
All whole numbers are integers.
(A) True
(B) False
Answer
506.7k+ views
Hint: In order to answer this question, to know whether whole numbers are integers or not, we will check if their properties are the same or not by comparing them. And then we will also mention the properties of them.
Complete answer:
Whole numbers are a part of the number system, and it represents all positive integers from zero to infinity.
As we know that, Integers are a special group or category of numbers that: Consist of the set of numbers: $\{ - 4, - 3, - 2, - 1,0,1,2,3,.....\} $
And, whole numbers are the number without fractions and it is a collection of positive integers and zero. It is a set of numbers: $\{ 0,1,2,3,4,5,......,96,....\} $ .
So, we can say that all whole numbers are integers, but not all integers can be whole numbers.
The whole numbers are the positive integers from 0 to infinity that are used in the number system. These figures can be found on the number line. As a result, they're just real numbers. All whole numbers are real numbers, but not all real numbers are whole numbers, we may assume.
Whole numbers refer to the whole set of natural numbers, including 0 (zero). The following are some examples: 0, 11, and 25.
As we can study that, the properties of whole number and the integers are also same are as:-
(i) Closure Property
(ii) Commutative Property
(iii) Associative Property
Hence, the correct option is (A) True.
Note:
The integers are the whole numbers and their opposites. Integers and whole numbers are both non-decimal numbers, the difference is that whole numbers commence at zero and increase positively. Integers have both positive and negative values, with zero being the middle point of both sides.
Complete answer:
Whole numbers are a part of the number system, and it represents all positive integers from zero to infinity.
As we know that, Integers are a special group or category of numbers that: Consist of the set of numbers: $\{ - 4, - 3, - 2, - 1,0,1,2,3,.....\} $
And, whole numbers are the number without fractions and it is a collection of positive integers and zero. It is a set of numbers: $\{ 0,1,2,3,4,5,......,96,....\} $ .
So, we can say that all whole numbers are integers, but not all integers can be whole numbers.
The whole numbers are the positive integers from 0 to infinity that are used in the number system. These figures can be found on the number line. As a result, they're just real numbers. All whole numbers are real numbers, but not all real numbers are whole numbers, we may assume.
Whole numbers refer to the whole set of natural numbers, including 0 (zero). The following are some examples: 0, 11, and 25.
As we can study that, the properties of whole number and the integers are also same are as:-
(i) Closure Property
(ii) Commutative Property
(iii) Associative Property
Hence, the correct option is (A) True.
Note:
The integers are the whole numbers and their opposites. Integers and whole numbers are both non-decimal numbers, the difference is that whole numbers commence at zero and increase positively. Integers have both positive and negative values, with zero being the middle point of both sides.
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