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Hint: Integer is the terminology used to refer to the particular type of numbers which are present on the number line. As it is defined terminology so there is not any rule or concept behind it.
Complete step by step answer:
Looking forward with the question,
Integer value is the terminology used to define the particular type of numbers which are present on the number line. As we know, the numbers which are present on the number line are termed as Real numbers. Real numbers are further divided as rational numbers and irrational numbers. Now the rational number is further divided into whole numbers, natural numbers, Integers and so on. So we can say that integers are the subset or part of Real numbers. We can say it as a subset of real numbers or rational numbers.
Integers are the numbers which are whole numbers, or rational numbers which can be further simplified as a simple number, meaning which can’t be written in decimal form. For example$1,2,50,55$and so on are integers.
When two integers are added, subtracted, or multiplied, the result is also an integer. However, when one integer is divided into another, the result may be an integer or a fraction. For example, 6 divided by 3 equals 2, which is an integer, but 6 divided by 4 equals 1.5, which contains a fraction. Decimal numbers may either be rounded or truncated to produce an integer result.
Hence integers are numbers which are not decimal, or present in p/q form which can’t be further reduced to some ‘m’.
Note: As integer is the defined terminology used to call out the particular type of numbers present on the number line. As these are the subset of real numbers, hence integers are always real numbers.
Complete step by step answer:
Looking forward with the question,
Integer value is the terminology used to define the particular type of numbers which are present on the number line. As we know, the numbers which are present on the number line are termed as Real numbers. Real numbers are further divided as rational numbers and irrational numbers. Now the rational number is further divided into whole numbers, natural numbers, Integers and so on. So we can say that integers are the subset or part of Real numbers. We can say it as a subset of real numbers or rational numbers.
Integers are the numbers which are whole numbers, or rational numbers which can be further simplified as a simple number, meaning which can’t be written in decimal form. For example$1,2,50,55$and so on are integers.
When two integers are added, subtracted, or multiplied, the result is also an integer. However, when one integer is divided into another, the result may be an integer or a fraction. For example, 6 divided by 3 equals 2, which is an integer, but 6 divided by 4 equals 1.5, which contains a fraction. Decimal numbers may either be rounded or truncated to produce an integer result.
Hence integers are numbers which are not decimal, or present in p/q form which can’t be further reduced to some ‘m’.
Note: As integer is the defined terminology used to call out the particular type of numbers present on the number line. As these are the subset of real numbers, hence integers are always real numbers.
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