Section 1.2 Fractions Review 13 109. e u-5u, -1.5, 4 3 , 19 f 110. e-u-8u, - π 2 , 14, 5 1 2 f Compare the value of each pair of numbers. Use a <, >, or = symbol to make the statement true. (See Objective 3.) 111. 99 70 12 112. 21 7 π 113. -u-9u 181 114. 116 -u-4u 115. -P- 10 3 P π 2 116. 12 6 14 Find the opposite of each real number. (See Objective 4.) 117. 14 3 118. - 3 11 119. 4.2929 120. -1.55 Simplify each absolute value expression. (See Objective 5.) 121. -u6u 122. u16u 123. u-9.5u 124. -P- 9 8 P You Be the Teacher! Correct each student’s errors, if any. 125. Is the opposite of a number always negative? Betty’s work: Yes, if x is a number, the opposite is -x. 126. Graph the number on the real number line: -1.99. Gloria’s work: –2 –1 0 1 127. Fill in the blank with the appropriate symbol to make the statement true: 5 7 7 10 . Enefiok’s work: 5 7 < 7 10 Calculate It! Approximate the value of each real number to the nearest hundredth. Specify if the number is rational or irrational. 128. π 4 129. π 6 130. 1 + 15 131. 2 + 13 132. 2 + 5 6 133. 4 + 2 9 134. 6 + 181 135. 9 - 14 136. u-142u 137. -u23u �� ������������������������ Fractions Review As of 2009, there were approximately 309 million people living in the United States and approximately 116 million Facebook users in the United States. Write a fraction that represents the part of the United States population that were Facebook users in 2009. (Source: http://flavorwire .com/82308/awesome-infographic-facebook-vs-the-united-states) In this section, we will learn how to use a fraction to represent such information. We will also learn how to simplify fractions and perform operations with fractions. Factoring Numbers To express a number in factored form is to write the number as a product of two or more numbers. For example, in the statement 4 · 5 = 20, the numbers 4 and 5 are called factors and 20 is the product. Factors divide a number evenly without any remainder. The numbers 2, 3, 5, 7, 11, 13, 17, and 19 have something in common. The factors of these numbers are only 1 and the number itself. These types of numbers are called prime numbers. The following prime numbers are written in factored form. 2 = 1 · 2, 3 = 1 · 3, 5 = 1 · 5 ▶ OBJECTIVES As a result of completing this section, you will be able to 1. Write the prime factorization of a number. 2. Define and write fractions. 3. Simplify fractions. 4. Multiply fractions. 5. Divide fractions. 6. Add or subtract fractions with common denominators. 7. Add or subtract fractions with unlike denominators. 8. Troubleshoot common errors. Objective 1 ▶ Write the prime factorization of a number.
hendricks_beginning_algebra_1e_ch1_3
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