Numeral systems | Elementary arithmetic
A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating (i.e. all except finitely many digits are zero). For example, the decimal representation of 1/3 becomes periodic just after the decimal point, repeating the single digit "3" forever, i.e. 0.333.... A more complicated example is 3227/555, whose decimal becomes periodic at the second digit following the decimal point and then repeats the sequence "144" forever, i.e. 5.8144144144.... At present, there is no single universally accepted for repeating decimals. The infinitely repeated digit sequence is called the repetend or reptend. If the repetend is a zero, this decimal representation is called a terminating decimal rather than a repeating decimal, since the zeros can be omitted and the decimal terminates before these zeros. Every terminating decimal representation can be written as a decimal fraction, a fraction whose denominator is a power of 10 (e.g. 1.585 = 1585/1000); it may also be written as a ratio of the form k/2n5m (e.g. 1.585 = 317/2352). However, every number with a terminating decimal representation also trivially has a second, alternative representation as a repeating decimal whose repetend is the digit 9. This is obtained by decreasing the final (rightmost) non-zero digit by one and appending a repetend of 9. 1.000... = 0.999... and 1.585000... = 1.584999... are two examples of this. (This type of repeating decimal can be obtained by long division if one uses a modified form of the usual division algorithm.) Any number that cannot be expressed as a ratio of two integers is said to be irrational. Their decimal representation neither terminates nor infinitely repeats, but extends forever without repetition (see ). Examples of such irrational numbers are √2 and π. (Wikipedia).
(New Version Available) Convert a Repeating Decimal to a Fraction (Part 3)
New Versions: https://youtu.be/JAsX1IM-eR4 This video explains how to convert a repeating decimal to a fraction. http://mathispower4u.com
From playlist Introduction to Decimals
Convert a Repeating Decimal to a Fraction (Part 4)
This video explains how to convert a repeating decimal to a fraction. http://mathispower4u.com
From playlist Introduction to Decimals
Convert a Repeating Decimal to a Fraction (Part 2)
This video explains how to convert a repeating decimal to a fraction. http://mathispower4u.com
From playlist Introduction to Decimals
Convert a Repeating Decimal to a Fraction (Part 1)
This video explains how to convert a repeating decimal to a fraction. http://mathispower4u.com
From playlist Introduction to Decimals
Recurring Decimals | Number | Maths | FuseSchool
In this video we look at what recurring decimals are, and how to write them as fractions. Recurring decimals repeat forever. To save us having to write all of the repeating numbers, we can place a dot above the number or numbers that repeat. If all the decimal places don’t repeat, just put
From playlist MATHS: Numbers
How To Convert Recurring Decimals Into Fractions 1 - GCSE Maths Help
How to convert recurring decimals into fractions explained for higher GCSE maths and IGCSE maths in this two part series from GCSE Maths minis - creating the GCSE maths help you need! DOWNLOAD THE QUESTIONS HERE: https://drive.google.com/file/d/1U_CaCELD3o7my866cDwqmeIqHj4tcoio/view?usp=
From playlist Converting Recurring Decimals to Fractions - GCSE Maths minis
In this video, you’ll learn more about decimals. Visit https://www.gcflearnfree.org/decimals/ for our interactive text-based tutorial. This video includes information on: • Reading decimals • Comparing decimals We hope you enjoy!
From playlist Math Basics
How To Convert Recurring Decimals Into Fractions 2 - GCSE Maths Help
How to convert recurring decimals into fractions explained for higher GCSE maths and IGCSE maths in this two part series from GCSE Maths minis - creating the GCSE maths help you need! DOWNLOAD THE QUESTIONS HERE: https://drive.google.com/file/d/1U_CaCELD3o7my866cDwqmeIqHj4tcoio/view?usp=
From playlist Converting Recurring Decimals to Fractions - GCSE Maths minis
This is a short video tutorial on multiplying decimals. For interactive applets, worksheets, and more videos go to http://www.mathvillage.info
From playlist All about decimals
Math 7: Module 2 Lesson 14 on Converting Rational Numbers to Decimals Using Long Division
From playlist Eureka Math Grade 7 Module 2
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How to write a repeating decimal as a fraction - step by step example. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, re
From playlist GED Prep Videos
Train your Number Theory skills by trying out Brilliant! =D https://brilliant.org/FlammableMaths New Thermo Merch! :D https://stemerch.com/search?q=thermo We be talking about repeating periodic decimals today! How can we turn every repeating decimal of the form 0.dddddd into a fraction? L
From playlist Number Theory
Let’s Convert a Fraction into a Decimal….Step-by-Step….
How to convert a fraction into a decimal. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and quizzes. All co
From playlist Pre-Algebra
Convert a Fractions to Decimals and Decimals to Percents (2/3, 5 4/9)
This video explains how to convert a given fraction to a decimal and then convert the decimal to a percent. http://mathispower4u.com
From playlist Writing Fractions as Decimals
Rational and Irrational Decimals - n17
DIstinguish the differences between rational and irrational decimals.
From playlist Arithmetic and Pre-Algebra: Number Sense and Properties
repeating decimals (KristaKingMath)
► My Pre-Algebra course: https://www.kristakingmath.com/prealgebra-course In this video we learn about repeating decimals and how to express a repeating decimal by putting a line over the part that repeats. We'll also learn how to expand a repeating decimal when it's written in simplified
From playlist Pre-Algebra
ʕ•ᴥ•ʔ Converting Repeating Decimals to Fractions Made Easy
Quickly master how to convert repeating decimals to fractions . Watch more lessons like this and try our practice at https://www.studypug.com/basic-math-help/decimals/convert-repeating-decimals-to-fractions A repeating decimal keeps repeating itself endlessly. Yet, no worries, you don’t
From playlist AccuPlacer Exam Prep
Prealgebra Lecture 5.5: Translating Fractions to Decimals and Order of Operations with Decimals
https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 5.5: Translating Fractions to Decimals and Order of Operations with Decimals
From playlist Prealgebra (Full Length Videos)