Chapter 1 Introduction to Algebra: Integers

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Presentation transcript:

Chapter 1 Introduction to Algebra: Integers 1.3 Adding Integers Chapter 1 Introduction to Algebra: Integers

1.3 Adding Integers Objectives Add integers. Identify properties of addition. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Add integers. Numbers that you add together are called addends, and the result is called a sum. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Add integers. Use a number line to find –5 + –4 (use a football analogy). Example Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Add integers. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Add integers. Add the integers –8 + –7. Example Step 1 Add the absolute values. |–8| = 8 and |–7| = 7 Add 8 + 7 to get 15. Step 2 Use the common sign as the sign of the sum. –8 + –7= –15 Both negative Sum is negative Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Add integers. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Add integers. Add the integers 3 + –8. Example Step 1 |3| = 3 and |–8| = 8 Subtract 8 – 3 to get 5. Step 2 –8 has the larger absolute value and is negative, so the sum is also negative. 3 + –8 = –5 Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Add integers. A football team has to gain at least 10 yards during four plays in order to keep the ball. Suppose on four plays a team lost 6 yards, gained 8 yards, lost 2 yards, and gained 7 yards. Did the team gain enough to keep the ball? Example Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Add integers. (continued) Example Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 2: Identify properties of addition. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 2: Identify properties of addition. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 2: Identify properties of addition. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 2: Identify properties of addition. Add 6 + 9 + –9 using the associative property. Example Copyright © 2010 Pearson Education, Inc. All rights reserved.