Decimal expansion of a rational number is terminating

Decimal expansion of rational numbers means when we represent a rational famplips given in the form of a fraction in the form of a decimal. We use the long division method for this process of conversion.

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.

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. Maths Games. Maths Puzzles. Maths Questions.

Maths Formulae.

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.

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!

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.

Fawcett tractor parts

Thus we consider the quotient upto where the recursion starts. Division of algebraic expressions. Explore math program. To identify whether a fraction is a terminating decimal or not, we can use the division operation and divide numerator by denominator. The number of digits after the decimal point is 2. Related Worksheets. Maths Games. Correct answer is: 8. Solution: Let's use a whole number as the denominator. The decimal numbers that can be expressed as rational numbers are either terminating or non-terminating in nature.

Before going into a representation of the decimal expansion of rational numbers, let us understand what rational numbers are. So when these numbers have been simplified further, they result in decimals.

Non Terminating means that while using the long division method we will not get a fixed number of digits in the quotient. Sri Lanka. Real numbers are merely the mixture of rational and irrational numerals, in the numeral system. Related Worksheets. If you end up with a remainder of 0, then you hold a terminating decimal. Terminating Decimal Numbers: Terminating decimal numbers are those decimal numbers with a limited number of digits following the decimal point. In other words, while dividing the remainder does not become zero. Related Articles. United Kingdom. Our Mission. The decimal 1. Therefore, b pie chart represents the terminating decimal expansion. Previous Convert Square Mile to Hectare. Example 2: Look at the following pie charts. For example, 0.