Interesting Integers

6. DEFINITION
•Integers
• All the whole numbers and all of their
opposites on the negative number
line including zero.

7. •Positive number
– a number greater than zero.
0 1 2 3 4 5 6
DEFINITION

8. •Negative number
– a number less than zero.
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
DEFINITION

9. DEFINITION
•Opposite Numbers
– numbers that are the same
distance from zero in the opposite
direction
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6

10. DEFINITION
•Additive Inverse
– the opposite of a number
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6

11. DEFINITION
•The sum of a number and
its additive inverse is zero.
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
-3 + 3 = 0 3 + (-3) = 0

12. Find the opposite of the following.
•

13. Find the opposite of the following real life scenarios.

14. DEFINITION
•Absolute Value
The distance of a number
from zero on a number line.

15. INTEGERS ARE USED TO MEASURE
TEMPERATURE.

16. INTEGERS ARE USED TO MEASURE
TEMPERATURE.

17. INTEGERS ARE USED TO MEASURE SEA
LEVEL.
0
10
20
30
-10
-20
-30
-40
-50
Above sea level
Below sea level

18. INTEGERS ARE USED TO MEASURE SEA
LEVEL.

19. HINT
•If you don’t see a negative or
positive sign in front of a
number, it means that it is
positive.
9
+ 9
=

20. PLOTTING INTEGERS ON A NUMBER LINE
•
1. Is it positive or negative?
2. Where is it on the number line?
3. Mark the estimated point.

21. PLOTTING INTEGERS ON A NUMBER LINE

22. PLOTTING INTEGERS ON A NUMBER LINE

23. COMPARING INTEGERS
• Numbers on the right has a bigger value than
numbers on the left.
RIGHT > LEFT

24. COMPARING INTEGERS (> , <)
2 ____ 4
-1 ____ 5
-2 ____ -3
0 ____ 7
0 ____ -6

25. INTEGER ADDITION RULES
•1. Same signs
• Add the numbers.
• The sum gets the sign of the numbers.
9 + 5 = 14
-9 + -5 = -14

26. ADD THE INTEGERS.
•-3 + -5 =
•4 + 7 =
•(+3) + (+4) =
•-6 + -7 =
•5 + 9 =
•-9 + -9 =
-8
-18
14
-13
7
11

27. INTEGER ADDITION RULES
• 2. Different signs
• Don’t mind the signs.
• Subtract the numbers.
• The difference gets the sign of the bigger
number.
-9 + +5
9 - 5 = 4 -9 + +5 = -4

28. ADD THE INTEGERS.
•3 + -5 =
•-4 + 7 =
•(+3) + (-4) =
•-6 + 7 =
•5 + -9 =
•-9 + 9 =
-2
5 – 3 = 2
0
-4
1
-1
3
9 – 9 = 0
9 – 5 = 4
7 – 6 = 1
4 – 3 = 1
7 – 4 = 3

29. ADDING INTEGERS WITH A NUMBER
LINE
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
POSITIVE = count up to the RIGHT
NEGATIVE = count down to the LEFT
+
-

30. ADDING INTEGERS WITH A NUMBER
LINE
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
+
-
+3 + -5 = -2

31. ADDING INTEGERS WITH A NUMBER
LINE
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
+
-
+6 + -4 = +2

32. ADDING INTEGERS WITH A NUMBER
LINE
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
+
-
+3 + -7 = -4

33. ADDING INTEGERS WITH A NUMBER
LINE
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
-
+
-3 + +7 = +4

34. Add the following.

35. Find the missing integer that will make the
statement true.

36. INTEGER SUBTRACTION
RULES
1. Subtracting a negative number
• Change the signs and add.
2 – (-7)
is the same as
2 + (+7)
2 + 7 = 9!

37. Here are some more examples.
12 – (-8)
12 + (+8)
12 + 8 = 20
-3 – (-11)
-3 + (+11)
-3 + 11 = 8

38. INTEGER SUBTRACTION
RULES
2. Subtracting a positive number
• Subtract smaller from bigger number.
• If bigger number comes first, the answer is
positive.
• If smaller number comes first, the answer is
negative.
9 – 7 = 2
7 – 9 = -2

39. INTEGER SUBTRACTION
RULES
2. Subtracting a positive number
• Just add the numbers.
• The answer is negative.
-9 – 7 = -16 -7 – 9 = -16

40. SUBTRACTING INTEGERS WITH A
NUMBER LINE
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
-
+
6 – 3 = +3

41. SUBTRACTING INTEGERS WITH A
NUMBER LINE
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
-
+
3 – 6 = -3

42. SUBTRACTING INTEGERS WITH A
NUMBER LINE
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
-
-1 – 5 = -6
-

43. SUBTRACTING INTEGERS WITH A
NUMBER LINE
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
+
-1 – -5 = -1 + 5 = 4
-

44. SUBTRACT THE FOLLOWING.

45. ADD OR SUBTRACT

46. INTEGER MULTIPLICATION/
DIVISION RULES
1. Same signs

47. INTEGER MULTIPLICATION/
DIVISION RULES
1. Different signs

48. Multiply or divide the following.

49. • 21
• -3
• ____ x [-(-2)] = -24
• -12 x 2 = -24
• 4 x –(-2) x –(-4) = 32