Write the following rational numbers in decimal form

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Write the following rational numbers in decimal form

Rational numbers can be represented as decimals. The different types of rational numbers are Integers like -1, 0, 5, etc. The decimal representation of a rational number is converting a rational number into a decimal number that has the same mathematical value as the rational number. A rational number can be represented as a decimal number with the help of the long division method. We divide the given rational number in the long division form and the quotient which we get is the decimal representation of the rational number. A rational number can have two types of decimal representations expansions :. Note: Any decimal representation that is non-terminating and non-recurring, will be an irrational number. Let's try to understand what are terminating and non-terminating terms. While dividing a number by the long division method , if we get zero as the remainder, the decimal expansion of such a number is called terminating. Let us see the long division of 1 by 2 in the following image:. And while dividing a number, if the decimal expansion continues and the remainder does not become zero, it is called non-terminating. Let us see the long division of 1 by 3 in the following image:. You can notice that the digits in the quotient keep repeating.

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Rational numbers can be represented as decimals. The different types of rational numbers are Integers like -1, 0, 5, etc. The decimal representation of a rational number is converting a rational number into a decimal number that has the same mathematical value as the rational number. A rational number can be represented as a decimal number with the help of the long division method. We divide the given rational number in the long division form and the quotient which we get is the decimal representation of the rational number. A rational number can have two types of decimal representations expansions :. Note: Any decimal representation that is non-terminating and non-recurring, will be an irrational number. Let's try to understand what are terminating and non-terminating terms.

Write the following rational numbers in decimal form

A rational number is a number that can be written as a ratio of two integers a and b, where b is not zero. Example 1 :. Solution :. Divide 5 by Step 1 :. Take decimal point after 5. Step 2 :.

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To convert a rational number to a decimal, we simply convert it to a fraction. Example This article is being improved by another user right now. Sign Up. Already have an account? Connect with our Mathematics tutors online and get step by step solution of this question. How to convert a rational number to a decimal? Sign Up. Write the following rational numbers in decimal form : Topic: Mathematics. Question 2. Thank you for your valuable feedback! There are different types of numbers included in the number system like real numbers, whole numbers, integers, even, odd, prime numbers, rational, irrational, etc. Commercial Maths.

Decimal representation of rational numbers is a method of finding decimal expansion of the given rational number or converting a rational number into an equivalent decimal number using long division.

Updated on: Dec 29, The result is approximately 0. Join Numerade as a. How to calculate Basis Point? A decimal number has a whole number and the fractional part separated by a dot. Then, we divide 3 by 7 using long division or a calculator. Algebra Calculus Statistics. Math will no longer be a tough subject, especially when you understand the concepts through visualizations. This article is being improved by another user right now. Ask your question, on a video call with tutor.