The document discusses integers and their properties, including that integers are whole numbers that have a positive, negative, or zero sign. It explains how to represent integers using a number line and how to perform addition and subtraction of integers by moving left or right on the number line. Key concepts covered are positive and negative integers, comparing and ordering integers, and adding and subtracting integers based on their signs.

1. SWATHY S

2. Integers
Negative integers Positive integers
Zero
… , -3 , -2 , -1 , 0 , 1 , 2 , 3 , …

3. 1. An integer is a whole number that
has a positive sign (+) or a negative
sign (-) , including zero.
Understanding integers
A

4. 2. A positive integer is a whole number
with a positive sign or without any sign.
Example
+2 , +7, 8 , 12.

5. 3. A negative integer is a whole number
with a negative sign.
Example
-3 , -10 , -20.

6. Solution (a) Positive seventy - nine
(a) Write +79 in words.
(b) Write negative one hundred and fifty
in figures.
(b) -150
Example

7. Example
Solution The integers are -2 , 6 and 0.
State the integers from the list below.
2
5
-2 , + , 6 , -2.9 , 0 ,
1
4
3

8. nted
Representing integers using a
number line
B
Integers can be represented using a
horizontal or a vertical number line

9. Increasing
Decreasing
-5 -4 -3 -2 -1 0 1 2 3 4 5
Number line.

10. Positive integers
Negative integers
Zero
-4 -3 -2 -1 0 1 2 3
4
Horizontal number line

11. 4
3
2
1
0
-1
-2
-3
-4
Negative
integers
Positive
integers
Zero
Vertical number line

12. Test
Yourself
1. Use a number line to represent the
integers from
(a) -3 to 4
(b) -20 to -15

13. tol
Comparing two integers
C
On a horizontal number line , an integer is
always greater than the integers to its left
and less than the integers to its right.

14. Example
-4 -3 -2 -1 0 1 2 3
-2 is greater than -4 but is less than 1.

15. Arranging integers in order
D
1. We can arrange integers in increasing or
decreasing order using a number line.

16. 2. We can identify the largest integer and
the smallest integer by arranging the
given integers in order.

17. Example
Determine the largest integer and the
smallest integer from the following set of
numbers.
1, -2, 3, 0, -
5

18. solution
-5 -4 -3 -2 -1 0 1 2 3
The largest integer is 3 and the smallest
integer is -5

19. 2.2 Addition and Subtraction of Integers
Addition of Integers
A
1. Addition of Integers is a process of
finding the sum of two or more integers.

20. 2. Addition an Integers to a positive
integer can be represented using a number
line by a movement towards the positive
direction, which means from left to right.
-2 -1 0 1 2
+4
For example, -2 + 4 = 2

21. 3. Adding an integer to a negative integer
can be represented using a number line by
a movement towards the negative direction,
which means from right to left
-2 -1 0 1 2
-4
For example, 2 +(-4)=-2

22. 4. Integers with like signs are integers
with the same sign.
For
example
2 and 5
-8 and -12

23. 5. Integers with unlike signs are integers
with different signs.
For
example
-4 and 10
3 and -9

24. 1 +
Example
Simplify each of the following.
(a) 1 + (- 2)
-3 -2 -1 0 1 2
1 + (- 2) = -1
Solution

25. Evaluate 6 +(-4) + (-5).
Example
Solution
-3 -2 -1 0 1 2 3 4 5
6
6 +(-4) + (-5) = -3

26. THE END