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Interesting Integers!
What You Will Learn ,[object Object],[object Object],Are you ready??
Definition ,[object Object],0 1 2 3 4 5 6
Definition ,[object Object],0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
Definition ,[object Object],0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
Definition ,[object Object],7 opposite -7
Definition ,[object Object],The absolute value of  9  or of  –9  is  9 .
Negative Numbers Are Used to Measure Temperature
Negative Numbers Are Used to Measure Under Sea Level 0 10 20 30 -10 -20 -30 -40 -50
Negative Numbers Are Used to Show Debt Let’s say your parents bought a car but had to get a loan from the bank for $5,000. When counting all their money they add  in -$5.000 to show they still owe the bank.
Hint ,[object Object],9 +
Integer Addition Rules ,[object Object],9 + 5 = 14 -9 + -5 = -14
Solve  the Problems ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],-8 -18   14 -13 7 11
Integer Addition Rules ,[object Object],-9 + +5 = 9 - 5 = 4 Larger abs. value Answer  = - 4
Solve These Problems ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],-2 5 – 3 = 2 0   -4 1 -1 3 9 – 9 = 0   9 – 5 = 4 7 – 6 = 1 4 – 3 = 1 7 – 4 = 3
One Way to Add Integers Is With a Number Line When the number is positive, count to the right. When the number is negative, count to the left. + - 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
One Way to Add Integers Is With a Number Line + - +3 + -5 = -2 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
One Way to Add Integers Is With a Number Line + - +6 + -4 = +2 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
One Way to Add Integers Is With a Number Line + - +3 + -7 = -4 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
One Way to Add Integers Is With a Number Line - + -3 + +7 = +4 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
Integer Subtraction Rule Subtracting a negative number is the same as adding a positive.  Change the signs and add. 2 – (-7)  is the same as  2  + (+7) 2  + 7 = 9!
Here are some more examples. 12 – (-8) 12 + (+8) 12 + 8 = 20 -3 – (-11) -3 + (+11) -3 + 11 = 8
You have learned lots of things About adding and subtracting Integers.  Let’s review!
Integer Addition Rules ,[object Object],9 + 5 = 14 -9 + -5 = -14
Integer Addition Rules ,[object Object],-9 + +5 = 9 - 5 = 4 Larger abs. value Answer  = - 4
One Way to Add Integers Is With a Number Line When the number is positive, count to the right. When the number is negative, count to the left. + - 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
Integer Subtraction Rule Subtracting a negative number is the same as adding a positive.  Change the signs and add. 2 – (-7)  is the same as  2  + (+7) 2  + 7 = 9!
Aren’t integers interesting?

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Integers

  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. Negative Numbers Are Used to Measure Temperature
  • 9. Negative Numbers Are Used to Measure Under Sea Level 0 10 20 30 -10 -20 -30 -40 -50
  • 10. Negative Numbers Are Used to Show Debt Let’s say your parents bought a car but had to get a loan from the bank for $5,000. When counting all their money they add in -$5.000 to show they still owe the bank.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16. One Way to Add Integers Is With a Number Line When the number is positive, count to the right. When the number is negative, count to the left. + - 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
  • 17. One Way to Add Integers Is With a Number Line + - +3 + -5 = -2 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
  • 18. One Way to Add Integers Is With a Number Line + - +6 + -4 = +2 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
  • 19. One Way to Add Integers Is With a Number Line + - +3 + -7 = -4 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
  • 20. One Way to Add Integers Is With a Number Line - + -3 + +7 = +4 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
  • 21. Integer Subtraction Rule Subtracting a negative number is the same as adding a positive. Change the signs and add. 2 – (-7) is the same as 2 + (+7) 2 + 7 = 9!
  • 22. Here are some more examples. 12 – (-8) 12 + (+8) 12 + 8 = 20 -3 – (-11) -3 + (+11) -3 + 11 = 8
  • 23. You have learned lots of things About adding and subtracting Integers. Let’s review!
  • 24.
  • 25.
  • 26. One Way to Add Integers Is With a Number Line When the number is positive, count to the right. When the number is negative, count to the left. + - 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
  • 27. Integer Subtraction Rule Subtracting a negative number is the same as adding a positive. Change the signs and add. 2 – (-7) is the same as 2 + (+7) 2 + 7 = 9!