Page 19 - WCS - Electrical

2
2
7
1
__________
=
3
7
=
1
__________
_________
+
=
_________
3
7
7
__________
8
1
=
4
4
+
=
3 7
8
4
__________
4
=
__________
4
= 3

4
2 3
3
4
5
_________
5
=
7+
3+
=
1 4
= __________
__________
_________
= 3
+ 4
3

5
8
5
7 3 5
5
5
8
=
3
_________
4 +
8 +
3
__________
=
3
__________
=
7 8
1 55

7
3 3
5
1
7
5
= __________
4 3
__________
3
1
6
=
+
=
_________
6
3
4
+
=
1
_________
7
7
9
5 5
12
+
_________
=
12
4
9
12
3
6
+
_________
1
+
=
=
__________
5
8
5 __________
3
=
4
12
9
12
11
3
__________
=
11
4
=
__________
4
2
7
5
=
7 _________
1 −
11
_________
−
=
_________
3
=
+
+
1 2
6 4
36
5
5
36
5
12 _________
4 −
__________
=
12 =
9
__________
=
36
__________
5
14
5
=
14
=
__________
5
3
11
5
3
4 −
14
_________
18
2 =
18
_________
=
−
=
_________
5
__________
=
6
4
__________
=
6
4
5 _________
36
18
=
10
10
= __________
__________
=
4
6
10
11
1
x
3
6
1
14
11
x
1
3
1
__________
−
1
3 −
5 −
2
=
=
_________
=
__________
2
1
_________
−
=
_________
18
11
x
6
−3
1
=1
16
13
7
8
91
3
91
13
7
8
16
2
= =
1
__________
__________
_________
−
6−
=
4−
10 913
1
16
7
8
3
42

42 2
5
3
2
5
__________
=
2
11
6 __________ ________8 =+−
x
=
1
3
________
2
−
+
8 =
42
3
= x
2
5
− 5
=
−
__________
1
_________
2 7
− 6
5
x
=
__________
6
7
________
2
+
8 =
−
3
8
7
13
16
91
x
5
6
7
9
x
9
x
__________
5
=
3
3
42
2 __________
=
5
5
x
9
3
5
14
__________
5
2
________
3
−
+
8 =
14
__________
5
98 3
=
64
4
x
5
6
4
64
7 5
3
45 984
1
45
_________
=
4
64
_________
=
x
9 45
60
60
__________
= _________
=
3
5
3
14 8
98
5
60
8
__________
=
64
4
__________
=

45 8
12
12
_________
= __________
=
60
12
12
12
__________
=
8
__________
=
12
14
__________
=
14
__________
=
12
14
2

__________
x
5
=
x
__________
=
12

2
3
__________
=
3
__________
5
x
=
14
3
3
3
2
__________
x =
2
x
__________
3
x 4
5
__________
=
4
2 =
__________
x
3
4
3
5
5
3
x
=
3
x
=
__________
3
5
4
x 6
2 =
__________
4
6
__________
=
x
4
1 64
3
3
_________
÷
=
_________
=
÷
5 3
3 1
4
4
4
4
__________
= _________ =
x ÷
4 4
6 4

3
3

1 6 ÷
3 ________ =
________
=
6 ÷

3
=
÷4
_________
4
________
=
6 ÷ 2 7 = 98 __________ 1 5 3 2 2 = 1 4 5− + −3 3 + 2 12 3 3 3 1 _________ 6 8 5 + − + 3 + 7 = 3 3 + = − 3 _________
4
4
3 4 2 3
3 3 ÷ 2 = __________ ÷ 2 = __________
________
= 7
6 ÷ 4
7
4
=
__________
÷
WORKSHOP CALCULATION & SCIENCE - CITS
4
4
2 7 1 2 1
2 x_________
3 =
2 ÷ 12 = __________ = x_________

1
3
7 Place the missing numbers. 3 12
x_________
=
4
7
3 12
14
2 1 1 14 1
x________
a 14 = = 1 x_________ b = x________
12
24
3 = 12 x________ 24 12
24 12
1
7
c 14= 1x_________ 7 1
1
7 8 = 12 x________ = x_________
24 = 12 x_________ 8 12
8 12
8 Add the followings:
2 7 3 = + 1 7 x_________ 3 7
=
_________
=
=
7
2 1 a __________ _________ 7 + + 3 = _________
3
8 4
12 12
7
7
+ 3
2 __________
_________
=
=
2 1 2 = __________ 7+ 3 _________ 8 4 4 12
=
1
2 7
3
=
1 __________
1 2 1 2 7 = __________ 3 7 4 7 8 7 + 12 3 = _________
3 4
+__________
__________
+
_________
=
=
=
7
3 7 + 3 48
7
1 3 7 = = = __________ 4 5 b ______ ___ _________ 3 4 3
7 3 =
1 7 __________
8
4
= _________
_________
3 __________
=
= =
4
7 7
4
3
2 3 4 3 = __________ 3 4 8 8 8 8 + + + 4 _________ + + = _________
4
12
3 5
4 4
4 __________
=
4
=
=
1 = __________ __________ 7 3 3 3+ 4 + 3 _________ 5 5 8

