102 Chapter 2 Fractions and Mixed Numbers: Multiplication and Division Plotting Fractions on a Number Line Example 9 Plot the point on the number line corresponding to each fraction. a. b. c. Solution: a. Divide the distance between 0 and 1 into 2 equal parts. 1 2 b. Divide the distance between 0 and 1 into 6 equal parts. c. Write as a mixed number. 5 6 Thus, is located one-fifth of the way between 4 and 5 on the number line. 41 5 0 1 2 3 4 5 21 5 415 21 5 21 5 4 1 5 0 1 5 6 0 1 1 2 21 5 5 6 1 2 3 4 0 1 Answers 17. 18. 19. 4 5 0 1 1 3 0 1 31 4 0 1 2 3 4 4. Fractions and the Number Line Fractions can be visualized on a number line. For example, to graph the fraction , divide the distance between 0 and 1 into 4 equal parts. To plot the number , start at 0 and count over 3 parts. 34 3 4 Skill Practice Plot the numbers on a number line. 17. 18. 19. 13 4 1 3 4 5 Section 2.1 Practice Exercises Study Skills Exercise After doing a section of homework, check the odd-numbered answers in the back of the text. Choose a method to identify the exercises that gave you trouble (i.e., circle the number or put a star by the number). List some reasons why it is important to label these problems. Vocabulary and Key Concepts 1. a. When a whole unit is divided into parts, we call the parts _______________ of the whole unit. b 0 ab b. Given a fraction , where a and b are whole numbers and , the top number a is called the _______________ and the bottom number b is called the _______________. c. A fraction whose numerator is less than its denominator is called a _______________ fraction. d. A fraction whose numerator is greater than or equal to its denominator is called an _____________ fraction. e. A _______________ number is the sum of a whole number and a fractional part of a whole.
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