why is every whole number an integer?
That's the definition of integer.
http://www.mathsisfun.com/whole-numbers.html
Because integers are negative or positive whole numbers they can never be rational or irrational numbers.
Thanks you Ms. Sue for the info. and thank you Sonya for including that! :)
You're welcome, Laruen.
Sonya --- integers can be rational numbers
To understand why every whole number is an integer, let's break down the definitions of these mathematical terms:
1. Whole Numbers: Whole numbers are the set of numbers that includes zero (0) and all positive counting numbers, such as 1, 2, 3, and so on. Whole numbers do not include any negative numbers or fractions.
2. Integers: Integers, on the other hand, encompass all whole numbers (including zero) and their negatives. In other words, integers include all the numbers from negative infinity to positive infinity that can be written without fractional components or decimals.
Now, to answer your question, "why is every whole number an integer?" we can understand that every whole number is included within the set of integers because it is either a positive integer or zero (0). Since whole numbers are not fractional or decimal, they can be classified as integers.
To further explain this, here is a step-by-step process to determine if a whole number is an integer:
Step 1: Identify the whole number in question (e.g., 3).
Step 2: Understand the definition of an integer as a number without fractional components or decimals.
Step 3: Since the whole number 3 does not have any fractional or decimal parts, it fits the definition of an integer.
Step 4: Therefore, we conclude that the whole number 3 is also an integer.
By following these steps, you can conclude that every whole number is indeed an integer.