Repeating Decimals to Fractions | 8.NS.A.1 | Grade 8 Math 💗💙
In this math video we will rewrite repeating decimals as fractions. You will learn how to algebraically transform a repeating decimal to a fraction in three easy steps. We will write two equivalent equations that represent the repeating decimal. We will multiply each side of the first equation by a power of ten using the number of repeating digits. We will subtract one equation from the other and simplify the fraction. We will rewrite three different repeating decimals as fractions in simplest form. An exemplar solution is modeled and explained.
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00:00 Introduction
00:08 The Question
00:34 Understanding the Problem
00:55 The 3 Steps to Write a Repeating Decimal as a Fraction
03:17 Match 0.7272....to a Fraction
03:44 Write 0.733333.... as a Fraction
05:37 Write 0.787878..... as a Fraction
06:49 The Solution
The Number System and Expressions and Equations
Know that there are numbers that are not rational, and approximate them by rational numbers.
8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.A.1 Determine which statements about decimal expansions and their fraction equivalents are true.
