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Fractions and P-Adic Numbers - Real Numbers and Limits Math Foundations

Offered By: Insights into Mathematics via YouTube

Tags

Number Theory Courses Arithmetic Courses Fractions Courses

Course Description

Overview

Explore the fascinating world of 10-adic numbers and repeating reversimals in this 53-minute video lecture. Dive into an alternative approach to decimal arithmetic, where digits extend to the left instead of the right. Learn about addition, multiplication, negatives, and converting fractions to reversimals and back. Discover how this playful yet powerful concept relates to number theory and numerical patterns. Follow along as the instructor demonstrates various operations, compares reversimals to traditional decimals, and introduces a major project for further exploration. Gain insights into this unique mathematical perspective that offers a fresh take on familiar arithmetic concepts.

Syllabus

Intro to reversimals -- backwards decimals!
Multiplication : ®️ decimals
Revercimals or 10-aadic numbers R
Sum = 0 Euler
Arithmetic with R
Addition with R
Multiplication with R
Negatives and R
Fraction & R
Long division for fractions to R
Compare R & ®️
Major project


Taught by

Insights into Mathematics

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