Identify the MOST SPECIFIC set to which each of the following numbers belongs.

Question

options:

1. −25
2. √42
3. 4.56666....
4. 6.263
5. √36
6. 0
7. 9 over 11

definition:

Rational number
Irrational number
whole number
Natural number
integer

Answer 1

To identify the most specific set to which each of the numbers belongs, we will classify each number according to the definitions of rational numbers, irrational numbers, whole numbers, natural numbers, and integers.

1. −25

   • Set: Integer (also a rational number)

2. √42

   • Set: Irrational number

3. 4.56666....

   • Set: Rational number (it can be expressed as a fraction of two integers)

4. 6.263

   • Set: Rational number (it can be expressed as a fraction of two integers)

5. √36

   • Set: Whole number (specifically, it is 6, which is also a rational number)

6. 0

   • Set: Integer (also a rational number and whole number)

7. 9 over 11

   • Set: Rational number

In summary:

1. Integer
2. Irrational number
3. Rational number
4. Rational number
5. Whole number
6. Integer
7. Rational number