1. Slide 1 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Chapter 2 The Whole Numbers Chapter 1

2. Slide 2 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Adding Whole Numbers, and Perimeter Section1.3

3. Slide 3 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Adding Whole Numbers An electronics store received a shipment of two boxes of iPods one day and an additional four boxes of iPods the next day. The total shipment in the two days can be found by adding 2 and 4. The sum (or total) is 6 boxes. 2 and 4 are called addends, and the process of finding the sum is called addition.

4. Slide 4 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Adding Whole Numbers To add whole numbers, we add the digits in the ones place, then the tens place, then the hundreds place, and so on. Add 2236 + 160 Line up numbers vertically so that the place values correspond. Then add the digits in corresponding place values, starting with the ones place.

5. Slide 5 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Adding Whole Numbers When the sum of digits in corresponding place values is more than 9, carrying is necessary. Example: 365 + 89

6. Slide 6 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Example Add: 32,285 + 149,761

7. Slide 7 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Adding Whole Numbers Addition Property of 0 The sum of 0 and any number is that number. For example, 7 + 0 = 7 0 + 7 = 7 Next, notice that we can add any two whole numbers in any order and the sum is the same. For example, 4 + 5 = 9 and 5 + 4 = 9. We call this special property of addition the commutative property of addition.

8. Slide 8 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Adding Whole Numbers Commutative Property of Addition Changing the order of two addends does not change their sum. For example, 2 + 3 = 5 and 3 + 2 = 5.

9. Slide 9 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Adding Whole Numbers Associative Property of Addition Changing the grouping of addends does not change their sum. For example, 3 + (5 + 7) = 3 + 12 = 15 and (3 + 5) + 7 = 8 + 7 = 15.

10. Slide 10 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Finding the Perimeter of a Polygon A polygon can be described as a flat figure formed by line segments connected at their ends. The perimeter of a polygon is the distance around the polygon. This means that the perimeter of a polygon is the sum of the lengths of its sides.

11. Slide 11 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Example Find the perimeter of the polygon. 5 in 8 in 4 in 3 in 6 in

12. Slide 12 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Solving Problems by Adding Key Words or Phrases ExampleSymbols added to 2 added to 3 2 + 3 plus 5 plus 93 5 + 93 increased by 13 increased by 5 13 + 5 more than 9 more than 30 9 + 30 total the total of 3 and 5 3 + 5 sum the sum of 391 and 3 391 + 3

13. Slide 13 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Example The state of Hawaii has 1851 miles of urban highways and 2291 miles of rural highways. Find the total highway mileage in Hawaii. (Source: U.S. Federal Highway Administration)

14. Slide 14 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Example As years pass, the number of endangered species per country increases. In the following graph, each bar represents a country and the height of each bar represents the number of endangered species identified in that country. (See graph on the next slide)

15. Slide 15 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Find the total number of threatened amphibians for Brazil, Peru, and Mexico.