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Is 3.14159 a rational number?

  • Last Updated : 05 Aug, 2021

We use numbers in our daily lives. A numeral is a common term used to describe them. Without numbers, we can’t count items, dates, times, money, or anything else. Sometimes these numbers are used for measuring, and other times they are used for labeling. Numbers have properties that enable them to perform arithmetic operations. These figures are presented in both numerical and verbal forms.

Math teaches us about many sorts of numbers. Examples include natural and whole numbers, odd and even numbers, rational and irrational numbers, and so on. We’ll go through all of the different kinds in this post. Apart from that, the numbers are used in a range of applications, such as number series and arithmetic tables. There are several different types of numbers; these are whole numbers, natural numbers, real numbers, integers, complex numbers, rational numbers, and irrational numbers.

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Do you know where the term “rational” came from? It gets its name from the word “ratio.” As a result, rational numbers are closely linked to the idea of ratio. 



What are Rational Numbers?

Rational numbers are one of the most prevalent types of numbers that we learn in math after integers. These numbers are of the form p⁄q, where p and q are integers and q ≠ 0. Because of the underlying structure of numbers, p/q form, most individuals find it difficult to distinguish between fractions and rational numbers. When a rational number is divided, the output is in decimal form, which can be either ending or repeating.

Examples of Rational Numbers

3, 4, 5, and so on are some examples of rational numbers as they can be expressed in fraction form as 3/1, 4/1, and 5/1. The number “0” is also rational since it may be represented in a variety of ways, including 0/1, 0/2, 0/3, and so on. However, 1/0, 2/0, 3/0, and so on are irrational because they give us unlimited values.

How to identify Rational Numbers?

The number in each of the examples above may be represented as a fraction of integers. As a result, each of these figures is a rational figure. To determine whether a particular number is rational, we may see if it meets any of the following criteria:

  • The given number can be represented as a fraction of integers.
  • We can determine if the number’s decimal expansion is terminating or non-terminating.
  • All whole numbers are always rational numbers.

Is 3.14159 a rational number?

Solution:

Rational numbers are one of the most prevalent types of numbers that we learn in math after integers. A rational number is a sort of real number that has the form p/q where q≠0. All whole numbers, natural numbers, fractions of integers, integers, and terminating decimals are rational numbers.

When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number is 3.14159 and it has terminating digits. We can also express it in fraction form as 314159⁄100000. Hence, the given number is a rational number.

Similar Questions

Problem 1: Determine whether 1.25 is a rational number.

Solution:

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, 1.25 has a terminating decimal. Also, we can express the number in fraction form as 5⁄4. Hence, 1.25 is a rational number.

Problem 2: Determine whether 4.33333…. is a rational number.

Solution:

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, 4.33333… has a recurring digit. Hence, 4.33333 is a rational number.

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