Bellringer 1.1. Jesse bakes 2 apple pies and plans to share them with his 4 friends. Adrian will get ⅝ of a pie, London will get ⅙ of a pie, Mal will get ⁵⁄₁₇ of a pie, and Leron will get 27.5% of a pie. List the friends in order by who will get the most to the least. 2.Convert.82 to a fraction. What is the rule for converting a decimal to fraction? 3.If Adrian jogged ⁷⁄₂₀ of 3 miles, how far did she jog? TALKING AND TIME OFF TASK = 0%

Objective Objective: Compare and order Rational numbers Objective Objective: Compare and order Rational numbers

Vocabulary Vocabulary: Rational Numbers Irrational Number Common Denominator Least Common Denominator Vocabulary Vocabulary: Rational Numbers Irrational Number Common Denominator Least Common Denominator

What is a rational number??? Rational Number: any number that can be expressed as a fraction Ex. Fractions, decimals, %’s, and integers (whole #’s that are + and -)

Examples of Rational Numbers Rational Numbers Integers Whole Numbers % …

Irrational Number Irrational Number: a number that does not terminate AND does not repeat

Pi (π) is an irrational number…

Common Denominator Common Denominator: A common number that both denominators fit into Examples

Comparing Rational Numbers Which is greater, or ? When two fractions have the same denominator, just compare the numerators. > because 7 >

Least Common Denominator (LCD) Least Common Denominator (LCD): smallest the smallest number that both denominators will fit into. Examples

Which is greater, or ? When two fractions have different denominators, find the LCD, then compare.

Which is greater, or ? The LCD of the denominators 4 and 5 is 20. Answer: What’s the LCD of both fractions?

Compare the Following Fractions < > <

Compare the fractions. Write. Additional Example 1A: Comparing Fractions The LCM of the denominators 9 and 8 is = 7 · 8 9 · 8 = = 5 · 9 8 · 9 = > 45 72, and so > 5858 Write equivalent fractions with 72 as the denominator. Course Comparing and Ordering Rational Numbers Compare the numbers.

Ordering Rational Numbers To put decimals in order, line up the decimal points and compare using place value.

Ordering Rational Numbers Compare the decimals > Compare the numbers that are different… 7 > 5 so…

Order Additional Example 3: Ordering Fractions and Decimals , and 0.9 from least to greatest., 4545 = 0.80 Graph the numbers on a number line Write as decimals with the same number of places = = 0.90 Course Comparing and Ordering Rational Numbers 0.80 < 0.90 < 0.93Compare the decimals in order From least to greatest, the numbers are 0.9, 0.93,.

Lesson Practice Compare the fractions. Write > or <. 1. Compare the decimals. Write and Insert Lesson Title Here > 3737 or or < > , 0.826, Order, 0.8, from least to greatest. Course Comparing and Ordering Rational Numbers