Whole numbers property — The product of any number and the first whole number equals what fixed value? Clarify the definition of whole numbers.

Difficulty: Easy

Correct Answer: 0

Explanation:


Introduction / Context:
This question probes the definition of whole numbers and a basic multiplication property. Whole numbers typically start at 0 and include all non-negative integers: 0, 1, 2, 3, and so on. Knowing whether the sequence begins at 0 or 1 determines the result here.


Given Data / Assumptions:

  • First whole number is 0.
  • We consider an arbitrary real or integer n.
  • Operation: product n * 0.


Concept / Approach:
By definition of multiplication identity and zero property: 1 is the multiplicative identity (n * 1 = n), while 0 is the absorbing element (n * 0 = 0). Since the first whole number is 0, the product with any number will be 0.


Step-by-Step Solution:
Identify first whole number = 0.Use zero property of multiplication: n * 0 = 0 for all n.Thus, the required product is 0.


Verification / Alternative check:
Test examples: 7 * 0 = 0; 0 * 0 = 0; (-5) * 0 = 0. The result is always 0, confirming the absorbing property of zero under multiplication.


Why Other Options Are Wrong:

  • 1 / 2 / 3: Confuse identity with zero; these are not universal products.
  • Same as the number: That would be n * 1, not n * 0.


Common Pitfalls:
Assuming the first whole number is 1; mixing up identity (1) with zero; overlooking that some texts say natural numbers start at 1 but whole numbers include 0.


Final Answer:
0

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