11-1: ordering INTEGERS

1. 11-1: ordering INTEGERS The University of Texas at Dallas

2. INTRODUCTION TO INTEGERS • Integers are positive and negative numbers. …, -6, -5, -4, -3, -2, -1, 0, +1, +2, +3, +4, +5, +6, … • Each negative number is paired with a positive number the same distance from 0 on a number line. 0 1 2 -3 -2 3 -1 The University of Texas at Dallas

3. Use a number line • To compare integers, plot the points on the number line, the number farther to the right is the larger number • Compare 1 and -3 ___________ *_______*_______________ -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 Since 1 is to the right of -3, 1 > -3 or Since -3 is to the left of 1, -3 < 1

4. Comparing Integers > > < > Replace each _ with < or >. -2 __ - 6 -3 __ -5 -5 __ 0 2 __ -2

5. Ordering Integers

6. Use a number line • To order integers from least to greatest, draw a number line and plot the points. • Order the integers -4, 7, 3, -2, and 1 from least to greatest. _________*____*_____*___*_________*_ -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 Order the integers by reading from left to right. -4, -2, 1, 3, 7

7. Let’s Practice Some P 573 # 1-9

8. 11-2: Adding Integers The University of Texas at Dallas

9. INTRODUCTION TO INTEGERS • We can represent integers using red and yellow counters. • Red circles will represent negative integers, and yellow circles will represent positive integers. Positive integer Negative integer The University of Texas at Dallas

10. Zero Pair • If we add one red and one yellow together what do they equal? • 0!!! So we call them a zero pair. = 0 + Positive integer Negative integer The University of Texas at Dallas

11. INTRODUCTION TO INTEGERS • The diagrams below show 2 ways to represent -3. • Represent -3 in 2 more ways. -3 -3 The University of Texas at Dallas

12. INTRODUCTION TO INTEGERS • Tell which integer each group of tiles represents. +1 -2 +2 ANSWER The University of Texas at Dallas

13. INTRODUCTION TO INTEGERS • If there are the same number of red tiles as yellow tiles, what number is represented? • It represents 0. It has 3 zero pairs! The University of Texas at Dallas

14. ADDING INTEGERS • We can model integer addition with color counters. • Represent -2 with the fewest number of counters. • Represent +5 with the fewest number of color counters. The University of Texas at Dallas

15. ADDING INTEGERS • What number is represented by combining the 2 groups of tiles? • Write the number sentence that is illustrated. -2 + +5 = +3 +3 The University of Texas at Dallas

16. ADDING INTEGERS • Use your red and yellow tiles to find each sum. -2 + -3 = ? ANSWER = -5 + -2 + -3 = -5 The University of Texas at Dallas

17. ADDING INTEGERS -6 + +2 = ? ANSWER + - 4 = -6 + +2 = -4 -3 + +4 = ? ANSWER +1 = + -3 + +4 = +1 The University of Texas at Dallas