Identify the MOST SPECIFIC set to which each of the following numbers belongs.(7 points)

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

6.263

4.56666....

−25

0

36−−√

9/11

42−−√

Options: Natural Numbers, Whole Number, Integer, Rational Number, Irrational Number

Answer 1

Here’s the classification of each number into the most specific set:

1. 6.263: Rational Number
2. 4.56666....: Rational Number
3. −25: Integer
4. 0: Whole Number
5. 36−−√ (which equals 6): Natural Number
6. 9/11: Rational Number
7. 42−−√ (which is approximately 6.4807): Irrational Number

These classifications are based on the definitions of the sets:

• Natural Numbers: Positive integers (1, 2, 3, ...)
• Whole Numbers: Non-negative integers (0, 1, 2, ...)
• Integers: Whole numbers and their negatives (..., -3, -2, -1, 0, 1, 2, 3, ...)
• Rational Numbers: Numbers that can be expressed as a fraction of integers (like 1/2, -4, 0.75)
• Irrational Numbers: Numbers that cannot be expressed as a fraction of integers (like √2, π)