, a natural number, or a whole number.

Answer:

Question 3

• Rational numbers
• Real numbers (Correct answer)
• Irrational numbers (Correct answer)
• Integers
• Natural numbers
• Whole numbers

Question 4

• Rational numbers (Correct answer)
• Real numbers (Correct answer)
• Irrational numbers
• Integers
• Natural numbers
• Whole numbers