
Which natural numbers have no predecessor
A. $ 0 $
B. $ 1 $
C. $ 10 $
D. $ 100 $
Answer
513.3k+ views
Hint: The numbers in mathematics have been divided into many sets or groups. Some of these groups are natural numbers, whole numbers, real numbers, integers etc. These numbers help us identify the properties of the numbers in question. For example whole numbers can never be negative. The natural number system is the set of numbers beginning from $ 1 $ and continuing up to infinity i.e. never ending unlike the whole number which begins from $ 0 $ . In the question we have to tell which number does not have a predecessor.
Complete step-by-step answer:
The question asks us to identify which number does not have a predecessor. A predecessor in the mathematical term is the one which comes immediately before the number in question. So for example the predecessor of $ 10 $ will be $ 9 $ , or the predecessor of $ 24 $ will be $ 23 $ .
The first option is $ 0 $ . The number itself is not a natural number and hence is not even compatible with the question about natural numbers as natural numbers begin from $ 1 $ rather than $ 0 $ . The next option $ 1 $ is the correct answer to the question because $ 1 $ is the first natural number in the number system. The predecessor of $ 1 $ is $ 0 $ which is not a natural number. Other two options have a predecessor, that is
Predecessor of $ 10 $ is $ 9 $ which is a natural number.
Predecessor of $ 100 $ is $ 99 $ which is also a natural number.
Thus only option B is correct.
So, the correct answer is “Option B”.
Note: The whole numbers are numbers beginning from $ 0 $ and continue up to infinity (i.e. never end), they are denoted by the term $ W $ .
The natural numbers are numbers beginning from $ 1 $ and continue up to infinity (i.e never end) ; they are denoted by the term $ N $ .
the integers on the other hand are composed of both positive and negative numbers along with zero. The integers are denoted by the letter $ I $
Complete step-by-step answer:
The question asks us to identify which number does not have a predecessor. A predecessor in the mathematical term is the one which comes immediately before the number in question. So for example the predecessor of $ 10 $ will be $ 9 $ , or the predecessor of $ 24 $ will be $ 23 $ .
The first option is $ 0 $ . The number itself is not a natural number and hence is not even compatible with the question about natural numbers as natural numbers begin from $ 1 $ rather than $ 0 $ . The next option $ 1 $ is the correct answer to the question because $ 1 $ is the first natural number in the number system. The predecessor of $ 1 $ is $ 0 $ which is not a natural number. Other two options have a predecessor, that is
Predecessor of $ 10 $ is $ 9 $ which is a natural number.
Predecessor of $ 100 $ is $ 99 $ which is also a natural number.
Thus only option B is correct.
So, the correct answer is “Option B”.
Note: The whole numbers are numbers beginning from $ 0 $ and continue up to infinity (i.e. never end), they are denoted by the term $ W $ .
The natural numbers are numbers beginning from $ 1 $ and continue up to infinity (i.e never end) ; they are denoted by the term $ N $ .
the integers on the other hand are composed of both positive and negative numbers along with zero. The integers are denoted by the letter $ I $
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