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# Integers 101- Understanding Integers

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• 1. Understanding Integers
- What integers are
- How we compare and order integers….
- Absolute Value
• 2. Real Numbers
Prime
1,3,5,7,11
Composite
2,4,6,8,9,10
• 3. Real Numbers
Natural Numbers 1,2,3,4,5
Prime
1,3,5,7,11
Composite
2,4,6,8,9,10
• 4. Real Numbers
Whole Numbers 0,1,2,3,4,5
Natural Numbers 1,2,3,4,5
Prime
1,3,5,7,11
Composite
2,4,6,8,9,10
• 5. Real Numbers
Integers -3,-2,-1,0,1,2,3
Whole Numbers 0,1,2,3,4,5
Natural Numbers 1,2,3,4,5
Prime
1,3,5,7,11
Composite
2,4,6,8,9,10
• 6. Real Numbers
Terminating Decimals - 1.1, 1.2, -1.1, 1.2
Repeating Decimals - 1.2323, -1.2323
Fractions - 3/4, -3/4
Integers -3,-2,-1,0,1,2,3
Whole Numbers 0,1,2,3,4,5
Natural Numbers 1,2,3,4,5
Prime
1,3,5,7,11
Composite
2,4,6,8,9,10
• 7. Real Numbers
Rational Numbers
Irrational Numbers
Non-Terminating and Non-Repeating Decimals

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