Decimal expansion of a rational number is terminating

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.

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. Terminating Decimal Numbers.

Decimal expansion of a rational number is terminating

The terminating decimal expansion means that the decimal representation or expansion terminates after a certain number of digits. About Us. Already booked a tutor? Learn Ncert All Solutions with tutors mapped to your child's learning needs. Learn Practice Download. Write down the decimal expansions of those rational numbers in Question 1 above which have terminating decimal expansions. In each case, decide whether they are rational or not. Explore math program. Math worksheets and visual curriculum. Find the right teacher. Maths Program. Online Tutors.

We use the long division method to convert a rational number to a decimal number.

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.

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. Keep reading to find out:. Additionally, we have prepared several examples of all the math explained in the text. We promise it will be interesting and surprisingly easy! What are you waiting for? The number of numbers is quite big: even natural numbers are infinite, and they are actually the smallest infinite set in math! This number only grows when we deal with real numbers. Between two adjacent integers , we can find infinitely many real numbers : this is when we need to introduce the decimal representation of a number:. Before the decimal separator , we meet the integer part. After the separator, we meet the decimal part.

Decimal expansion of a rational number is terminating

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.

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Decimal numbers are of two types: terminating decimal numbers and non-terminating decimal numbers. The quotient is never terminated but it eventually repeats the digits in a periodic sequence. How to Recognize Terminating Decimal? Problem 1: Select the decimal expansion of rational numbers from the following. The quotient thus obtained is the required decimal expansion. In each case, decide whether they are rational or not. Create Improvement. Find out whether 5. You see real learning outcomes. If you have two chocolates and you ate half of one of the chocolates, then you are left with 1. Begin here Hundredths to tenths. Write down the decimal expansions of those rational numbers in Question 1 above which have terminating decimal expansions. Please Login to comment

Before going into a representation of the decimal expansion of rational numbers, let us understand what rational numbers are.

Important Links. Decimal Expansions of Rational Numbers. Yes, 3. Discrete frequency distribution. Year 2 Maths Worksheets. Let us take some examples of rational numbers and find their decimal expansion. Correct answer is: 8. If after dividing the number we get the remainder as 0, it is a terminating decimal. Find out whether 5. Article Tags :. The quotient 0. Learn Practice Download. Hire With Us.