The document discusses absolute value and integer addition and subtraction. It provides examples of finding the absolute value of integers and performing operations involving integers with absolute values. The key points are: - The absolute value of a number is its distance from zero on the number line. - When adding or subtracting integers, follow the rules: same signs add, different signs subtract, and start with the greater number while following its sign.

3. 1. add and subtract integers
2. gain knowledge on the concept of
absolute values.

5. The is the
between that number and zero on a number line.
|𝑥|

6. The absolute value of x is written as | x |.
|𝑥|

7. Example 1:
Find each absolute value.
a. | 5 |
Answer:
Since 5 is 5 units from zero, the absolute value of
5 is 5.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
The is the
between that number and
zero on a number line.

8. Example 2:
Find each absolute value.
a. | −5 |
Answer:
Since −5 is 5 units from zero, the absolute value
of −5 is 5.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
The is the
between that number and
zero on a number line.

9. Example 3:
Find each absolute value.
a. | 3 |
Answer:
Since 3 is 3 units from zero, the absolute value of
3 is 3.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
The is the
between that number and
zero on a number line.

10. Example 4:
Find each absolute value.
a. | −3 |
Answer:
Since −3 is 3 units from zero, the absolute value
of −3 is 3.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
The is the
between that number and
zero on a number line.

11. Example 5:
Find each absolute value.
a. | 0 |
Answer:
The Absolute value of 0 is 0.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
The is the
between that number and
zero on a number line.

12. Got
questions?

13. Find the value of each expression
Example 1:
9 | − 2|+
= 9 + 2
= 11
The is the
between that number and
zero on a number line.

14. Find the value of each expression
Example 2:
−7 | 3 |−
= 7 − 3
= 4
The is the
between that number and
zero on a number line.

15. Find the value of each expression
Example 3:
−17 | − 12 |−
= 17 − 12
= 5
The is the
between that number and
zero on a number line.

16. Find the value of each expression
Example 4:
−2 | − 4 |∙
= 2 ∙ 4
= 8
The is the
between that number and
zero on a number line.

17. Find the value of each expression
Example 5:
−10 | − 5 |÷
= 10 ÷ 5
= 2
The is the
between that number and
zero on a number line.

18. Find the value of each expression
Example 6:
10 − 21
= | − 11 |
= 11
The is the
between that number and
zero on a number line.

19. Got
questions?

21. Steps to follow:
1. Break the grouping symbols if present.
2. Follow the rule:
a. Same signs, add;
b. Different signs, subtract.
3. Add or subtract, always start from the greater
number.
4. Follow the greater number’s sign.

22. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 1:
37 + 22
= 59

23. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 2:
50 − 47
= 3

24. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 3:
6 − 14
= −8

25. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 4:
−27 + 3
= −24

26. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 5:
−7 + (−13)
−7 − 13
= 20−

27. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 6:
14 − (−33)
14 + 33
= 37

28. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 7:
−8 − (−11)
−8 + 11
= 3

29. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 8:
−16 + −2 − (−3)
−16 − 2 + 3
18− 3+

30. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 8:
−16 + −2 − (−3)
−16 − 2 + 3
18− 3+
= 15−

31. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 9:
(−7) − −4 + (−2)
−7 + 4 − 2
3− 2−

32. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 9:
(−7) − −4 + (−2)
−7 + 4 − 2
3− 2−
= 5−

33. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 10:
13 − −12 + (−11)
13 + 12 − 11
25 11−

34. Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.
Example 10:
13 − −12 + (−11)
13 + 12 − 11
25 11−
= 14

35. Got
questions?

37. Add the following integers.
1. −9 − 2
2. −2 + 13
3. 8 − 51
4. −3 − 22
5. −28 − 12
6. −2 − −3 + (−2)
7. −7 − −1 − 3
8. −8 − (−19)
9. −13 − −4 − (−7)
10. −9 − −12 + 2
= -11
= 11
= -43
= -25
= -40
= −1
= −9
= 11
= −2
= 5
Steps to follow:
1. Break the grouping symbols if present. 3. Add or subtract, always start from the greater number.
2. Follow the rule: 4. Follow the greater number’s sign.
a. Same signs, add;
b. Different signs, subtract.