Question
GeneralGeneralGeneral

A terminating decimal belongs to which of the following types of numbers?

A. Natural number
B. Whole number
C. Rational number
D. Integer

Verified Answer

Correct Answer: C. Rational number

A terminating decimal is a number that has a limited (finite) number of digits after the decimal point. For example, numbers like 0.5, 2.75, and 3.125 are terminating decimals because they stop after some digits.

To understand why the correct answer is rational number, we first need to know what a rational number is. A rational number is any number that can be written in the form of p/q, where p and q are integers and q is not equal to zero. 

Now, every terminating decimal can be converted into a fraction. For example:

  • 0.5 = 5/10

  • 2.75 = 275/100

Since these decimals can be written as fractions, they satisfy the definition of rational numbers. That is why all terminating decimals are rational numbers.

On the other hand, natural numbers, whole numbers, and integers do not always include decimals. They are mostly whole values without fractional parts. So, they cannot represent all terminating decimals.

In simple words, whenever a decimal number ends and does not continue forever, it is a terminating decimal, and such numbers always belong to the category of rational numbers.