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1.1 Integers and Absolute Value

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1 1.1 Integers and Absolute Value
(Clickers)

2 Integers Counting numbers, their opposites, and zero
{…-3, -2, -1, 0, 1, 2, 3, …} NO fractions or decimals Can be split into 3 groups Positive Integers {1, 2, 3, …} Negative Integers {…, -3, -2, -1} Zero {0} Why is zero in a group by itself? It is neither positive nor negative. Try it!

3 Number Lines Integers are used to label number lines.
What do the arrows mean? The numbers go on forever in both directions Try it!

4 Graphing 4, -2, 5 Use a dot!

5 The distance a number is from zero on a number line
Absolute Value The distance a number is from zero on a number line For example │2│ = 2 2 units Because…

6 Absolute Value │–6│ = 6 NOTE: distances are always positive, therefore
Also… │–6│ = 6 6 units Because… NOTE: distances are always positive, therefore absolute value is always positive

7 Find the Absolute Value
│–41│ = 41 │–17│ = 17 Try it!

8 Find the Absolute Value
│23│ = 23 │54│ = 54 Try it!

9 < Compare using <, >, or = –3 ___ 5 Because…

10 < Compare using <, >, or = –6 ___ –2 Because…
Try it!

11 Compare using <, >, or =
│–2│ ___ –1 2 Try it!

12 Compare using <, >, or =
│–8│ ___ 8 = 8 Try it!

13 Compare using <, >, or =
│4 │ ___ │–5 │ < 4 5 Try it!

14 Order the Values from least to greatest
0, -4, │-9│, │-5│, -5 0, -4, 9, 5, -5 -5 , -4 , 0 ,│-5│ ,│-9│ Try it!

15 Order the values from least to greatest
-11, -3, │-5│, │-11│, 0, -12 -11, -3, 5, 11, 0, -12 -12, -11, -3, 0, │-5│, │-11│ Try it!

16 Sample Application Problem
(Please refer to Textbook Example 4 on p.5)

17 Sample Application Problem
(Please refer to Textbook Example 4 on p.5)

18 Sample Application Problem
(Please refer to Textbook Example 4 on p.5) Airplane Fuel Candle Wax Try it!

19 Homework (MC #1,2,3) p.6 1-3 all, 8-18 even, 22-26,


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