1 4 Comparing and Ordering Integers OBJECTIVE Use
1. 4 Comparing and Ordering Integers OBJECTIVE: - Use key vocabulary - Use models and representation to place and relate numbers on the number line
Definition • Positive number – # greater than zero.
Definition • Negative number – # less than zero.
Definition • Integers – Integers are all the whole numbers negative and positive on the number line including zero.
Definition • Positive integer – a whole number greater than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Definition • Negative integer – a whole number less than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Definition • Opposite Numbers – the negated value of number; of same distance from zero in the opposite direction • Opposite of x is –(x) • Example: Find the opposite of -6 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
What are the opposite values of the given values below? a. ) 2 c. ) -101 b. ) -10 d. ) 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Absolute Value Absolute value is the distance a value is away from zero. DISTANCES are POSITIVE Notation: We use two bars as a symbol Examples Evaluate
Working with comparing • • < versus > Inequalities are placed to compare values. Small point, points to smaller number Large side opens to larger number Example: Copy and complete the statement using < or > 18. ) -8 ___ 3
Practice • Ch. 1. 4 Pg. 24 #s 1 - 11 (od); 12 -14; 17 -23; 42; 48 -51
1. 4 Answer Key: Ch. 1. 4 Pg. 24 #s 1 - 11 (od); 12 -14; 17; 18 -23 (plot on number line); 42; 48 -51 1. ) 22. 5 3. ) -9; -5; -3; 0; 6; 12 9. ) - (-30) = 30 13. ) - 4 18. ) In notes 21. ) -15 < -7 42. ) On your own 48. ) –(-8) – 3 = 8 – 3 = 5 49. ) 5 + - -8 = 5 + 8 = 10 50. ) I-8 I + 10 = 8 + 10 = 18 51. ) a. ) Helike: -3 b. ) 5. ) 9 11. ) -(81) 14. ) 17 19. ) -9 < -12 22. ) -12; -6; -1; 0; 4 Heraklion: -8 c. ) The Unnamed City d. ) closer 13, 18, 19; 23; 42; 49 Port Royal: -12 7. ) 12 12. ) 11 17. ) The summit of Kilauea 20. ) 0 > -4 23. ) -8; -4; -5; 7; 15 Unnamed City: -37
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