Date: 2.1 Comparing and Ordering Rational Numbers MathLinks 9, pages 46–54 Key Ideas Review 1. a) Circle the rational number(s). 3 -__ 2.1 2 __ √2 -55 -21 ____ -7 3 __ 1 3 π b) Circle the numbers that are equivalent to 3. 9 -__ ( -15 - ____ 3.0 3 3 __ √9 ) Choose from the following rational numbers to complete #2. 3 __ 4 5 __ 4 -2.1 0 __ 3 3 -__ 14 -__ 1.8 4 5 6 __ 4 2. a) Fill in the blanks to identify the rational numbers. -3 -2 0 -1 1 2 3 b) Circle the opposite numbers. c) Which rational number lies between 0 and 1? Check Your Understanding 3. Match each rational number to a point on the number line. A -3 B -2 C -1 D 0 E 1 2 3 4. a) Fill in each blank using the correct rational number from the list. 7 __ 8 -2.2 _ 11 __ 6 -1.1 10 __ 8 a) -0.6 3 b) -__ -2 0 -1 1 2 2 3 c) -2__ 4 b) Place the opposite of each number on the number line. d) 1.9 5. What is the opposite of each rational number? _ e) 0.3 f) Explain your thinking. 16 MHR • Chapter 2 978-007-097344-2 3 a) __ 2 _ b) -6.8 1 c) -2__ 5 Date: 6 9 2 , -1.7, and __ . 6. Compare __, 0.511, -1__ 11 3 8 a) Write the fractions in decimal form. 12. Change each fraction to a decimal. Then, identify a decimal number between the given numbers. 1 __ ,1 a) __ 4 8 b) Write the numbers in ascending 2 , -__ 4 b) -__ 3 5 order. 5 3 12 7. Compare __, 0.7, -__ , -2.1, and -1__ . 5 4 6 13. The table lists the average low temperature of the coldest month in eight Canadian cities. a) Write the fractions in decimal form. City b) Write the numbers in descending order. 8. Express each fraction as an equivalent fraction. 3 a) -__ 4 b) -__ 12 c) __ 5 d) -__ 4 Winnipeg -23.6 Regina -22.1 Edmonton -17.0 Calgary -15.7 Vancouver 0.1 Victoria 6.5 Whitehorse -23.2 Yellowknife -32.2 a) Write the temperatures in descending order. 6 8 Average Low (°C) 3 9. Write each rational number as an equivalent fraction. 5 a) ___ -8 -7 b) ___ -9 -1 c) ___ 4 -8 d) - ___ ( -7 ) b) What is the difference in temperature between Victoria and Calgary? Show your work. 10. Circle the greater value in each pair. 3 4 , __ b) -__ 5 1 1 c) -1__ , -1__ 6 3 3 , -__ 7 d) -__ 4 8 3 5 3 make each statement true. Show your thinking. 11. Circle the smaller value in each pair. 2 __ ,4 a) __ 3 5 3 a) -__ 4 5 b) -__ -0.8 11 -__ 6 3 5 , -__ 11 b) -__ 6 5 , -__ 7 c) -__ 4 with >, <, or = to 14. Fill in each 1 1 , -__ a) __ 4 2 5 6 4 , -2__ d) -2 __ 5 c) -0.81 4 d) - ____ -__ ( -12 5 -5 ) -2.4 2.1 Comparing and Ordering Rational Numbers • MHR 17
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