1.1 Integers and Absolute Value (Clickers)

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!

Number Lines Integers are used to label number lines. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 What do the arrows mean? The numbers go on forever in both directions Try it!

Graphing -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 4, -2, 5 Use a dot!

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 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Absolute Value │–6│ = 6 NOTE: distances are always positive, therefore Also… │–6│ = 6 6 units Because… -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 NOTE: distances are always positive, therefore absolute value is always positive

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

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

< Compare using <, >, or = –3 ___ 5 Because… -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

< Compare using <, >, or = –6 ___ –2 Because… -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Try it!

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

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

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

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

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!

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

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

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

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