Nicknamed “Signed Numbers”INTEGERS
What are Integers • Integers are positive and negative numbers   and zero-10   -9   -8 -7   -6 -5   -4   -3 -2   -1   0   ...
Comparing Integers• Each positive number has an opposite negative  number.• Positive numbers are larger than negative numb...
Absolute Value• Absolute Value is the distance an integer is  from zero on a number line       The absolute value is alwa...
Absolute Value Check my work:1. |9|=92. |-3|= -33. |-2|=24. |25|= -25-10   -9   -8   -7 -6 -5   -4   -3 -2   -1   0   1   ...
Why Learn Integers?   Some word problems require integers.        At 8:00 a.m. it was 10 degrees below zero. By 3:00    ...
Integer Rule Handout
Multiplying and Dividing have thesame rules   If SAME signs = Positive Answer        +2 x +3 =     +6       + +         +...
Multiplying/Dividing - Practice1) 5 x -2 =       -10        DIFFERENT signs2)   12       4   + 3 or 3   SAME signs3)   20 ...
Multiplying/Dividing Tabe D. pg. 77
Adding Integers              Rule               Add/Subtract    Same signs =               1+3= 4       add numbers       ...
Adding Integers - Practice1) 5 + 2- =     3     DIFFERENT signs                           Take the difference2) -12 + - 3 ...
Adding Integers Tabe D. pg 75
Subtracting Integers                      Rule                    Add/Subtract         Change it!                        -...
Subtracting Integers - Practice
Subtracting Integers Tabe. D. pg 76
Assignment -- Integers IXL.com -- Integers Get a Smart Score of 100 on all of these!        Level H. I.6 (Adding)         ...
INTEGER JEOPARDY
Powers
Properties of Powers
Opposite Operations• Addition and Subtraction• Multiplication and Division• Exponents and …
Square Roots
Common Square Roots
Order of Operations     Please Excuse My Dear Aunt Sally1.   Parenthesis           (4-2)2.   Exponent              4³[3.4....
Left to Right• 3x6÷2   – Multiply First   18 ÷2 =9   – Divide First   3x3=9• 4 – 5 +6   – Add First   4+1=5   – Subtract F...
(8-3)² =PE[MD[AS
(6-4)² - 2 =PE[MD[AS
(6x2)(8÷2)² =PE[MD[AS
50 ÷2+1²-3²=PE[MD[AS
3 x 4 + 6 ÷ 2 + 5 – 1=No Parenthesis- No ProblemE[MD[AS
PEMDAS – Guided Practice          21) (2 + 1) - 7 = 2     22) 4 - (6 + 2) = 83) (8 x 2) + (7 x 3) = 374) 8 x 2 – 10 – 3 = ...
IXL.com• Order of Operations Practice  – Level K. B. 2
Integers, roots, powers, order of operations
Integers, roots, powers, order of operations
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Integers, roots, powers, order of operations

  1. 1. Nicknamed “Signed Numbers”INTEGERS
  2. 2. What are Integers • Integers are positive and negative numbers and zero-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
  3. 3. Comparing Integers• Each positive number has an opposite negative number.• Positive numbers are larger than negative numbers• To compare integers, a less than sign (<), a greater than sign (>) or an equal sign is used.  Think of an alligator.• Examples:  -5 < 2  9 > -3  -7 < -5 • You can think about it this way: if you spend $7, you will have less money left over than if you spent only $5.
  4. 4. Absolute Value• Absolute Value is the distance an integer is from zero on a number line  The absolute value is always a positive• Expressed with bars on both sides of the number – Example: |5|=5 – Example: |-7|=7-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
  5. 5. Absolute Value Check my work:1. |9|=92. |-3|= -33. |-2|=24. |25|= -25-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
  6. 6. Why Learn Integers? Some word problems require integers.  At 8:00 a.m. it was 10 degrees below zero. By 3:00 p.m., the temperature had risen 35 degrees. What was the temperature at 3:00 p.m.?  -10 + 35 = +25 degrees above zero. Most importantly, Algebra requires knowing integers.
  7. 7. Integer Rule Handout
  8. 8. Multiplying and Dividing have thesame rules If SAME signs = Positive Answer +2 x +3 = +6 + + + -2 x - 3 = +6 - - If Different signs = Negative Answer +2 x-3 = -6 + - - - 2 x +3 = -6 - +
  9. 9. Multiplying/Dividing - Practice1) 5 x -2 = -10 DIFFERENT signs2) 12 4 + 3 or 3 SAME signs3) 20 10 -2 DIFFERENT signs
  10. 10. Multiplying/Dividing Tabe D. pg. 77
  11. 11. Adding Integers Rule Add/Subtract Same signs = 1+3= 4 add numbers - 1 +-3 = - 4 Different signs = -3+4= 1 take the difference 3 +- 4 = -1 When adding, always keep sign of the largest absolute value
  12. 12. Adding Integers - Practice1) 5 + 2- = 3 DIFFERENT signs Take the difference2) -12 + - 3 = - 15 SAME signs Add numbers3) -7 + 4 = -3 DIFFERENT signs Take the difference
  13. 13. Adding Integers Tabe D. pg 75
  14. 14. Subtracting Integers Rule Add/Subtract Change it! -1 - 3 = subtraction sign - 1 +3 = to plus sign Switch it! sign of 2nd number - 1 + -3 = Solve it! using adding rules - 1 +-3 = -4Another way to say this: Rewrite the subtraction problem as an additionproblem in which you add the opposite of the number being subtracted.
  15. 15. Subtracting Integers - Practice
  16. 16. Subtracting Integers Tabe. D. pg 76
  17. 17. Assignment -- Integers IXL.com -- Integers Get a Smart Score of 100 on all of these! Level H. I.6 (Adding) I.8 (Subtracting) Level J. C.3 (Add/Subtract) C.7 (Mult/Division) Level H. X.3 (All Integers)
  18. 18. INTEGER JEOPARDY
  19. 19. Powers
  20. 20. Properties of Powers
  21. 21. Opposite Operations• Addition and Subtraction• Multiplication and Division• Exponents and …
  22. 22. Square Roots
  23. 23. Common Square Roots
  24. 24. Order of Operations Please Excuse My Dear Aunt Sally1. Parenthesis (4-2)2. Exponent 4³[3.4. Multiply Divide 4(3) or 4x3 4÷2 or 4/2[5.6. Add Subtract 4+2 4-2
  25. 25. Left to Right• 3x6÷2 – Multiply First 18 ÷2 =9 – Divide First 3x3=9• 4 – 5 +6 – Add First 4+1=5 – Subtract First -1 + 6 = 5
  26. 26. (8-3)² =PE[MD[AS
  27. 27. (6-4)² - 2 =PE[MD[AS
  28. 28. (6x2)(8÷2)² =PE[MD[AS
  29. 29. 50 ÷2+1²-3²=PE[MD[AS
  30. 30. 3 x 4 + 6 ÷ 2 + 5 – 1=No Parenthesis- No ProblemE[MD[AS
  31. 31. PEMDAS – Guided Practice 21) (2 + 1) - 7 = 2 22) 4 - (6 + 2) = 83) (8 x 2) + (7 x 3) = 374) 8 x 2 – 10 – 3 = 3 25) 24 ÷ 2 + 6 =12
  32. 32. IXL.com• Order of Operations Practice – Level K. B. 2

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