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Lesson Menu Five-Minute Check (over Lesson 2–1) Main Idea Example 1:Compare Positive Rational Numbers Example 2:Compare Using Decimals Example 3:Real-World Example: Order Rational Numbers Example 4:Compare Negative Rational Numbers Example 5:Compare Negative Rational Numbers
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Main Idea/Vocabulary Compare and order rational numbers.
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Example 1 Compare Positive Rational Numbers Write as fractions with the same denominator. Replace ■ with, or = to make ■ a true sentence. Answer:
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1.A 2.B 3.C Example 1 A.> B.< C.= Replace ■ with, or = to make ■ a true sentence.
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Example 2 Compare Using Decimals Express as a decimal. Answer: Replace ■ with, or = to make 0.7 ■ a true sentence. ■ ■ In the tenths place, 7 > 6.
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1.A 2.B 3.C Example 2 A.> B.< C.= Replace ■ with, or = to make ■ 0.5 a true sentence.
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Example 3 CHEMISTRY The values for the approximate densities of various substances are shown in the table. Order the densities from least to greatest. Order Rational Numbers Write each fraction as a decimal.
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Example 3 Order Rational Numbers Answer: From the least to the greatest, the densities are So, the nylon is the least dense, and aluminum is the most dense.
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1.A 2.B 3.C 4.D Example 3 AMUSEMENT PARKS The ride times for five amusement park attractions are shown in the table. Order the lengths from least to greatest. A. B. C. D.
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Example 4 Replace ■ with, or = to make –4.62 ■ –4.7 a true sentence. Graph the decimals on a number line. Answer: Since –4.62 is to the right of –4.7, –4.62 > –4.7. Compare Negative Rational Numbers
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1.A 2.B 3.C Example 4 A.< B.> C.= Replace ■ with, or = to make –2.67 ■ –2.7 a true sentence.
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Example 5 Since the denominators are the same, compare the numerators. Compare Negative Rational Numbers Replace ■ with, or = to make a true sentence. Answer:
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1.A 2.B 3.C Example 5 A.> B.< C.= Replace ■ with, or = to make a true sentence.
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End of the Lesson
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Resources Five-Minute Check (over Lesson 2–1) Image Bank Math Tools Multiplying Fractions Multiplying and Dividing Fractions
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1.A 2.B 3.C 4.D Five Minute Check 1 A.1.143 B.0.875 C.0.78 D.0.13 (over Lesson 2-1) Write the fraction as a decimal.
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1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 2-1) Write the fraction as a decimal. A.–2.4 B.–0.4166 C.0.416 D.2.4 ¯
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1.A 2.B 3.C 4.D Five Minute Check 3 A.2.15 B.2.3 C.0.3 D.0.15 (over Lesson 2-1) Write the
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1.A 2.B 3.C 4.D Five Minute Check 4 Write the decimal 0.08 as a fraction in simplest form. (over Lesson 2-1) A. B. C. D.
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1.A 2.B 3.C 4.D Five Minute Check 5 Write the decimal 1.375 as a mixed number in simplest form. (over Lesson 2-1) A. B. C. D.
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1.A 2.B 3.C 4.D Five Minute Check 6 The largest moth is the Atlas moth. The Atlas moth is 11.8 inches long. Which of the following is the length of an Atlas moth written as a mixed number? (over Lesson 2-1) A. B. C. D.
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