2b. -42 + 6 - u-10 + 3u =-42 + 6 - u-7u Add inside the absolute value. = -16 + 6 - (7) Simplify 42 and u-7u . = -16 + 6 - 7 = -10 - 7 Add from left to right. = -17 2c. 5 - {4 - 6 - (1 - 12 - (-2))} Rewrite the subtraction inside the square root symbol as addition. = 5 - {4 - 6 - (1 - 12 +2)} Add inside the square root. = 5 - {4 - 6 - (1 - 14)} Simplify the square root. = 5 - {4 - 6 - (1 - 2)} Subtract the numbers in parentheses. = 5 - {4 - 6 - (-1)} Rewrite the expression inside the brackets as addition. = 5 - {4 - 6 + 1} Add the numbers inside the brackets. = 5 - {4 - 7} Subtract the numbers inside the braces. = 5 - {-3} Rewrite the subtraction as addition. = 5 + 3 Add. = 8 Student Check 2 Simplify each expression. a. -2 - 1 - (-3) + 5 b. -33 + 15 - u4 - (-2)u c. -8 - 52 - 7 - (3 - 125 - 16)6 Applications Subtracting real numbers occurs in real life when we need to find changes in temperatures, elevation, the stock market, bank accounts, and so on. It is important to be able to express the given change mathematically. We will use the skills from Section 1.3 to express mathematical relationships together with the skills for adding and subtracting real numbers. Other types of applications come from the study of geometry. There are some special angle relationships that are helpful to know. ������������������������ The sum of the measure of the angles in a triangle is 180°. a + b + c = 180° A b c ������������������������ Complementary Angles Complementary angles are two angles whose sum is 90°. Complementary angles form a right angle when they are adjacent to one another. A right angle is an angle whose measure is 90°. If a and b are complementary angles, then the sum of their measures is 90°. a + b = 90° Objective 3 ▶ Solve real-life problems. a B C 52 Chapter 1 Real Numbers and Algebraic Expressions
hendricks_beginning_algebra_1e_ch1_3
To see the actual publication please follow the link above