i. Complete the chart by showing how the price of the stock changed from the previous day to the next and by calculating the percent change in the price for each day. ii. After completing the chart, find the average daily change in price. Troubleshooting Common Errors Some common errors associated with multiplying and dividing real numbers are shown next. One of the main errors arises when negative signs are involved in exponential expressions. Other errors occur when division with zero is involved. �� ������������������������ ������������������ A problem and an incorrect solution are given. Provide the correct solution and an explanation of the error. 6a. Simplify -72. �������������������������������������� ���������������������������������������������������������������� The base of the exponential expression is 7. The negative sign indicates that we find the opposite of squared. -72 = -(7 · 7) = -49 6b. Simplify -2 0 . �������������������������������������� ���������������������������������������������������������������� When we divide by zero, the expression is undefined. So, -2 2 - is undefined. 0 0 0 6c. Simplify = 0 -2 . �������������������������������������� ���������������������������������������������������������������� When zero is divided by any nonzero number, the result is zero. So, -2 0 = 0 -2 is undefined Objective 6 ▶ Troubleshoot common errors. -72 = 4 9 0 undefin ANSWERS TO STUDENT CHECKS Student Check 1 a. -15 b. 24 c. -1 d. 1 3 e. -571 f. -84 g. 72 Student Check 2 a. 64 b. -64 c. - 32 243 d. 0.125 Student Check 3 a. -6 b. 0 c. 5 d. - 1 15 e. 11 15 f. 5 9 Student Check 4 a. 13 b. undefined, 3, 1, 1 3 , 0 66 Chapter 1 Real Numbers and Algebraic Expressions
hendricks_beginning_algebra_1e_ch1_3
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