Every integer is a whole number. True or False Give reason?
Answer:
False
- Integers are a collection of counting numbers that include both positive and negative numbers as well as zero and may be expressed without the use of fractions.
- An integer can be positive, negative, or zero in value.
All-natural numbers are also integers with a starting value of 1 and a terminating value of infinity. - All entire numbers, from 0 to infinity, are also integers.
- From 0 through positive numbers, there are whole numbers. As a result, no entire number can be negative. As a result, assuming that each integer is a whole number is inaccurate.
Explanation:
Whole numbers are defined as a collection of numbers that solely contains whole numbers, i.e. the collection does not contain any fractional, decimal, or negative values. As a result, the collection of entire numbers contains a number:- { 0, 1, 2, 3, …………………. } There are no values like 2.3, −2, 32, etc in the set of whole numbers.
The collection of whole number values is also known as the collection of natural numbers with zero elements added on.
The full number range is defined by.
Integers are defined as a collection of numbers that only have perfect integer values in them, i.e. they don’t have any fractional or decimal values in them, but they do have negative values in them. So, the collection of integers has values like { ………………, −4, −3, −2, −1, 0, 1, 2, 3, 4, …………………….} There are no values like 2.3, 32, 2–√etc . in the set of whole numbers.
The integer set is defined by
As a result, We can deduce from the definitions of integers and whole numbers that the whole numbers are a collection of positive integers. There isn’t a single integer that is a whole number.
As a result, the stated assertion is False.
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