Integers and Absolute Value

Integers Integers are the whole numbers (0, 1, 2, 3, …) and their opposites Integers are modeled on a number line: -3 -2 -1 0 1 2 3 (-1, -2, -3, …) Negative Integers Positive Integers As you move to the right on a number line, the integers increase in value As you move to the left on a number line, the integers decrease in value

Integers -5 is read “negative five” NOT minus five! You do not need to include a + sign in front of a positive integer. 2 is still just 2, not +2! Plotting a number on a number line means to draw a dot at the point that represents that number Be sure to label your points! Draw a number line and plot the integers -6, -2, and 3. -6 -2 0 3

Absolute Value Absolute value is the distance from zero on a number line. Because AV is a distance, it is always positive. There is no such thing as a negative distance. If I drive 11 miles to school, I drive 11 miles home, not -11 miles!

Absolute Value AV is written with two vertical lines called absolute value signs Ex: │7│ or │-3│ The absolute value of 7 (│7│) is 7, because it is seven spaces away from zero on a number line The absolute value of -3 (│-3│) is 3, because it is three spaces away from zero on a number line

Evaluating Absolute Value │-17│ =17 │5│ =5 │0│ =0 │-121│ =121

Opposites Opposites are numbers that are the same distance from, but on opposing sides of, zero Opposites have the same absolute value Find the opposites of the following: 8 -11 121 -121 -8 11