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ADDITION &
SUBTRACTION
OF INTEGERS
MATHEMATICS PRESENTATION
GROUP 4
ADDITION OF INTEGERS
A. ADDING INTEGERS WITH LIKE SIGNS
-to add integers with like signs, find the sum of
their absolute values and prefix the common sign.
Examples: 6+3=9
-4+-7= -11
ADDITION OF INTEGERS
B. ADDING INTEGERS WITH UNLIKE SIGNS
To add integers with unlike signs, get the
difference of their absolute values and prefix the sign
of the integer with the greater absolute value.
Examples: 6+-3=3
10+-5+6=11
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
+
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
+ mean
s
GO
RIGHT
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
+ mean
s
GO
RIGHT
6
steps
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
1
+ mean
s
GO
RIGHT
6
steps
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
2
+ mean
s
GO
RIGHT
6
steps
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
3
+ mean
s
GO
RIGHT
6
steps
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
4
+ mean
s
GO
RIGHT
6
steps
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
5
+ mean
s
GO
RIGHT
6
steps
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
6
steps
6
+ mean
s
GO
RIGHT
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
6
steps
6
+ mean
s
GO
RIGHT
- 4 + 6 =
2
- 4 +
6
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
6
steps
6
+ mean
s
GO
RIGHT
- 4 + 6 =
+2
ANOTHER PROBLEM
- 5 +
2
- 5 +
2
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
- 5 +
2
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
- 5 +
2
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
+
- 5 +
2
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
+ mean
s
GO
RIGHT
- 5 +
2
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
+ mean
s
GO
RIGHT
2
steps
- 5 +
2
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
1
+ mean
s
GO
RIGHT
2
steps
- 5 +
2
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
2
+ mean
s
GO
RIGHT
2
steps
- 5 +
2
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
2
+ mean
s
GO
RIGHT
2
steps
- 5 + 2 = -
3
WHAT ABOUT
SUBTRACTING OF
INTEGERS?
SUBTRACTION OF INTEGERS
RULE: TO SUBTRACT AN INTEGER, ADD ITS OPPOSITE.
CHANGE THE SIGN OF THE SUBTRAHEND THE PROCEED TO
ADDITION
EXAMPLES:10-5= 10+-5=5
EXAMPLE:
- 2 -
3
- 2 -
3
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
- 2 -
3
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
- 2 -
3
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
–
- 2 -
3
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
– mean
s
GO
LEFT
- 2 -
3
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
start
here
– mean
s
GO
LEFT
3
steps
- 2 -
3
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
1
mean
s
GO
LEFT
3
steps
–
- 2 -
3
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
2
mean
s
GO
LEFT
3
steps
–
- 2 -
3
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
3
steps
3
mean
s
GO
LEFT
–
- 2 -
3
- 6 - 5 - 4 - 3 - 2 - 1
0
+1 +2 +3 +4 +5
+6
3
steps
3
mean
s
GO
LEFT
–
- 2 - 3 = -
5
THANK YOU FOR
WATCHING!
Special thanks to:
Marian Ryza A. Sison power point maker
Nathalie Paradeza voice over
Zyrine Morenos voice over
Khayzeian Rillera editor
script writer

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dokumen.tips_addition-subtraction-of-integers%20(1).pptx

  • 2. ADDITION OF INTEGERS A. ADDING INTEGERS WITH LIKE SIGNS -to add integers with like signs, find the sum of their absolute values and prefix the common sign. Examples: 6+3=9 -4+-7= -11
  • 3. ADDITION OF INTEGERS B. ADDING INTEGERS WITH UNLIKE SIGNS To add integers with unlike signs, get the difference of their absolute values and prefix the sign of the integer with the greater absolute value. Examples: 6+-3=3 10+-5+6=11
  • 4. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6
  • 5. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here
  • 6. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here +
  • 7. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here + mean s GO RIGHT
  • 8. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here + mean s GO RIGHT 6 steps
  • 9. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 1 + mean s GO RIGHT 6 steps
  • 10. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 2 + mean s GO RIGHT 6 steps
  • 11. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 3 + mean s GO RIGHT 6 steps
  • 12. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 4 + mean s GO RIGHT 6 steps
  • 13. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 5 + mean s GO RIGHT 6 steps
  • 14. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 6 steps 6 + mean s GO RIGHT
  • 15. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 6 steps 6 + mean s GO RIGHT - 4 + 6 = 2
  • 16. - 4 + 6 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 6 steps 6 + mean s GO RIGHT - 4 + 6 = +2
  • 19. - 5 + 2 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6
  • 20. - 5 + 2 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here
  • 21. - 5 + 2 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here +
  • 22. - 5 + 2 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here + mean s GO RIGHT
  • 23. - 5 + 2 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here + mean s GO RIGHT 2 steps
  • 24. - 5 + 2 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 1 + mean s GO RIGHT 2 steps
  • 25. - 5 + 2 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 2 + mean s GO RIGHT 2 steps
  • 26. - 5 + 2 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 2 + mean s GO RIGHT 2 steps - 5 + 2 = - 3
  • 28. SUBTRACTION OF INTEGERS RULE: TO SUBTRACT AN INTEGER, ADD ITS OPPOSITE. CHANGE THE SIGN OF THE SUBTRAHEND THE PROCEED TO ADDITION EXAMPLES:10-5= 10+-5=5
  • 31. - 2 - 3 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6
  • 32. - 2 - 3 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here
  • 33. - 2 - 3 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here –
  • 34. - 2 - 3 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here – mean s GO LEFT
  • 35. - 2 - 3 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 start here – mean s GO LEFT 3 steps
  • 36. - 2 - 3 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 1 mean s GO LEFT 3 steps –
  • 37. - 2 - 3 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 2 mean s GO LEFT 3 steps –
  • 38. - 2 - 3 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 3 steps 3 mean s GO LEFT –
  • 39. - 2 - 3 - 6 - 5 - 4 - 3 - 2 - 1 0 +1 +2 +3 +4 +5 +6 3 steps 3 mean s GO LEFT – - 2 - 3 = - 5
  • 40. THANK YOU FOR WATCHING! Special thanks to: Marian Ryza A. Sison power point maker Nathalie Paradeza voice over Zyrine Morenos voice over Khayzeian Rillera editor script writer