Integers and Absolute Value

Integers - Set of whole numbers and their opposites. Integers include both positive and negative numbers. For example -3, -2, -1, 0, 1, 2, 3 are all integers.

Absolute Value - The distance a number is from 0 on the number line. For example -4 and 4 both have an absolute value of 4 as they are four places from 0 on the number line. Absolute value is always positive.

Speed - Tells us the rate at which an object is traveling. It is always positive.

Velocity - Tells us the speed and direction at which an object is traveling. It can be positive (indicating upward motion) or negative (indicating downward motion).

When asked to find the absolute value, a number will be displayed between two vertical lines. |-9|

Examples:

|-6| = 6 |-27| = 27

|30| = 30 |42| = 42

-|-31|= -31 While the absolute value is 31, the negative outside of the absolute value sign makes the answer -31.

When ordering number least to greatest when the set has an absolute value sign:

1. Find the absolute value of each number that is in | |
2. Order numbers least to greatest
3. Change numbers back to original form

Example:

2, |-10|, 4, -3, |6|

1. 2, 10, 4, -3, 6
2. -3, 2, 4, 6, 10
3. -3, 2, 4, |6|, |-10|