Decimal expansion of a rational number is terminating

Decimal expansion of rational numbers means when we represent a rational number given in the form of a fraction in the form of a decimal. We use the long division method for this process of conversion. In this math article we will study the decimal expansion of rational numbers. We use the long division method for this process.

Let's first define rational numbers before discussing how they are represented when expanded to decimal form. Decimals are what is produced when these numbers are further simplified. The decimal expansion of a rational number is obtained by dividing the numerator by the denominator of the rational number. Decimal Expansion. By dividing a rational number's numerator by its denominator, one can get the decimal expansion of a rational number. Two types of decimal numbers may result from this process.

Decimal expansion of a rational number is terminating

A terminating decimal is a decimal in which the digits after the decimal point terminate. This means that the digits after the decimal are finite in number. It is a decimal that has an end-digit. A decimal is a number that consists of a whole number and a fractional part. There are two types of decimals categorized on the basis of the number of digits after the decimal point. If you have two chocolates and you ate half of one of the chocolates, then you are left with 1. This is a terminating decimal since there is only one digit after the decimal point. Terminating decimals can be defined as decimals that have a finite number of digits after the decimal point. Note that all decimals that terminate are rational numbers. In simple words, all terminating decimals are rational numbers. Thus, they can be written in the form of a fraction, as they are rational numbers. Here, the long division ends after a certain point and we get the remainder 0. You can identify a terminating decimal number using the following conditions:. These numbers are called non-terminating decimals because the digits after the decimal point do not terminate. This means that the digits after the decimal are infinite in number.

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Terminating decimals are the numbers that have a fixed or a finite number of digits after the decimal point. Decimal numbers are used to represent the partial amount of whole, just like fractions. In this lesson, we will focus on the type of decimal numbers, that is, terminating decimal numbers. The word 'terminate' means to bring to an end. In terms of decimal, it is a number that ends. In this article, we will learn what are terminating decimals and the ways to recognize these numbers. The number which has a finite number of digits after the decimal point is referred to as a terminating decimal.

Terminating decimals are the numbers that have a fixed or a finite number of digits after the decimal point. Decimal numbers are used to represent the partial amount of whole, just like fractions. In this lesson, we will focus on the type of decimal numbers, that is, terminating decimal numbers. The word 'terminate' means to bring to an end. In terms of decimal, it is a number that ends. In this article, we will learn what are terminating decimals and the ways to recognize these numbers. The number which has a finite number of digits after the decimal point is referred to as a terminating decimal. Decimals are used to express the whole number and fraction together that is separated from each other by inserting a ". For example,

Decimal expansion of a rational number is terminating

In Mathematics, a real number is a combination of rational numbers and irrational numbers. The rational and irrational numbers can be expressed in their decimal form. The real numbers can be represented using the number line. If the numbers cannot be expressed on the number line, then the numbers are called imaginary numbers. In this article, we are going to learn the real numbers and their decimal expansions in detail. We know that the combination of rational and irrational numbers is called real numbers. Now, we will have a look at the decimal expansion of rational and irrational numbers. The decimal expansion of real numbers can be classified into three types. They are:. The decimal expansion terminates or ends after finite numbers of steps.

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Report issue Report. No, pi is not a terminating decimal as the value of pi is 3. How to find the Area of a Regular Polygon? You see real learning outcomes. Enhance the article with your expertise. Commercial Maths. Maths Questions. Already booked a tutor? Show that the number 6 is a rational number by finding a ratio of two integers equal to the number. Complete Tutorials. Math worksheets and visual curriculum. Convert Decimals to Fractions. Here we get the remainder as zero and thus we terminate the division process at that time.

Our terminating decimal calculator will teach you how to find the decimal representation of a number, detect the possible presence of repeating decimals , and much more.

Problem 1: Select the decimal expansion of rational numbers from the following. In this lesson, we will focus on the type of decimal numbers, that is, terminating decimal numbers. If after dividing the number we get the remainder as 0, it is a terminating decimal. We use the long division method for this process. Saudi Arabia. What Is a Terminating Decimal? Additional Information. Let's first define rational numbers before discussing how they are represented when expanded to decimal form. Sri Lanka. Commercial Maths. Terminating Decimals Terminating decimals are the numbers that have a fixed or a finite number of digits after the decimal point. The number which has a finite number of digits after the decimal point is referred to as a terminating decimal.