Find the fraction that represents the number of natural numbers to total numbers in the collection \(0,1,2,3,4,5\). What fraction will it be for whole numbers?
Natural numbers: \(\dfrac{5}{6}\); Whole numbers: \(\dfrac{6}{6}=1\)
Step 1: List the collection.
Let \(S = \{0,1,2,3,4,5\}\).
Total numbers in \(S\) = \(6\).
Step 2: Identify natural numbers.
Natural numbers start from \(1\).
In \(S\): \(1,\ 2,\ 3,\ 4,\ 5\).
Count of natural numbers = \(5\).
Step 3: Fraction for natural numbers.
\(\text{Fraction} = \dfrac{\text{count of natural numbers}}{\text{total numbers}}\)
\(= \dfrac{5}{6}\).
Step 4: Identify whole numbers.
Whole numbers start from \(0\).
In \(S\): \(0,\ 1,\ 2,\ 3,\ 4,\ 5\).
Count of whole numbers = \(6\).
Step 5: Fraction for whole numbers.
\(\text{Fraction} = \dfrac{\text{count of whole numbers}}{\text{total numbers}}\)
\(= \dfrac{6}{6}\ = 1\).