INTEGERS & ABSOLUTE VALUE

The set of integers is composed of the counting (natural ) numbers, their opposites, and zero. 24 -49 -3 1 -1 -99 49 -24 12 3 -12 99

and decrease in value to the left (…-3, -2, -1, 0) Beginning with zero, numbers increase in value to the right (0, 1, 2, 3, …) and decrease in value to the left (…-3, -2, -1, 0)

When comparing numbers the order in which they are placed on the number line will determine if it is greater than (>)or less than (<) another number. -10 -5 0 5 10

If it is to the right then it is greater than that number. If a number is to the left of a number on the number line, it is less than the other number. If it is to the right then it is greater than that number. -10 -5 0 5 10 -10 < -5 -5< 0 0 < 5 5 < 10 -5 > -10 0 > -5 5 > 0 10 > 5

Absolute value is the distance a number is from zero on a number line Absolute value is the distance a number is from zero on a number line. We use |n | to indicate absolute value. Example: |-7| = 7

Application: Answer : 4 Example: Jack Nicklaus is –4 after 36 holes of golf. How many strokes away from even par is he? (Par for a course is a score of zero strokes above or below.) Answer : 4

Absolute Value is the distance a number is from zero on the x or y axis. It doesn’t matter whether the number is left, right, north or south of the origin, its distance is always POSITIVE