1 Alan S. Tussy R. David Gustafson Prealgebra Second Edition Copyright © 2002 Wadsworth Group.

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Presentation transcript:

1 Alan S. Tussy R. David Gustafson Prealgebra Second Edition Copyright © 2002 Wadsworth Group.

2 2.1 An Introduction to the Integers In this section, you will learn about The integers Extending the number line Inequality symbols Absolute value The opposite of a number The - symbol

3 Negative numbers

4 Positive and negative numbers

5 The set of integers

6 Extending the number line

7 Toys R Us Net Income

8 Inequality symbols

9 Absolute value

10 The opposite of a number

11 The - symbol

Addition of Integers In this section, you will learn about Adding two integers with the same sign Adding two integers with different signs The addition property of zero The additive inverse of a number

13 Temperature change

14 Adding two integers with the same sign

15 Adding two integers with the same sign

16 Adding two integers with different signs

17 Adding two integers with different signs

18 Entering negative numbers

19 Addition property of zero

20 The additive inverse of a number

Subtraction of Integers In this section, you will learn about Adding the opposite Order of operations Applications of subtraction

22 Adding the opposite

23 Rule for subtraction

24 EXAMPLE 6 Change of water level. On Monday, the water level in a city storage tank was 6 feet above normal. By Friday, the level had fallen to a mark 4 feet below normal. Find the change in the water level from Monday to Friday.

25 EXAMPLE 7 Artillery accuracy. In a practice session, an artillery group fired two rounds at a target. The first landed 65 yards short of the target, and the second landed 50 yards past it. How far apart were the two impact points?

26 Subtraction with negative numbers

Multiplication of Integers In this section, you will learn about Multiplying two positive integers Multiplying a positive and a negative integer Multiplying a negative and a positive integer Multiplying by zero Multiplying two negative integers Powers of integers

28 Multiplying two positive integers

29 Multiplying a positive and a negative integer

30 Multiplying a negative and a positive integer

31 Multiplying two integers with unlike signs

32 Multiplying by zero

33 Multiplying two negative integers

34 Multiplying two negative integers

35 Multiplying two integers

36 Multiplication with negative numbers

37 Even and odd powers of a negative integer

38 COMMENT and (- 3) 2

39 Raising a negative number to a power

Division of Integers In this section, you will learn about The relationship between multiplication and division Rules for dividing integers Division and zero

41 The relationship between multiplication and division

42 Rules for dividing integers

43 Dividing two integers

44 Division and zero

45 Division with 0

46 Division with negative numbers

Order of Operations and Estimation In this section, you will learn about Order of operations Absolute value Estimation

48 Order of operations

49 Absolute value

50 EXAMPLE 10 The stock market.

Solving Equations Involving Integers In this section, you will learn about The properties of equality Solving equations involving x Combinations of operations Problem solving with equations

52 Solving equations involving - x

53 EXAMPLE 10 Water management. One day, enough water was released from a reservoir to lower the water level 17 feet to a reading of 33 feet below capacity. What was the water level reading before the release?