logging in or signing up Lesson 1.4 - Adding Real Numbers freylerl Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: Embed: Flash iPad Dynamic Copy Does not support media & animations Automatically changes to Flash or non-Flash embed WordPress Embed Customize Embed URL: Copy Thumbnail: Copy The presentation is successfully added In Your Favorites. Views: 957 Category: Education License: All Rights Reserved Like it (1) Dislike it (0) Added: July 09, 2009 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript Properties : Properties Identity Property of Addition Examples: 0 + 5 = 5 -5 + 0 = -5 Inverse Property of Addition Examples: 17 + (-17) = 0 -17 + 17 = 0 Adding Real Numbers : Start at –3. Move right 5 units. Start at 3. a. 3 + (–5) b. –3 + 5 3 + (–5) = –2 Use a number line to simplify each expression. Move left 5 units. ALGEBRA 1 LESSON 1-4 Adding Real Numbers 1-4 -3 + 5 = 2 Rules : Rules Adding Numbers With the Same Sign Add their absolute values and give the sum the same sign Examples: 2 + 6 = 8 -2 + (-6) = -8 Adding Numbers With Different Signs *Subtract the absolute values and give the answer the same sign as the greatest absolute value. Examples: -2 + 6 = 4 2 + (-6) = -4 Adding Real Numbers : Simplify each expression. 12 + (–23) b. –6.4 + (–8.6) The difference of the absolute values is 11. The negative addend has the greater absolute value, so the sum is negative. Since both addends are negative, add their absolute values. The sum is negative. ALGEBRA 1 LESSON 1-4 Adding Real Numbers 1-4 You try: : You try: Find the sum: (a.) -7 + (-4) -11 (b.) -26.3 + 8.9 -17.4 Real World Problem Solving : The water level in a lake rose 6 inches and then fell 11 inches. Write an addition statement to find the total change in water level. 6 + (–11) = –5 The water level fell 5 inches. ALGEBRA 1 LESSON 1-4 Real World Problem Solving 1-4 You try: : You try: The temperature falls 15 degrees and then rises 18 degrees. Use addition to find the change in temperature. -15 + 18 = 3, 3° is the change in temperature Evaluating Expressions : Evaluate 3.6 + (–t) for t = –1.7. 3.6 + (–t) 3.6 + (–(–1.7)) Substitute –1.7 for t. 3.6 + [1.7] –(–1.7) means the opposite of –1.7, which is 1.7. 5.3 Simplify. ALGEBRA 1 LESSON 1-4 Evaluating Expressions 1-4 You try: : You try: Evaluate the expression for t = -7.1 -t + 7.49 -(-7.1) + 7.49 7.1 + 7.49 14.59 Real-World Problem Solving : A scuba diver who is 88 ft below sea level begins to ascend to the surface. Define: Let r = the number of feet the diver rises. a. Write an expression to represent the diver’s depth below sea level after rising any number of feet. Think: 88 ft below sea level plus feet diver rises Write: –88 + r –88 + r ALGEBRA 1 LESSON 1-4 Real-World Problem Solving 1-4 Problem Continued: : Problem Continued: b. Find the new depth of the scuba diver after rising 37 ft. –88 + r –88 + 37 Substitute 37 for r. – 51 Simplify. The scuba diver is 51 ft below sea level. You try: : You try: The temperature one winter morning is -14°F. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of 11 degrees Fahrenheit. C = change in temperature -14 + c -14 + c -14 + (-11) -25 The temperature decreased -25°F Adding Matrices : ALGEBRA 1 LESSON 1-4 Adding Matrices 1-4 You Try: : You Try: Find the sum: You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.