Assertion: Every whole number is a natural number.Reason: Whole number...
Understanding Whole Numbers and Natural Numbers
The assertion and reason presented in the question are related to the definitions of whole numbers and natural numbers. Let's examine them in detail.
Assertion: Every whole number is a natural number.
- This statement is incorrect.
- Natural numbers are defined as the set of positive integers starting from 1 (i.e., 1, 2, 3, ...).
- Whole numbers include all natural numbers plus zero (i.e., 0, 1, 2, 3, ...).
- Therefore, while all natural numbers are whole numbers, not all whole numbers are natural numbers (for example, zero is a whole number but not a natural number).
Reason: Whole numbers include zero and all integers.
- This statement is also incorrect.
- Whole numbers consist of zero and all positive integers, but they do not include negative integers.
- The set of integers includes both positive and negative whole numbers, along with zero (i.e., ..., -2, -1, 0, 1, 2, ...).
Conclusion
- Both the assertion and reason are not correct.
- The assertion misclassifies whole numbers as natural numbers, and the reason inaccurately defines whole numbers as including all integers.
Final Answer
Given the analysis, the correct option is (c) Assertion and Reason both are not correct.
To make sure you are not studying endlessly, EduRev has designed Class 6 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 6.