This document provides examples of how to solve addition and subtraction problems involving integers. It gives step-by-step worked examples of adding and subtracting positive and negative integers using number lines and algebra tiles. It also provides word problems to solve involving concepts like temperature changes, book pages read, weights, bank deposits and withdrawals, and submarine depths. The key steps shown are to add the integers when their signs are the same and subtract when the signs are different, copying the sign of the integer with the greater absolute value.
2. Learning Target:
c. solve routine and non-routine
problems involving addition of integers
using appropriate strategies and tools.
a. perform addition of integers through
algebra tiles, counters, chips, cards
and number line;
b. cooperate with one’s group
mates in making an output; and
3. Thea got 3 points in recitation in Science
and 2 points in Math. How many points did
she get in the two subjects?
*The points earned by Thea are considered as positive number.
*We need to add the points to obtain the total.
MATHEMATICAL SENTENCE: +3 + +2 = N
Solution: +3 + +2 = +5 3 units 2 units
Answer: Thea got 5 points in recitation in the two subjects.
4. To add two positive integers,
add the integers then copy the
positive sign (+).
6. Belle got demerit points because of
misbehavior. She got -5 and -8 for two
violations. How many demerit points did she
get?
MATHEMATICAL SENTENCE: -5 + -8 = N
Solution: -5 + -8 = -13
5 units
8 units
Answer: Belle got -13 demerit points.
7. Belle got demerit points because of
misbehavior. She got -5 and -8 for two
violations. How many demerit points did she
get?
MATHEMATICAL SENTENCE: -5 + -8 = N
Solution: -5 + -8 = -13
Answer: Belle got -13 demerit points.
Using tiles, we can also illustrate as:
-5 + -8 = -13
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-5 -8
+
=-13
8. To add two negative integers,
add the integers then copy the
negative sign (-).
10. 12 units
Yesterday, I saved ₱12 from my baon.
But for some reason, I lost ₱7. How
much money was left?
MATHEMATICAL SENTENCE: +12 + -7 = N
Solution: +12 + -7 = +5
7 units
Answer: In the end, I only have saved ₱5 pesos.
11. To add a positive integers and a
negative integers, subtract the integers
then copy the sign of the integers with
greater absolute value.
18. temperature inside the room is
37 OC
temperature when the aircon
was switched on is 20 OC
₱
Answer:
Write the correct equation for
each given situation..
19. temperature inside the room is
37 OC
temperature when the aircon
was switched on is 20 OC
₱
Answer: +37 + +20 = +57
Write the correct equation for
each given situation..
20. 150 pages of a book
75 pages was read by
the pupil
₱
Answer:
Write the correct equation for
each given situation..
21. 150 pages of a book
75 pages was read by
the pupil
₱
Answer: +150 + -75 = +75
Write the correct equation for
each given situation..
22. weighs 60 kilos
lost 12 kilos
₱
Answer:
Write the correct equation for
each given situation..
23. weighs 60 kilos
lost 12 kilos
₱
Answer: +60 + -12 = +48
Write the correct equation for
each given situation..
24. deposited ₱10,000.00
in a bank
withdrew ₱3,500.00
₱
Answer:
Write the correct equation for
each given situation..
25. deposited ₱10,000.00
in a bank
withdrew ₱3,500.00
₱
Answer: +10,000 + -3,500 = +6,500
Write the correct equation for
each given situation..
27. The temperature in
the morning in New
York is -18OF. If the
temperature
increased by 5OF,
what is the
temperature now?
A:
28. The temperature in
the morning in New
York is -18OF. If the
temperature
increased by 5OF,
what is the
temperature now?
A: -18 + +5 = -13OF
29. Kathy’s grade in Math is
80 during the First
Quarter. Her grade
increased by 7 points on
the Second Quarter.
What is her grade on the
Second Quarter?
A:
30. Kathy’s grade in Math is
80 during the First
Quarter. Her grade
increased by 7 points on
the Second Quarter.
What is her grade on the
Second Quarter?
A: +80 + +8 = +87
31. Ernelita weighs 60
kilos and gained 7
kilos after 2
months. What is
Ernelita’s present
weight?
A:
32. Ernelita weighs 60
kilos and gained 7
kilos after 2
months. What is
Ernelita’s present
weight?
A: +60 + +7 = +67
33. A submarine is 1 765
meters below sea level.
If the submarine rises by
458 meters and then
descends 589 meters,
how deep is the
submarine now?
A:
34. A submarine is 1 765
meters below sea level.
If the submarine rises by
458 meters and then
descends 589 meters,
how deep is the
submarine now?
A: -1765 + 458 + -589 = -1896