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# Integers 101- Understanding Integers

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### Integers 101- Understanding Integers

1. 1. Understanding Integers<br />- What integers are <br />- How we compare and order integers….<br />- Absolute Value<br />
2. 2. Real Numbers<br />Prime<br />1,3,5,7,11<br />Composite<br />2,4,6,8,9,10<br />
3. 3. Real Numbers<br />Natural Numbers 1,2,3,4,5<br />Prime<br />1,3,5,7,11<br />Composite<br />2,4,6,8,9,10<br />
4. 4. Real Numbers<br />Whole Numbers 0,1,2,3,4,5<br />Natural Numbers 1,2,3,4,5<br />Prime<br />1,3,5,7,11<br />Composite<br />2,4,6,8,9,10<br />
5. 5. Real Numbers<br />Integers -3,-2,-1,0,1,2,3<br />Whole Numbers 0,1,2,3,4,5<br />Natural Numbers 1,2,3,4,5<br />Prime<br />1,3,5,7,11<br />Composite<br />2,4,6,8,9,10<br />
6. 6. Real Numbers<br />Terminating Decimals - 1.1, 1.2, -1.1, 1.2<br />Repeating Decimals - 1.2323, -1.2323<br />Fractions - 3/4, -3/4 <br />Integers -3,-2,-1,0,1,2,3<br />Whole Numbers 0,1,2,3,4,5<br />Natural Numbers 1,2,3,4,5<br />Prime<br />1,3,5,7,11<br />Composite<br />2,4,6,8,9,10<br />
7. 7. Real Numbers<br />Rational Numbers<br />Irrational Numbers<br />Non-Terminating and Non-Repeating Decimals<br />∞<br />5.12323223012<br />Terminating Decimals - 1.1, 1.2, -1.1, 1.2<br />Repeating Decimals - 1.2323, -1.2323<br />Fractions - 3/4, -3/4 <br />Integers -3,-2,-1,0,1,2,3<br />Whole Numbers 0,1,2,3,4,5<br />Natural Numbers 1,2,3,4,5<br />Prime<br />1,3,5,7,11<br />Composite<br />2,4,6,8,9,10<br />
8. 8. Not Integers<br />Integers<br />5.6<br />-5.6<br />2.3<br />-2.3<br />5/6<br />-5/6<br />¾<br />-3/4<br />
9. 9. Not Integers<br />Integers<br />5.6<br />-5.6<br />2.3<br />-2.3<br />5/6<br />-5/6<br />¾<br />-3/4<br />Whole Numbers NOT Whole <br /> Numbers<br />
10. 10. Not Integers<br />Integers<br />The red arrows point to <br />Negative Rational Numbers<br />5.6<br />-5.6<br />2.3<br />-2.3<br />5/6<br />-5/6<br />¾<br />-3/4<br />Whole Numbers NOT Whole <br /> Numbers<br />
11. 11. Not Integers<br />Integers<br />The green arrows point to <br />Positive Rational Numbers<br />5.6<br />-5.6<br />2.3<br />-2.3<br />5/6<br />-5/6<br />¾<br />-3/4<br />Whole Numbers NOT Whole <br /> Numbers<br />
12. 12. How can we define an Integer?<br />Any positive or negative number that is a WHOLE part or piece … NO decimals… NO fractions<br />
13. 13. Ponder this…. <br />Is any positive and or negative number also an integer? <br />Why or Why not?<br />
14. 14. Ponder this…. <br />Is any positive and or negative number also an integer? <br />Why or Why not?<br />1. Can I turn it into a fraction?<br />2. Is it a whole number? <br />
15. 15. Ponder this…. <br />Is any positive and or negative number also an integer? <br />Why or Why not?<br />1. Can I turn it into a fraction?<br />2. Is it a whole number? <br />
16. 16. How do we classify integers? <br />
17. 17. How do we compare and order integers? <br />
18. 18. How do we compare and order integers? <br />Would you rather have \$2 or \$-2????<br />
19. 19. How do we compare and order integers? <br />Would you rather have \$2 or \$-2????<br />
20. 20. Less Value More Value <br /> Less Value More Value<br />
21. 21. Where do 2 and -3 belong? <br />0<br />
22. 22. Where do 2 and -3 belong? <br />0<br />2<br />-3<br />
23. 23. Order the numbers least to greatest? <br />
24. 24. Order the numbers least to greatest? <br />Which number is the least? (smallest value)<br />-11 or -18<br />
25. 25. Order the numbers least to greatest? <br />Which number is the least? (smallest value)<br />-11 or -18<br />
26. 26. Order the numbers least to greatest? <br />Which number is the least? (smallest value)<br />-11 or -18<br />-18, -16, -13, -12, -11<br />
27. 27. Absolute Value<br />
28. 28. Absolute Value<br /><ul><li>Tells us how far away is zero </li></li></ul><li>Absolute Value Examples<br />
29. 29. I learned….<br />What integers are<br />How we compare and order integers<br />Absolute Value <br />
30. 30. Sources Cited<br />All images taken from www.google.com/images<br />