Which of the following statements is true?a)Every whole number is a na...
Ans.
Option (b)
Because natural numbers start from 1 and end in infinity where whole numbers start from 0 and end in infinity.
0 is the only number which is in whole numbers but not in natural numbers.
Therefore every natural number is a whole number.
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Which of the following statements is true?a)Every whole number is a na...
Explanation:
The statement "Every natural number is a whole number" is true. Let's understand why by exploring the definitions of natural numbers and whole numbers.
Natural Numbers:
Natural numbers are the counting numbers that start from 1 and go on infinitely. They are also known as positive integers. In other words, natural numbers are the numbers we use for counting or ordering objects. The set of natural numbers is denoted by N.
Whole Numbers:
Whole numbers are the numbers that include zero along with the natural numbers. They are obtained by adding zero to the set of natural numbers. The set of whole numbers is denoted by W.
Understanding the Statements:
a) Every whole number is a natural number.
This statement is false. While every natural number is a whole number, not every whole number is a natural number. Whole numbers include zero, which is not a natural number.
b) Every natural number is a whole number.
This statement is true. Since whole numbers include zero along with the natural numbers, every natural number is also a whole number.
c) 1 is the least whole number.
This statement is false. Zero is the least whole number because it is the starting point of the set of whole numbers.
d) 0 is the greatest whole number.
This statement is false. Whole numbers go on infinitely, so there is no greatest whole number. Zero is the starting point of whole numbers, but there is no end or greatest whole number.
Conclusion:
Based on the definitions of natural numbers and whole numbers, the true statement is that every natural number is a whole number (option B).
Which of the following statements is true?a)Every whole number is a na...
B is the correct answer
So, when 0 was added to the group of natural numbers
so, every natural numbers are whole numbers