Question

Every integer is a ……………………………………………
A. Real number
B. Rational number
C. Irrational number
D. Natural number

Answer 1

Hint: Here, we will first define all the different types of numbers. Then we will compare these numbers with the definition of an integer number. We will then select the option that comes under the integers. Integers lie between \[ - \infty \] to \[\infty \] and integers are denoted by a symbol ‘Z’.

Complete Step by Step Solution:
We know that an integer is a number that can be positive, negative or zero but it cannot be a fraction. Whole numbers are the numbers starting from zero and with all positive numbers. We know that integers do not include decimal numbers.
We know that a rational number is defined as a number that can be expressed in the form of fractions. A rational number can also be defined as the ratio of two integers or the Quotient of two integers
An irrational number is defined as a number that cannot be expressed in the form of fractions. An irrational number can also be defined which cannot be expressed as the ratio of two integers.
We know that Real numbers are defined as a set of numbers containing both the rational number and an irrational number.
A Natural number is a number starting from one and with all the Positive numbers.
Every integer is a Real number and Rational number but not Irrational numbers and natural numbers.
Therefore, every integer is a real number and a rational number.

Thus, option (A) and (B) is the correct answer.

Note:
We know that Integers are the set of all Positive numbers and Negative numbers but cannot be zero. The major properties of integers are the Closure Property, Commutative Property, Associative Property, Distributive Property, Additive Inverse, Multiplicative Inverse and Identity Property. The additive inverse of every natural number is the set of all Integers.