Which set of numbers includes only whole numbers?

Question

A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers.
Negative 4, one-half, 2, 3 and StartFraction 7 Over 8 EndFraction
StartFraction 1 Over 6 EndFraction, 0, one-fourth, three-fifths
2, 5, 6, 15

Answer 1

Whole numbers are defined as the set of non-negative integers, including zero. Thus, whole numbers include 0, 1, 2, 3, 4, etc.

Let's evaluate the sets given in your options:

1. Negative 4, one-half, 2, 3, and StartFraction 7 Over 8 EndFraction

   • Contains negative (-4) and fractions (1/2 and 7/8). Not all whole numbers.

2. StartFraction 1 Over 6 EndFraction, 0, one-fourth, three-fifths

   • Contains fractions (1/6, 1/4, and 3/5). Only includes one whole number (0). Not all whole numbers.

3. 2, 5, 6, 15

   • All numbers are whole numbers (2, 5, 6, and 15 are non-negative integers).

Therefore, the set that includes only whole numbers is 2, 5, 6, 15.