1. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 1 The Whole Numbers

2. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 1.6 Multiplying Whole Numbers and Area

3. Martin-Gay, Developmental Mathematics, 2e 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Multiplying Whole Numbers Multiplication is repeated addition but with different notation. 6 + 6 + 6 + 6 + 6 = The  is called a multiplication sign.

4. Martin-Gay, Developmental Mathematics, 2e 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Properties Multiplication Property of 0 The product of 0 and any number is 0. For example, 5  0 = 0 and 0  8 = 0. Multiplication Property of 1 The product of 1 and any number is that same number. For example, 1  9 = 9 and 7  1 = 7.

5. Martin-Gay, Developmental Mathematics, 2e 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Properties Commutative Property of Multiplication Changing the order of two factors does not change their product. For example, 4  3 = 12 and 3  4 = 12. Associative Property of Multiplication Changing the grouping of factors does not change their product. For example, (2  3)  4 = 2  (3  4).

6. Martin-Gay, Developmental Mathematics, 2e 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Properties Distributive Property Multiplication distributes over addition. For example, 2(3 + 4) = 2  3 + 2  4

7. Martin-Gay, Developmental Mathematics, 2e 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example Rewrite 4(5 + 6) using the distributive property. 4(5 + 6) = 4  5 + 4  6

8. Martin-Gay, Developmental Mathematics, 2e 88 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Multiplying Whole Numbers Example: Use the distributive property to multiply 3 and 79. Write 79 in expanded form. Apply the Distributive Property. Multiply. Add.

9. Martin-Gay, Developmental Mathematics, 2e 99 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Multiplying Whole Numbers Example: Multiply 624 by 3.

10. Martin-Gay, Developmental Mathematics, 2e 10 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Multiplying Whole Numbers Example: Multiply 91 by 72.

11. Martin-Gay, Developmental Mathematics, 2e 11 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Multiplying Whole Numbers Ending in Zero(s) Example: Multiply 3 by 9000. 3  9000 = 3  9  1000 = (27)  1000 = 27,000

12. Martin-Gay, Developmental Mathematics, 2e 12 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Finding the Area of a Rectangle Example: Find the area of the following rectangle. 12 inches 4 inches

13. Martin-Gay, Developmental Mathematics, 2e 13 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Solving Problems by Multiplying Key Words or Phrases ExampleSymbols Multiply Multiply 3 by 4 3  4 Product The product of 5 and 10 5  10 Times 6 times 4 6  4

14. Martin-Gay, Developmental Mathematics, 2e 14 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example A particular color printer can print 21 pages per minute. How many pages can it print in 25 minutes? Pages per minute  Number of minutes = 21  25