1.5, Π, 2, -52, 0, match these numbers to the correct stop within, Natural Numbers, Whole Numbers, Integers, Rational numbers, And Irrational Numbers.

1 answer

Let's categorize the numbers you provided:

  • Natural Numbers: These are the positive integers (1, 2, 3, ...).

    • From your list: 2 (since natural numbers start from 1 and 2 is a positive integer).
  • Whole Numbers: These include all natural numbers along with zero (0, 1, 2, 3, ...).

    • From your list: 0, 2 (0 is included in whole numbers).
  • Integers: This set includes all whole numbers and their negative counterparts (-1, -2, 0, 1, 2, ...).

    • From your list: -52, 0, 2 (all these numbers are integers).
  • Rational Numbers: These are numbers that can be expressed as a fraction (where both numerator and denominator are integers, and the denominator is not zero). This includes integers, fractions, and repeating or terminating decimals.

    • From your list: 1.5, -52, 0, 2 (all these numbers can be expressed as fractions: 1.5 = 3/2, -52 = -52/1, 0 = 0/1, 2 = 2/1).
  • Irrational Numbers: These are numbers that cannot be expressed as a simple fraction, meaning their decimal representation goes on forever without repeating.

    • From your list: Π (Pi is a well-known irrational number).

In summary:

  • Natural Numbers: 2
  • Whole Numbers: 0, 2
  • Integers: -52, 0, 2
  • Rational Numbers: 1.5, -52, 0, 2
  • Irrational Numbers: Π