Question

Which of the following is an example of integer?
(A) $ - 5 $
(B) $ \dfrac{5}{2} $
(C) $ 1.4 $
(D) $ - \dfrac{7}{2} $

Answer 1

Hint: The given question revolves around the number systems and different types of number sets in mathematics. Integers are one of the many sets of numbers present in mathematics. An integer is a number with no decimal or fractional part. Integers may be positive or negative, including zero. In other words, Integers are whole numbers along with the negative counterparts of the positive whole numbers. The set of integers is represented by the symbol Z. In the given problem, we have to identify the integers from the options. We look upon the options one by one and select the one which contains an integral value.

Complete step by step solution:
In the given question, we have to select the option which contains an integer.
So, in option (A), the value given is $ - 5 $ . We know that the set of integers consists of all the whole numbers along with the negative counterparts of the positive whole numbers. Hence, $ - 5 $ is an integer.
Now, looking upon option (B). The value given is $ \dfrac{5}{2} $ . We know that an integral number is a number without any decimal part or fractional value. Hence, the number given $ \dfrac{5}{2} $ is not an integer.
Now, going to option (C). The value given is $ 1.4 $ .
The case is similar to option (B) as we know that fraction and decimal are interconvertible into one another. Also, integers are numbers without any decimal part or fractional values. Hence, the number $ 1.4 $ is not an integer.
Now, in option (D), the given value is $ - \dfrac{7}{2} $ . Since the set of integers does not consist of rational numbers. Hence, $ - \dfrac{7}{2} $ is not an integer.
Therefore, only $ - 5 $ is an integer. Thus, option (A) is correct.
So, the correct answer is “Option A”.

Note: We must know about the different number sets before solving such questions. We must know the definition and properties of integers in order to get to the final answer of the given problem. We should also know that fractions and decimals can be converted into each other and are not included in the set of integers (Z).