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Ordering Real Numbers
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Warm Up Order the numbers from least to greatest.
7 , 2, 220 , −10, , 11.5 10 , 𝜋, 3.5 8 , −3.75, 3, 9 4
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Order a set of real numbers.
Use rational approximations to compare the sizes of irrational numbers. Order numbers for real-world situations. Compare irrational numbers. Estimate the value of expressions with irrational numbers. Understand the relative sizes of numbers in different forms in the real number system.
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To order a set of real numbers, find their approximate decimal values and order them.
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To order two numbers in different forms whose decimal approximations appear to be equal, approximate one or both numbers to an additional number of decimal places.
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Give an example of each type of number.
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Jill says that 12. 6 is less than 12.63. Explain her error.
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