Introduction to Integers; Signed Numbers

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Presentation transcript:

Introduction to Integers; Signed Numbers Section 2.1 Introduction to Integers; Signed Numbers

Number Line

Example Graph the numbers 0, -7, 9, 12, -20

Inequalities A symbol used to compare numbers < less than > greater than

Examples Place the inequality -7 16 0 -1 14 12 -27 -30

Absolute Value Finds the distance between the given number and the origin (0). The symbol is | |. |x| = x |-x| = x

Examples Simplify the expression | -15 | | -27 | | 12 | | 15 | | 12 | | 15 | - | -22 | - | 87 |

Opposite Numbers Changing the sign of the given number. The opposite of x is -x The opposite of –x is x

Examples Find the opposite of 34 Find the opposite of 85

Multiple Negatives Given a value with an even number of negatives will result in a positive sign. Double negatives = positive Given a value with an odd number of negatives will result in a negative sign.

Example Simplify ---95 --34 - ( - ( - ( - 45 ) ) ) - ( - ( - 98 ) )

Order Increasing Order : Writing the numbers from lowest number to highest number. Decreasing Order : Writing the numbers from highest number to lowest number.

Example Given these numbers, write them in increasing order -88, 254, 12, -16, 55

Example Given these numbers, write them in decreasing order 12, 85, -54, 9, -2