Articles containing proofs | Mathematical notation

Decimal representation

A decimal representation of a non-negative real number r is its expression as a sequence of symbols consisting of decimal digits traditionally written with a single separator: Here . is the decimal separator, k is a nonnegative integer, and are digits, which are symbols representing integers in the range 0, ..., 9. Commonly, if The sequence of the —the digits after the dot—is generally infinite. If it is finite, the lacking digits are assumed to be 0. If all are 0, the separator is also omitted, resulting in a finite sequence of digits, which represents a natural number. The decimal representation represents the infinite sum: Every nonnegative real number has at least one such representation; it has two such representations (with if ) if and only if one has a trailing infinite sequence of 0, and the other has a trailing infinite sequence of 9. For having a one-to-one correspondence between nonnegative real numbers and decimal representations, decimal representations with a trailing infinite sequence of 9 are sometimes excluded. (Wikipedia).

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How to use decimal points

👉 Learn all about decimals. Decimals are numbers written with a decimal point. Digits can be written to the right or to the left of the decimal point. Digits are written to the left of the decimal point increase in value by multiples of 10 while digits written to the right decrease by mul

From playlist Decimals | Learn About

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Math Basics: Decimals

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

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Dividing a whole number by a decimal

This is a short video tutorial on dividing a whole number by a decimal. For interactive applets, worksheets, and more videos go to http://fearlessmath.net ▶︎ ▶︎ ▶︎ FOLLOW ME ON TWITTER ◀︎ ◀︎ ◀︎ http://twitter.com/dhabecker ▶︎ ▶︎ ▶︎ All About Decimals playlist ◀︎ ◀︎ ◀︎ https://youtube.com/

From playlist All about decimals

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Decimal Notation: Writing Decimals in Words

This video explains how to write numbers in decimal notation in words. http://mathispower4u.com

From playlist Introduction to Decimals

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Introduction to Decimals, lesson 12 #shorts

Watch the full playlist: https://www.youtube.com/watch?v=kcxK3_sROZA&list=PL14bv5vXK2WWuODhGbpPQA0GamV5ohOVb&index=1 Our Decimal System lets us write numbers as large or as small as we want, using the decimal point. Digits can be placed to the left or right of a decimal point, to show valu

From playlist Celebrities Teach Math: The Number System

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Learn how to subtract a larger decimal from a smaller decimal

👉 You will learn how to add and subtract numbers in decimal form. When adding and subtracting decimals it is very important to align the decimal points and use zero as space holders. Then you will apply the operations just like we do in multi-digit operations but keep track of the decima

From playlist Decimals

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Multiplying Decimals

This video explains how to multiply decimals. http://mathispower4u.wordpress.com/

From playlist Number Sense - Decimals, Percents, and Ratios

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Locating decimals and fractions on a number line

A short tutorial on how to locate decimals and fractions on a number line. For more videos and interactive applets, please visit http://www.MathVillage.info

From playlist All about decimals

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How to multiply a two digit decimal from a three digit decimal

👉 You will learn how to multiply numbers in decimal form. We will work with decimals that are greater and less than one. When multiplying decimals it is important to line up the decimal point so that you keep the place values of the numbers. We will apply multi digit multiplication to f

From playlist How to multiply and divide decimals

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Rational Numbers with Dots

Are there more rational numbers with a finite decimal representation or with a repeating decimal representation? What are repeating decimal representations anyway? Watch this video to find out. #SoME1 0:00 Recap Rational Numbers 6:08 Main Question 11:37 First Mistake 17:16 Second Mistake

From playlist Summer of Math Exposition Youtube Videos

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Set Theory (Part 15a): Decimals, Binary, and Dedekind Cuts

Please leave your comments, questions, and thoughts below! In this video, I talk about the relation between our everyday notions of real numbers as infinite decimal expansions and think about how we can interchange a cut with a decimal expansion. I also introduce binary representations fo

From playlist Set Theory by Mathoma

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Lecture 6: The Uncountability of the Real Numbers

MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw We prove the humble, but powerful, triangle

From playlist MIT 18.100A Real Analysis, Fall 2020

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Rainer Kaenders: Hinterm Komma geht´s weiter

Ein Vortrag von Professor Dr. Rainer Kaenders, Mathematisches Institut, Hausdorff Center for Mathematics. Dezimalzahlen umgeben uns überall – doch sind die Zahlen im Alltag anders verteilt als man vielleicht denken mag. Seit Simon Stevin die Dezimalbrüche und ihre Rechenoperationen system

From playlist Hausdorff Center goes public

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Eureka Math Grade 4 Module 6 Lesson 3

EngageNY/Eureka Math Grade 4 Module 6 Lesson 3 For more videos, please visit http://bit.ly/eurekapusd PLEASE leave a message if a video has a technical difficulty (audio separating from the video). Occasionally, Explain Everything will do that, requiring me to re-render the video. Duane

From playlist Eureka Math Grade 4 Module 6

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An Introduction to Percents (TTP Video 12)

https://www.patreon.com/ProfessorLeonard What Percents mean and how they work.

From playlist To The Point Math (TTP Videos)

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Lesson 14 Module 2

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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Learn how to subtract a smaller decimal from a larger decimal

👉 You will learn how to add and subtract numbers in decimal form. When adding and subtracting decimals it is very important to align the decimal points and use zero as space holders. Then you will apply the operations just like we do in multi-digit operations but keep track of the decima

From playlist Decimals

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Lucas Mason-Brown - Arthur's Conjectures and the Orbit Method for Real Reductive Groups

The most fundamental unsolved problem in the representation theory of Lie groups is the Problem of the Unitary Dual: given a reductive Lie group G, this problem asks for a parameterization of the set of irreducible unitary G-representations. There are two big "philosophies" for approaching

From playlist 2022 Summer School on the Langlands program

Related pages

IEEE 754 | Series (mathematics) | 0.999... | If and only if | Interval (mathematics) | Decimal | Natural number | Rational number | Real number | Sequence | Decimal separator