10.3 Subtracting Signed Numbers What are your objectives for Section 10.3? How can you accomplish each objective? 1 Find the Additive Inverse of a Number • Write the defi nition of additive inverse in your own words, and give an example. • Complete the given example on your own. • Complete You Try 1. 2 Subtract Signed Numbers • Write the procedure for Subtracting Signed Numbers in your own words, and write an example. • Complete the given examples on your own. • Complete You Trys 2 and 3. 3 Combine Adding and Subtracting of Signed • Use the order of operations to simplify expressions. • Complete the given examples on your own, and write a procedure for solving problems involving addition and subtraction. • Complete You Try 4. Read the explanations, follow the examples, take notes, and complete the You Trys. 1 Find the Additive Inverse of a Number In Section 10.1, we learned that two numbers are opposites of each other if they are the same distance from 0 on a number line but are on opposite sides of 0. For example, 3 and 3 are opposites. Distance 5 3 Distance 5 3 24 23 22 21 0 1 2 3 4 The opposite of a number is also called its additive inverse. So, the additive inverse of 3 is 3, and the additive inverse of 3 is 3. What do we get if we add 3 (3)? 23 3 24 23 22 21 0 1 2 3 4 3 1 (23) 5 0 In fact, the sum of any number and its additive inverse is 0. Numbers Definition The opposite of a number is its additive inverse. The sum of a number and its additive inverse is 0. Example: 3 (3) 0 www.mhhe.com/messersmith SECTION 10.3 Subtracting Signed Numbers 733
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