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Name: _________________________________________________ Date: _______________________ Class: _________________________ NWP HW #1 1) In the table below, list each set of rational numbers from greatest to least. Then, in the appropriate column, state which number was farthest right and which number was farthest left on the number line. Rational Numbers Ordered from Greatest to Least Farthest Right on the Number Line Farthest Left on the Number Line -1.75, -3.25 -9.7, -9 4 ,0 5 4 -70, -70 5 -15, -5 1 , −2 2 -99, -100, -99.3 a. Describe the relationship between the number in the “Farthest Right on the Number Line” column and its order in the “Ordered from Greatest to Least” column. Why is this? _______________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________ b. Describe the relationship between the number in the “Farthest Left on the Number Line” column and its order in the “Ordered from Greatest to Least” column. Why is this? _______________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________ 2) If two rational numbers, a and b, are ordered and a is less than b, then what must be true about the order for their opposites? _______________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________ Next Page 3) Read each statement, and then write a statement relating the opposites of each of the given numbers: (Hint: Writing a statement relating the numbers is simply comparing the numbers) a. 7 is greater than 6. b. 39.2 is greater than 30. 1 1 c. − 5 is less than 3. 1 1 4) Order the following from least to greatest: −8, −19, 0, 2 , 4. 1 5) Order the following from greatest to least: −12, 12, −19, 1 2 , 5.