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**Hint:**Rational numbers: are represented in p/q from where q is not equal to zero. It is also a type of real number any fraction with non-zero denominators is a rational number. Hence we can say that ‘O’ is also a rational number as we and represent it n many forms such as \[\dfrac{0}{1},\dfrac{0}{2}\] etc But \[\dfrac{1}{0},\dfrac{2}{0}\] etc are NOT rational number. The ratio p/q can be further simplified and represented in decimal form

The set of rational numbers

Include positive, negative and zero.

Can be expressed as a fraction.

If both the numerator and denominator are of the same signs \[ \Rightarrow \] positive rational numbers

If the numerator and denominator are of opposite signs \[ = \] negative rational number.

**Complete step by step answer:**

Integers: Integers are the number that can be positive, negative or zero. These numbers are used to perform various arithmetic calculations like addition. Subtraction, multiplication and division. The example of integers is \[1,2,5,8 - 9, - 12\] etc.

Integers are denoted by Z

Types of integers

1) Zero

2) Positive integers (Natural)

3) Negative integers (negative of natural numbers

**Note:**

Zero is neither a positive nor a negative integer. It is a neutral number i.e. zero has no sign \[( + or - )\]

Integers cannot be in decimal.

The number of integers and a rational number is infinite.

Every integer is a rational number but NOT every rational number is an integer.

For example, 2 is an integer as well as a rational number but \[\dfrac{2}{3}\] is a rational number Not an integer.

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