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# Number Systems--INTEGERS

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### Number Systems--INTEGERS

1. 1. 0, 1, 2, 3, 4, 5...  Whole Numbers - start with zero
2. 2. 1, 2, 3, 4, 5...  Natural Numbers or  Counting Numbers - start with one
3. 3. …-3, -2, -1, 0, 1, 2, 3…  Integers - include positive whole numbers, negative whole numbers, and zero.
4. 4. Integers -5 -4 -3 -2 -1 0 1 2 3 4 Negative Integers 5 Positive Integers Origin The integer zero is neither positive or negative.
5. 5. Opposite Numbers are numbers that are the same distance from zero in the opposite direction. -5 -4 -3 -2 -1 0 1 2 3 4 -5 -4 -3 -2 -1 0 1 5 2 3 4 5
6. 6. Absolute value of an integer is the distance a number is from zero on a number line. |-5| Two vertical bars around a number Note: means the absolute value of the number.
7. 7. |2| =2 -5 -4 -3 -2 -1 0 1 2 3 4 5
8. 8. -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5
9. 9. |#| Two vertical bars around a number Note: means the absolute value of the number.
10. 10. 4 |-4| = _____ -5 -4 -3 -2 -1 0 1 2 3 4 5 3 |3| = _____ -5 -4 -3 -2 -1 0 1 2 3 4 5
11. 11. HINT: If you don’t see a negative or positive sign in front of a number it is positive. -10 +8 9
12. 12. • We can represent addition of integers using red and yellow counters. • Red tiles will represent negative integers, and yellow tiles will represent positive integers. Negative Integer Positive Integer
13. 13. • If there are the same number of red tiles as yellow tiles it is equal to zero =0
14. 14. Example: -8 + Zero Pairs 10 2 =
15. 15. - 15 12 + Zero Pairs -3 =
16. 16. Try This! 16 8 + Zero Pairs -8 =