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# Lesson 1.1: Expressing Rational Numbers with Decimal Expansions

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Tweet## Devon Cantwell

on 4 September 2012#### Transcript of Lesson 1.1: Expressing Rational Numbers with Decimal Expansions

Lesson 1.1: Expressing Rational Numbers with Decimal Expansions 8.NS.1: We will know that numbers that are not rational are called irrational.

We will 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. Common Core Standard Allen wrenches are often needed to assemble furniture. The size commonly used is (3/16)-in. What is (3/16) written as a decimal? Example 1 Wheels on some in-line skates can be removed using a (5/32) Allen wrench. What is (5/32) written as a decimal? Example 2 Let's take a look at a Pearson example! Example 3 Elena Kagan’s confirmation to the US Supreme Court was historic. For the first time, 3 of the 9 justices on the court were female. What is (3/9) written as a decimal? Example 4 The main span of the Brooklyn Bridge is about 0.3 mi long. The main span of the Williamsburg Bridge is about (10/33) mi long. The main span of which bridge is longer? Independent Practice! Williamsburg Brooklyn Bridge There are two parking lots near a concert hall. The covered parking lot is (5/6) mi away. The open-air parking lot is 0.8 mi away. Which parking lot is closer to the concert hall? Explain! Independent Practice 2!

Full transcriptWe will 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. Common Core Standard Allen wrenches are often needed to assemble furniture. The size commonly used is (3/16)-in. What is (3/16) written as a decimal? Example 1 Wheels on some in-line skates can be removed using a (5/32) Allen wrench. What is (5/32) written as a decimal? Example 2 Let's take a look at a Pearson example! Example 3 Elena Kagan’s confirmation to the US Supreme Court was historic. For the first time, 3 of the 9 justices on the court were female. What is (3/9) written as a decimal? Example 4 The main span of the Brooklyn Bridge is about 0.3 mi long. The main span of the Williamsburg Bridge is about (10/33) mi long. The main span of which bridge is longer? Independent Practice! Williamsburg Brooklyn Bridge There are two parking lots near a concert hall. The covered parking lot is (5/6) mi away. The open-air parking lot is 0.8 mi away. Which parking lot is closer to the concert hall? Explain! Independent Practice 2!