Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–1) Then/Now New Vocabulary Example 1: Write Mixed Numbers and Integers as Fractions Example.

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Presentation transcript:

Splash Screen

Lesson Menu Five-Minute Check (over Lesson 3–1) Then/Now New Vocabulary Example 1: Write Mixed Numbers and Integers as Fractions Example 2: Real-World Example: Write Terminating Decimals as Fractions Example 3: Write Repeating Decimals as Fractions Concept Summary: Rational Numbers Example 4: Classify Numbers

Over Lesson 3–1 5-Minute Check 1 A.–0.09 B.–0.29 C.–0.36 D.–0.45

Over Lesson 3–1 5-Minute Check 2 A.2.8 B.2.08 C D.0.125

Over Lesson 3–1 5-Minute Check 3 A.0.7 B.0.79 C D.7.9 – –

Over Lesson 3–1 5-Minute Check 4 A.= B.< C.>

Over Lesson 3–1 Enter question text... A.> B.< C.=

Over Lesson 3–1 5-Minute Check 6 A.0.16 B.0.59 C D.0.60 Nancy made 16 of 27 free-throws last basketball season. What is Nancy’s free-throw rate to the nearest thousandth?

Then/Now You have already studied natural numbers, whole numbers, and integers. (Lesson 2–1) Write rational numbers as fractions. Identify and classify rational numbers.

Vocabulary rational numbers

Example 1 Write Mixed Numbers and Integers as Fractions Answer:

Example 1 Write Mixed Numbers and Integers as Fractions Answer:

Example 1 A. B. C. D.

Example 1 B. Write –6 as a fraction. A. B. C. D.

Example 2 Write Terminating Decimals as Fractions A. Write 0.26 as a fraction in simplest form is 26 hundredths. Answer: Simplify. The GCF of 26 and 100 is 2.

Example 2 Write Terminating Decimals as Fractions B. SHIPPING The shipping weight of a package is pounds. Write this decimal as a mixed number in simplest form is 875 thousandths. Answer: The GCF of 875 and 1000 is 125.

Example 2 A. Write 0.84 as a fraction in simplest form. A. B. C. D.

Example 2 B. RUNNING Mary runs the hundred meter dash in seconds. Write this decimal as a mixed number in simplest form. A. B. C. D.

Example 3 Write Repeating Decimals as Fractions Subtract N from 100N to eliminate the repeating part, Write 0.39 as a fraction in simplest form. N= Let N represent the number. 100N=100( )Multiply each side by 100 because two digits repeat. 100N=39.39

Example 3 Write Repeating Decimals as Fractions Answer: Divide each side by 99. Simplify. 100N – N = 100N – 1N or 99N ENTER÷ Check

Example 3 A. B. C. D.

Concept

Example 4 Classify Numbers A. Answer:.

Example 4 Classify Numbers B. Identify all sets to which the number … belongs This is a nonterminating and nonrepeating decimal. Answer:So, it is irrational.

Example 4 Classify Numbers C. Identify all sets to which the number 15 belongs. Answer: 15 is a whole number, an integer, and a rational number.

Example 4 A.whole number, rational B.integer, rational C.not rational D.rational A.

Example 4 A.integer, rational B.whole number, integer C.rational D.irrational B. Identify all sets to which belongs.

Example 4 A.whole number, rational B.whole number, integer, rational C.integer, rational D.rational C. Identify all sets to which –12 belongs.

End of the Lesson