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  • Every rational number is: (A)A natural number (B)An integer (C)A real number (D) A whole number

Every rational number is:

(A)A natural number
(B)An integer
(C)A real number
(D) A whole number

Answers (1)

Answer: [C]

Solution.

Any number which can be represented in the form of p/q where q is not equal to zero is a rational number. So it is basically a fraction with non-zero denominator.
Examples: 4/5, 2/3, -6/7
(A) All the positive integers from 1 to infinity are natural numbers. These cannot be fractions.
Examples: 1, 2, 3, 4 and so on
(B) An integer is a number which can be written without fractional components or decimal representation. They can be positive, negative or zero.
Examples: \left \{ .......,-4,-3,-2,-1,0,1,2,3,4,......... \right \}
(C) All numbers that we generally use are real numbers. They can be positive, negative, decimal, whole, natural, integer etc.
Examples: 0.123, -2.5,0,2,5,6.3456
(D) All the positive integers from 0 to infinity are whole numbers. These cannot be fractions.
Examples: 0, 1, 2, 3, 4 and so on
From the above definitions we can easily see that every rational number is a real number. Therefore option (C) is correct.

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