Every whole number is a rational number. True or False?

Explanation:
To determine whether every whole number is a rational number, we first need to understand the definitions of whole numbers and rational numbers.

Understanding Natural Numbers, Whole Numbers, and Integers:

1. Natural Numbers:
Natural numbers are a set of positive integers starting from 1 and continuing indefinitely. They are denoted by the symbol N.
N = {1, 2, 3, 4, 5, ...}

2. Whole Numbers:
Whole numbers are the set of natural numbers along with the number 0. They are denoted by the symbol W.
W = {0, 1, 2, 3, 4, 5, ...}

3. Integers:
Integers are the set of whole numbers along with their negatives. They include positive numbers, negative numbers, and zero. Integers are denoted by the symbol Z.
Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}

Understanding Rational Numbers:
Rational numbers are numbers that can be expressed as a fraction p/q, where p and q are integers and q is not equal to 0. Rational numbers can be positive, negative, or zero.

Answer:
Every whole number is indeed a rational number. This is because any whole number can be expressed as a fraction with a denominator of 1. For example, the whole number 5 can be written as 5/1, where 5 is the numerator and 1 is the denominator. Since both the numerator and denominator are integers, and the denominator is not zero, 5/1 is a rational number.

In fact, every integer can be written as a fraction by assigning a denominator of 1. For example, the integer -3 can be expressed as -3/1. Thus, all integers, including whole numbers, are rational numbers.

Conclusion:
Every whole number is indeed a rational number because it can be expressed as a fraction with a denominator of 1. Additionally, all integers, including whole numbers, can be expressed as fractions by assigning a denominator of 1.

Yes yes