math

1. Addition of Integers

2. Given problem:
Rhea got 3 points in recitation in
English and 2 points in Math.
How many points did she get
two sibjects?

3. Solution:
The points earned by Rhea are considered as positive numbers.
We need to add the points to obtain the total. Therefore, the
mathematical sentence is:
⁺3 + ⁺2 = N
Solution: ⁺3 + ⁺2 = ⁺5
3 units 2 units

4. Answer:
Rhea got 5 points in
recitation in the two
subjects.

5. •The mathematical sentence ⁺3
+ ⁺2 = ⁺5 means the sum of
positive integers is positive. The
absolute value ⁺3 is 3 units while
the absolute value of ⁺2 is 2 units.
When we say absolute value of an
integer, this means that it is the
numerical value regardless of its
sign-whether it is negative or
positive. On a number line, it is the
distance between the number and
zero.

6. • Examples
| ⁺6 | = 6 | ⁻8 | = 8
| ⁺12 | = 12 | ⁻ 14 | = 14
In the given problem, since both integers are positive, the direction is to the right.
Using tiles we can illustrate ⁺3 + ⁺2 = ⁺5 this way:
+ =
⁺3 + ⁺2 = ⁺5
⁺1 ⁺1 ⁺1 ⁺1 ⁺1 ⁺1 ⁺1 ⁺1 ⁺1 ⁺1

7. What about if two negative
integers are added?
• Example: ⁻3 + ⁻2 = N
• Solution: ⁻3 + ⁻2 = ⁻5
3 units
2 units

8. Answer:
•The sum of
⁻3 and ⁻2 is ⁻5

9. What about adding a positive
integer and a negative integer?
•Example ⁺3 + ⁻2 = N
•Solution ⁺3 + ⁻2 = ⁺1

10. Answer:
•The sum of
⁺3 and ⁻2 is ⁺5

11. Write the correct answer in the
box.
•1. ⁺3 + ⁺2 = 6. ⁻3 + ⁻2 =
•2. ⁺4 + ⁺3 = 7. ⁻2 + ⁻4 =
•3. ⁺5 + ⁺1 = 8. ⁻4 + ⁺1 =
•4. ⁺3 + ⁺2 = 9. ⁺5 + ⁻2 =
•5. ⁺6 + ⁺2 = 10. ⁻4 + ⁻4 =