Integers include whole numbers and their negative counterparts. They are ordered on a number line with positive integers to the right of zero and negative integers to the left. The absolute value of an integer is its distance from zero, regardless of sign. Addition and subtraction of integers follows rules where numbers with the same sign are added, and different signs are subtracted and take the sign of the greater number.

1. INTEGERS

4. INTEGERS
THE WHOLE NUMBERS ALONG WITH
NEGATIVE NUMBERS ARE CALLED
INTEGERS.

5. ORDERING OF INTEGERS
• On a number line an integer to the right is
always greater than integer to the left.
• Negative and zero lie to the left of the positive
integers, so all positive integers are greater than
negative integers and zero.
• O lies to the right of the negative integers, so 0 is
always greater than negative integers.

6. 2.Introduce <,> or =
• 0__-3
• -4_ 1
• -7_-5
• 0_4
• 1_0
• -10__-10

7. ABSOLUTE VALUE OF AN INTEGER
• The absolute value of an integer is the
distance of that integer from 0 irrespective of
direction, i.e., negative or positive.

8. a. 10
b. 84
c.73
d.64
e.1

9. Additive inverse
• Two integers are called additive inverse of each
other if their sum is zero.
• 37= -37
• -59= 59

10. Write the additive inverse of the
following integers.
a. -27= +27
b. -301= +301
c. +61=-61
d. -1=+1
e. -8=+8

11. a) +50 e)-40
b) -50 f) +40
c) -50
d) +50

12. 3. Write all the integers between
a) -4 and 0
-3,-2,-1
b) -6 and -3
-5,-4,
c)-3 and 3
-2,-1,0,1,2

13. 4. Arrange the numbers in ascending
order.
1. -6,0,-7,3,-10,4
-10, -7, -6, 0, 3,4
2. 3,6,-3,0,-8,1
-8,-3,0,1,3,6

14. Addition of Integers
• (-2) +(-3)= -5
• (-6) +(-1)= -7
• (-3)+(-5)= -8
• 1+(-7)= -6
• 6+ (-11) = -5
• 8+(-8)= 0
• 9+(-1)=8
• 4+(-3)=1

15. • 9+(-1)= +8
• 4+(-3)=+1
• (-3) + 3= 0
• (-6) +6= 0
• 2+(-2)= 0
• 6+(-3)= +3
• 12+(-5)= +7
• 4+(-2)=+2
• 1+(-5)=-4
• 7+(+2)=+9

16. • While doing addition of two integers belonging
to the same group, we have to add and put the
sign of that group.
(+)+(+) = +
(-)+(-)= -
• While doing addition of two integers belonging
to two different groups, we have to subtract and
put the sign of the greater number.

17. Subtraction Of Integers
1. 7-(-4)=
7 +4=11
2. 9-(-1)= 9 +1=10
3. 8-(-10) = 8+ 10=18
4. 16-(-7)= 16+7=23
5. (-9) –(-1) = (-9) +1= -8
6. (-7)-(-9)= (-7) + 9=+2

18. Subtract
1. 25 from -50
(-50) – (25)=(-50) +(-25) =-75
2. -70 from -70=
( -70) – (-70)=
(-70) +70=0
3.-315 from 360= 360 –(-315)=
360 +315 =675
4. 0 from (-70)=
(-70) -0= (-70) + 0= -70
5.

19. 1. (-8) –(+3)= (-8) +(-3)= -11
2. (-13) –(+14) = (-13)+ (-14) = - 27
3. (-13)-(-7) = (-13) +(+7) = -6
4. (-5) –(-5)= (-5) +(+5) = 0
5. (-8) –(-9)= (-8) +(+9) = +1
6. (-6) –(+3) = (-6) +(-3) =-9

20. 1.Subtract the sum of 28 and -12 from
50.
Sum of 28 and -12
=28+(-12)= +16
50- (16)= 50 + (-16)= +34