1. 1
Chapter
Chapter 2
The Whole Numbers

2. Multiplying Whole Numbers and Area
Section
1.6
Multiplying Whole Numbers and Area

3. Multiplying Whole Numbers
Multiplication is repeated addition but with different notation. =
The  is called a multiplication sign.
Objective A

4. Use the Properties of Multiplication.
Objective A
Use the Properties of Multiplication.

5. 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.

6. Example Multiply. a. 4 × 1 b. 0(5) c. 1(52) d. (76)(0) = 4 = 0 = 52

7. 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).

8. Properties Distributive Property
Multiplication distributes over addition. For example,
2(3 + 4) = 2   4

9. Example Rewrite 4(5 + 6) using the distributive property.
4(5 + 6) = 4   6

10. Multiply Whole Numbers.
Objective B
Multiply Whole Numbers.

11. Multiplying Whole Numbers
Example:
Use the distributive property to multiply 3 and 79.
Write 79 in expanded form.
Apply the Distributive Property.
Objective B
Multiply.
Add.

12. Multiplying Whole Numbers
Example:
Multiply 624 by 3.
Objective B Continued

13. Multiplying Whole Numbers
Example:
Multiply 91 by 72.
Objective B Continued

14. Multiply by Whole Numbers Ending in Zero(s).
Objective C
Multiply by Whole Numbers Ending in Zero(s).

15. Multiplying Whole Numbers Ending in Zero(s)
Example:
Multiply 3 by 9000.
3  9000 = 3 • 9 • 1000
= (27) • 1000
= 27,000
Objective C

16. Example
Multiply 35 • • 3000 = 105,000
Objective C

17. Example
Multiply 600  • 600 = 360,000
Objective C

18. Find the Area of a Rectangle.
Objective D
Find the Area of a Rectangle.

19. Finding the Area of a Rectangle
Example:
Find the area of the following rectangle.
12 inches
4 inches
Objective D

20. Solve Problems by Multiplying Whole Numbers.
Objective E
Solve Problems by Multiplying Whole Numbers.

21. Solving Problems by Multiplying
Key Words or Phrases
Example
Symbols
Multiply
Multiply 3 by 4
3  4
Product
The product of 5 and 10
5  10
Times
6 times 4
6  4
Objective E

22. 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
=  25
Objective C

23. Example
A professor of history purchased DVDs and CDs through a club. Each DVD was priced at $11 and each CD cost $9. He bought eight DVDs and five CDs. Find the total cost of the order. Price of 8 DVDs = (11)(8) = $88 Price of 5 CDs = 5(9) = $45 Total = $88 + $45 = $133

24. Example
If an average page in a book contains 163 words, estimate, rounding each number to the nearest hundred, the total number of words contained on 391 pages. 163 rounds to rounds to (400) = 80,000 words