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Select all sets to which the value 2 - 2 belongs.

a. Real Numbers
b. Irrational Numbers
c. Rational Numbers
d. Integers
e. Whole Numbers
f. Natural Numbers

User Erdogan
by
8.3k points

1 Answer

3 votes

Final answer:

The value 2 - 2 equals 0, which belongs to the sets of Real Numbers, Rational Numbers, Integers, and Whole Numbers. It does not belong to the sets of Natural Numbers and Irrational Numbers.

Step-by-step explanation:

We are asked to select all sets to which the value 2 - 2 belongs. When we perform the subtraction, we get 2 - 2 = 0. Now, let's determine which sets include the number 0.

  • Real Numbers: Since all integers, rationals, and irrationals are included in real numbers, 0, being an integer, is also a real number.
  • Rational Numbers: A rational number is any number that can be expressed as a fraction where both numerator and denominator are integers, and the denominator is not zero. Since 0 can be written as 0/1, it is rational.
  • Integers: The set of integers includes all whole numbers, both positive and negative, including zero. Therefore, 0 is an integer.
  • Whole Numbers: The set of whole numbers includes all natural numbers plus zero.
  • Natural Numbers: This set includes all positive integers starting from 1. Since 0 is not a positive integer, it does not belong to the natural numbers.
  • Irrational Numbers: These are numbers that cannot be expressed as a simple fraction. Zero can be expressed as a fraction, so it is not irrational.

Therefore, the correct answer is: a. Real Numbers, c. Rational Numbers, d. Integers, and e. Whole Numbers.

User Sean Burlington
by
8.6k points

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