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Five-Minute Check (over Lesson 3–1) Main Idea and Vocabulary Example 1: Compare Decimals Example 2: Order Decimals Lesson Menu
Compare and order decimals. inequality equivalent decimals Main Idea/Vocabulary
Compare Decimals BASEBALL The table below lists the final winning percents for several American League baseball teams in a recent year. Use > or < to compare New York’s percent with Cleveland’s percent. Example 1
First, line up the decimal points. Compare Decimals Method 1 Use place value. First, line up the decimal points. New York: 0.594 Cleveland: 0.562 New York: 0.594 Cleveland: 0.562 Then, starting at the left, find the first place the digits differ. Compare the digits. Answer: Since 9 > 6, 0.594 > 0.562. Example 1
Method 2 Use a number line. Compare Decimals Method 2 Use a number line. Numbers to the right are greater than numbers to the left. Since 0.594 is to the right of 0.562, 0.594 > 0.562. Answer: New York had the higher winning percentage. Example 1
EXAMS In Mr. Smith’s math class, 29 EXAMS In Mr. Smith’s math class, 29.65% of the students earned a grade of “A” at the end of the semester. In Mrs. Dempsey’s class, 29.85% of the students earned a grade of “A” at the end of the semester. Use > or < to compare the percent in Mr. Smith’s class with the percent in Mrs. Dempsey’s class. 29.65% < 29.85% 29.65% > 29.85% A B Example 1
Order 25, 25.1, 24.36, and 25.03 from least to greatest. Order Decimals Order 25, 25.1, 24.36, and 25.03 from least to greatest. First, line up the decimal points. Next, annex zeros so all numbers have the same final place value. Finally, compare and order using place value. 25 25.1 24.36 25.03 25.00 25.10 24.36 25.03 24.36 25.00 25.03 25.10 Answer: The order from least to greatest is 24.36, 25, 25.03, and 25.1. Example 2
Order 71, 71.04, 70.89, and 71.4 from least to greatest. 71.4, 71.04, 71, 70.89 71.4, 71, 71.04, 70.89 70.89, 71.04, 71, 71.4 70.89, 71, 71.04, 71.4 A B C D Example 2
End of the Lesson End of the Lesson
Five-Minute ChecK (over Lesson 3–1) Image Bank Math Tools Modeling Decimals Dividing Decimals Modeling Decimals Resources
twelve and four hundredths twelve and four thousandths (over Lesson 3-1) Write 12.004 in word form. twelve and four twelve and four tenths twelve and four hundredths twelve and four thousandths A B C D Five Minute Check 1
eight and thirty-seven eight and thirty-seven tenths (over Lesson 3-1) Write 8.37 in word form. eight and thirty-seven eight and thirty-seven tenths eight and thirty-seven hundredths eight and thirty-seven thousandths A B C D Five Minute Check 2
Write forty-eight thousandths in standard form and in expanded form. (over Lesson 3-1) Write forty-eight thousandths in standard form and in expanded form. 0.048; (4 0.01) + (8 0.001) 40.008; (4 10) + (8 0.001) 0.0048; (4 0.001) + (8 0.0001) 0. 48; (4 0.1) + (8 0.01) A B C D Five Minute Check 3
(over Lesson 3-1) Write fourteen and five hundred six thousandths in standard form and expanded form. 14,500.006; (1 10,000) + (4 4,000) + (5 100) + (6 0.006) 14.506; (1 10) + (4 1) + (5 0.1) + (6 0.001) 14.0506; (1 10) + (4 1) + (5 0.01) + (6 0.0001) 0.14506; (1 0.1) + (4 0.01) + (5 0.001) + (6 0.00001) A B C D Five Minute Check 4
(over Lesson 3-1) Daniel purchased a book for seven dollars and eighty-two cents. Write this amount in standard form. $782 $82.7 $7.82 $0.782 A B C D Five Minute Check 5
(over Lesson 3-1) Julia has sapphire earrings that are eight hundredths of a karat in size. Which decimal represents eight hundredths? 0.8 0.08 0.008 0.0008 A B C D Five Minute Check 6
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