2 Chapter Chapter 2 Integers and Introduction to Variables

Introduction to Integers Section 2.2 Introduction to Integers

Represent Real-Life Situations with Integers Objective A Represent Real-Life Situations with Integers

Definitions Positive Numbers: Numbers greater than 0. Negative Numbers: Numbers that are less than 0. Objective A Continued

Example Example A worker in a silver mine in Nevada works 1445 feet underground. Write this as a signed number. 1445 feet underground = –1445 Objective A Continued

Graph Integers on a Number Line. Objective B Graph Integers on a Number Line.

Graphing Integers Example Graph the following integers on a number line: Objective B

Objective C Compare Integers.

Comparing Integers Comparing Integers For any two numbers graphed on a number line, the number to the right is the greater number, and the number to the left is the smaller number. Also recall that the symbol > means “is greater than” and the symbol < means “is less than”. Objective A 9

Example Example Insert < or > between each pair of numbers to make a true statement. a. −6 ____ 3 b. c. < > Objective A > 10

Find the Absolute Value of a Number. Objective D Find the Absolute Value of a Number.

Absolute Value Example The absolute value of a number is the number’s distance from 0 on a number line. The symbol for absolute value is | |. Find each absolute value. a. b. c. Objective A 12

Find the Opposite of a Number. Objective E Find the Opposite of a Number.

Finding the Opposite of a Number Opposites Two numbers that are the same distance from 0 on the number line but are on opposite sides of 0. Objective E

Example Example Find the opposite of each number. a. 11 b. ‒8 c. 0 a. The opposite of 11 is ‒11. b. The opposite of ‒8 is 8. c. The opposite of 0 is 0. Objective D

Example Example Simplify. a. b. c. = –9 Objective A 16

Read Bar Graphs Containing Integers. Objective F Read Bar Graphs Containing Integers.

Reading Bar Graphs Containing Integers Example Which planet has the lowest average temperature? Objective F Neptune

Example Example According to the bar graph, which planet has the third lowest average temperature? The bar with the third lowest temperature is Saturn with a lowest average temperature of Objective A 19