subtraction of integers

2. Observe the following pictures and
then match the pictures opposite
to each other.
Bad
Mourn
Hungry Rich
Good Dirty
Poor
New born
Bow
Clean

3. Study the following patterns.

4. CONCLUSION:
The patterns in the
mathematical sentences
above show that
subtracting a number
gives the same results
as adding its opposite.

5. Using the
Number Line
Express the
subtraction problem to
addition problem.

6. Examples:
a. -4-3
b. 4-(-3)
c. -8 - (-12)

7. -4-3 = -4 + (-3)-

9. 4 – (-3) = 4 + 3

11. -8 – (-12) = -8 + 12

13. Using
Algebra
Tiles

14. Examples:
(+5) – (+2) =
Remove or take away +2 of the tiles:
So,….What’s left?
(+1) – (+1) =
(-4) – (-3) =
(-7) – (-2) =

15. (+3) – (-5) =
+3 “remove” -5, but you do not have
any negatives to remove.
Add zero pairs!

16. Zero pair
(+3) – (-5) =
Now you can remove -5
And, your left with……
Now, try: (-4) – (+1) =

17. Zero pair
(-4) – (+1) =
Add a zero pair.
Now you can remove +1
And, your left with……
(-8) – (+3) = 4 – (-7) = -6 – (+9) =

18. What are the
disadvantages of
using number line
and algebra tiles in
subtracting
integers?

19. Rule in Subtracting
Integers
 In subtracting integer
from another
integer, add the
opposite of the
subtrahend to the

20. Use the number line to
subtract the following
integers.
Grp. 1–5 -1 – (-6)
Grp. 6–10 -2 - 7

21. -1 – (-6) = 5

22. -2 – 7 = -9

23. Subtract by using the
algebra tiles.
Grp. 1–5 4- (-3)
Grp. 6 –10 -5 – (-2)

24. Grp. 1–5 4- (-3) = 7
Grp. 6–10 -5 – (-2) = -3

25. Subtract. Use the rule for
subtracting integers.
Grp. 1-4 -11 – 14
Grp. 5-7 18 - 22
Grp. 8-10 41- (-25)

26. Let’s Check:
Grp. 1-4 -11 – 14 = 4
Grp. 5-7 18 – 22 = -4
Grp. 8-10 41- (-25) = 66

27. Let us work in group!
Use the number line to
subtract the following
integers.
a. 11 – (-5)
b. -6 – (-9)

28. Let’s check:
a. 11 – (-5) = 15
b. -6 – (-9) = 3

29. Subtract by using
algebra tiles.
c. 5 – (-3)
d. (-3) – (-8)

30. Let’s check:
c. 5 – (-3) = 8
d. (-3) – (-8) = 5

31. Subtract. Use the rule for
subtracting integers.
e. -29 - 45
f. 18 - 24
g. -20 – (-4)

32. Let’s check:
e. -29 – 45 = -74
f. 18 – 24 = -6
g. -20 – (-4) = -16

33. GOSPEL
INTEGRATION

34. Matthew 5:3-10 “The
BeaTiTudes”
Blessed are the poor in spirit, for
theirs is the kingdomRichheaven.
of
Poor

35. Blessed are they who
mourn, for they will be
comforted.
New born baby
Mourn

36. Blessed are the meek, for they will
inherit the land.
Good Bad

37. Blessed are they who hunger and thirst for
righteousness, for they will be satisfied.
Bow
Hungry

38. Blessed are the merciful, for they will be
shown mercy.

39. Blessed are the clean of heart, for they
will see God.
Dirty
Clean

41. Assignment:
Answer page 48-49 of
The Next Century
Mathematics I
(Elementary Algebra)
Written Math, A
numbers 1-10