This document provides an overview of integer operations including addition, subtraction, multiplication, division, and order of operations. It begins with examples of adding and subtracting integers by keeping the same or different signs and combining like terms. Next, it discusses multiplying and dividing integers by keeping the sign positive if the factors have the same sign and negative if they are different. Finally, it introduces the order of operations as parenthesis, exponents, multiplication/division from left to right, and addition/subtraction from left to right, providing examples to solve.

1. IntegersIntegers
Mr. ShumwayMr. Shumway
Team 8A - MathTeam 8A - Math

2. POD
1. -7 + 15 =
2. -5 – 3 =
3. 3 – (-3) =
4. - 12 + 4 =

3. Integers
Add & Subtract
• Same signs…add and keep
• Example:
• 8 + 7 =
• - 3 – 6 =

4. Integers
Add & Subtract
• Different signs…subtract, keep the
sign of the larger numer
• Example:
• - 8 + 7 =
• 3 - 6 =

5. Integers
Add & Subtract
• What about…
• - 8 – (-7) =
• 3 – (-6) =

6. Integers
Add & Subtract
• You try it
1. -17 + 8 =
2. 13 - 6 =
3. -14 – 8 =
4. 12 + 13 =
5. - 21 – (-4) =

7. Integers
Add & Subtract
Integer WARS

8. POD
1. -7 – 7 – 7 - 7 =
2. (-5 – 12) – (-20) =
3. 5 – (16 - 20) =
4. (-20 + 40) - (40 – 20) =

9. Integers
Multiply & Divide
• Same signs…positive
• 8 * 7 =
• -3 * -6 =
• 36/3
• -12/-4

10. Integers
Multiply & Divide
• Different signs…negative
• -9 * 5 =
• 12 * -3 =
• 48/-6 =
• -144/12

11. Order of Operations
• Is it important?
• What is 2 plus 2 times 2?

12. Order of Operations
• Parenthesis first (P)
• Exponents next (E)
• Multiplication/Division Left to right(MD)
• Addition/subtraction Left to Right (AS)
• 5 + 6 * 7 – 12/3 + 2

13. Order of Operations
• Parenthesis first (P)
• Exponents next (E)
• Multiplication/Division Left to right (MD)
• Addition/subtraction Left to Right (AS)
• 5 + 6 * 7 – 12/3 + 2

14. Order of Operations
• 5 + 3(-1)
• -4(-12 + 10)
• -(5 + 13) – 6
• -2(2) + 5(-2)
• (-8 – 2) 2
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