1. Integers and Absolute Value

2. {...-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7...} Definition of Integer: The set of whole numbers, their opposites and zero. Define Integer Examples of Integer: X

3. 0 -2-3-4 -5 12 345 Integers on a Number Line Negative Numbers Positive Numbers Numbers to the left of zero are less than zero Numbers to the right of zero are greater than zero Zero is neither positive or negative Zero

4. 10234567 89 10 -2-3-4-5-6-7-8-9-10 The numbers -4 and 4 are shown on the number line. Both numbers are 4 units from 0, but 4 is to the right of 0 and -4 is to the left of zero. The numbers -4 and 4 are opposites. Opposites are two numbers which are the same distance from zero. Opposites

5. Absolute Value of Numbers The absolute value is the distance a number is from zero on the number line, regardless of direction. Distance and absolute value are always non-negative (positive or zero). 10234567 89 10 -2-2 -3-4-5-6-7-8-9- 10 What is the distance from 0 to 5? 10234567 89 10 -1 -2 -3-4-5-6-7-8-9 - 10 What is the distance from 0 to -5?

6. 10234567 89 1010 -2-2 -3-3 -4-4 -5-6-7-7 -8-8 -9-9 - 10 Absolute value is symbolized by two vertical bars |4||4| What is the | 4 | ? This is read, "the absolute value of 4"

8. Real life application The freezing point is the temperature at which a liquid becomes a solid. a. Which substance in the table has the lowest freezing point? b. Is the freezing point of mercury or butter closer to the freezing point of water, 0°C?

9. Is the freezing point of airplane fuel or candle wax closer to the freezing point of water? Explain your reasoning.