NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - True or False Questions
Question 73

Question. 73

The product of two whole numbers need not be a whole number.

Answer:

false

Detailed Answer with Explanation:

Why this is false (step by step):

  1. What are whole numbers? They are \(0, 1, 2, 3, \ldots\)
  2. What does product mean? Product is the result of multiplication.
  3. Try some examples:
    • \(2 \times 3 = 6\) and \(6\) is a whole number.
    • \(0 \times 5 = 0\) and \(0\) is a whole number.
    • \(4 \times 1 = 4\) and \(4\) is a whole number.
  4. General rule (closure): If \(a\) and \(b\) are whole numbers, then \(a \times b\) is also a whole number.
  5. Conclusion: The product of two whole numbers is always a whole number. So the given statement is false.
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