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Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

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Warm Up Find the GCF of each set of numbers. 1. 15, 24 2. 30, 60 3. 54, 102 4. 12, 16, 24 3 30 6 4

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**Write the day of the month as the product of two factors.**

Problem of the Day Write the day of the month as the product of two factors. Possible answer: 12th of the month, 6 2

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Vocabulary mixed number terminating decimal repeating decimal

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A number that contains both a whole number greater than 0 and a fraction, such as 1 , is called a mixed number. __ 3 4 Mixed numbers 1 4 1 2 3 4 __ 4 1 1 __ 2 1 __ 4 3 2 __ 4 1 2 __ 1

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**Additional Example 1A: Writing Decimals as Fractions or Mixed Numbers**

Write each decimal as a fraction or mixed number. 0.67 0.67 Identify the place value of the digit farthest to the right. 100 ____ 67 The 7 is in the hundredths place, so use 100 as the denominator. Remember! Ones Tenths Hundredths Thousandths Place Value

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**Additional Example 1B: Writing Decimals as Fractions or Mixed Numbers**

Write each decimal as a fraction or mixed number. 5.9 5.9 Identify the place value of the digit farthest to the right. 10 ___ 9 5 Write the whole number, 5. The 9 is in the tenths place, so use 10 as the denominator.

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Check It Out: Example 1A Write each decimal as a fraction or mixed number. 0.24 100 ____ 24 25 6 or

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**Write each decimal as a fraction or mixed number.**

Check It Out: Example 1B Write each decimal as a fraction or mixed number. 3.07 100 ___ 7 3

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**Write each decimal as a fraction or mixed number.**

Check It Out: Example 1C Write each decimal as a fraction or mixed number. 0.5 10 __ 5 2 1 or

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**Write each decimal as a fraction or mixed number.**

Check It Out: Example 1D Write each decimal as a fraction or mixed number. 4.8 10 ____ 8 5 4 or

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**Additional Example 2A: Writing Fractions as Decimals**

Write each fraction or mixed number as a decimal. 20 ____ 3 .1 5 Divide 3 by 20. 20 3 .00 Add zeros after the decimal point. - 20 100 - 100 The remainder is 0. 20 ____ 3 = 0.15

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Writing Math To write a repeating decimal, you can show three dots or draw a bar over the repeating part: 0.666… = 0.6

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**Additional Example 2B: Writing Fractions as Decimals**

Write each fraction or mixed number as a decimal. 3 __ 1 6 .3 3 3 Divide 1 by 3. 3 1 .000 Add zeros after the decimal point. - 9 10 The 3 repeats in the quotient. - 9 10 - 9 6.333… = 6.3 _ 1 3 __ 1 6 =

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**Write each fraction or mixed number as a decimal.**

Check It Out: Example 2A Write each fraction or mixed number as a decimal. 20 ____ 5 .00 - 40 .2 5 20 100 - 100 __ = 0.25

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**Write each fraction or mixed number as a decimal.**

Check It Out: Example 2B Write each fraction or mixed number as a decimal. 8 __ 1 3 .000 - 8 1 8 20 - 16 0.125 40 = - 40 __ 3 3.125

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**Write each fraction or mixed number as a decimal.**

Check It Out: Example 2C Write each fraction or mixed number as a decimal. 9 __ 7 0.777 .000 - 63 7 9 70 = __ 0.7

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**Common Fractions and Equivalent Decimals**

A terminating decimal, such as 0.75, has a finite number of decimal places. A repeating decimal, such as 0.666…, has a block of one or more digits that repeat continuously 0.8 0.75 0.6 0.5 0.4 0.3 0.25 0.2 Common Fractions and Equivalent Decimals 1 5 __ 1 4 __ 1 3 __ 2 5 __ 1 2 __ 3 5 __ 2 3 __ 3 4 __ 4 5 __

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**Additional Example 3: Comparing and Ordering Fractions and Decimals**

Order the fractions and decimal from least to greatest. __ 3 __ 7 , 0.8, 4 10 3 __ 4 __ 10 7 First rewrite the fractions as decimals = = 0.7 Order the three decimals. 7 __ 10 3 __ 4 0.7 0.75 0.8 The numbers in order from least to greatest are , , and 0.8. 7 10 3 4

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**Order the fractions and decimal from least to greatest.**

Check It Out: Example 3A Order the fractions and decimal from least to greatest. __ , 0.35, 1 1 __ 4 2 1 __ 4 2 , 0.35 ,

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**Order the fractions and decimal from least to greatest.**

Check It Out: Example 3B Order the fractions and decimal from least to greatest. 3 0.3, __ , 0.53 5 0.3, 0.53, __ 5 3

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**Order the fractions and decimal from least to greatest.**

Check It Out: Example 3C Order the fractions and decimal from least to greatest. 9 __ , 0.89 , 0.90 10 0.89 , __ 10 9 , 0.90

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Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

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**Write each decimal as a fraction or mixed number. 1. 0.24 2. 6.75 **

Lesson Quiz: Part I Write each decimal as a fraction or mixed number. Write each fraction or mixed number as a decimal. 6 25 ____ 6 3 4 __ 3 5 __ 2.6 8 __ 7 0.875

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**5. Order the fractions and decimals from least to greatest.**

Lesson Quiz: Part II 5. Order the fractions and decimals from least to greatest. 0.38, , 6. Jamal ran the following distances on three different days: 0.87 mile, mile, and 0.13 mile. Order the distances from least to greatest. 3 4 __ 1 5 __ 1 5 __ , 0.38, 3 4 __ 2 3 __ 2 3 __ 0.13, , 0.87

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**Lesson Quiz for Student Response Systems**

1. Which of the following represents the given decimal as a fraction? 0.26 A C. B D.

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**Lesson Quiz for Student Response Systems**

2. Which of the following represents the given decimal as a mixed number? 5.25 A C. B D.

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**Lesson Quiz for Student Response Systems**

3. Which of the following represents the given mixed number as a decimal? A C. 3.5 B D. 5.2

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**Lesson Quiz for Student Response Systems**

4. Which of the following represents the given fraction as a decimal? A C B D

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**Lesson Quiz for Student Response Systems**

5. Which of the following represents the given fractions and decimals ordered from least to greatest? A C. B D.

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