3 4 3 5
4
__________
3
3 +
4 +
__________ _________
3 5
5
4 5
7 4 3 5 = = = __________ 8 3 + 5 4 = = 3 _________ 3 8 3 = _________ 1 7 7
c
4 5 __________
+ _________
+
+ +
=
=

3 + 43 5
=
_________
5 5
8
3 3 3 3 __________ 5 5 5 4 + 3 85 + 5 + 7 3 = _________ 6 + 1 + 3 = _________
= 8 _________
__________
3
=
+ 5 + 1
7
3 =
3 5
8
5
=
3 __________
3
4 = __________ __________ 3 12 5 5 6 + 8 8 7 3+ 7 _________ 4 12 9
=
__________
5 5 1 1
=

3 3 3 5
=
3
7
5
_________
5 3 12 5 = = __________ + 4 + = 1 1 1+ _________ 7 3 _________
7 +
d __________ 316
7 =
1 + 124
7 9
3 5 __________
6 =
7 3
+ =
1+
_________
6
+
=

7 1 712
7 3 7 9
5 5 12 __________
_________
=
+
=
+
3 12 12 = __________ 5 5 11 8 1 6 1 4 +1 1 12 + +3 9 3 9 _________ 4 2
12
4
6
_________
= =
6 4 +
11
4
3 = __________ __________ 4 12 12 9 9 9 − = _________
12 __________
2
=
=
12 11
9 Subtract 124 4
__________
7
5 11 12 = __________ 1 + 36 7 = 4 3+ __________ 5 5
=
2 _________
4−
=__________
11 =
6
2 _________
1
=
11
36
_________
2 =
4 −
11
−
_________
=
=
12 11 36 __________ 4 14 12 9 4 55 − = 2 _________ 5
5
4 − 24 5
_________
2 =
36
36 =
= __________ __________ 18 a 5 5 5 5 = = 5 _________ b − 3 = _________
_________
14
− 5 −
36 __________
__________
=
=
3
5
36 14
11 14 18 =__________ 4 2 = ___ 5 5_______ 6 4
__________
36 =
5 5
5−
=
3 _________
__________
14 =
3
10 =
5 _________
14 18 __________
5 −
_________
3 =
5 46
14
−
3 =
36 18 14 = __________ 5 − 10 Simplify− _________
_________
=
5
18 =

4
5 − 35 6
10
_________
18 __________
=
=
= __________ __________ 11 x 6 4 3 = _________ 6 3 1 1
18 10
= 4 _________
=
__________
− 6 −
18 =
__________
14 10 11 =__________ 5 13 3 = 6 6 4 4 3 4 1 1 2 7 − 8 − 3 − 1 16 = _________
10 = x
__________
6 6
10
x__________
1 =
3−
11=
2
10
1
3
a 6 _________
18 11 10 x x __________ − = 91 6− 3 − 1 1− 1 1 1 = _________
11 =
_________
2
6 −
13
1 3
1 − 16
11
=__________
=
2 −
= __________ x 91 __________ 6 34 2 42 6 87 − − 3 − 1− 1 − − 1= 1 _________ 2 5
=
_________

91
11 =x11 13
6 2 6 7
3 − 1 38
1 116
x __________
=
1
_________
__________ 1638
7
10 13 13 423 13 = 91 91 __________ = 2 2 7 − − − 3 8 5 − 8 − 3 − − 3 1 1 16 _________ 2 − + 8 = ________
= 91 __________
_________
= =

16
7 2
13
16
91 42__________
8 8
3 3
11 x 3 133= 91 6 5 3 b x 7 7 2− 5 8 =+ 16 7 6
________
2 1
1
42
5
42 __________
3 5
3 = x__
−
2 − _________
5 +
2 1
= ________ __________ 2 − − 2 2 67 = 5 8 = 8 = ________
42
= __________
=
+ ________
2 −
− +
8 =
________
x
13 91 5 3 = 423 5 = 5 = x 42 __________ 7 9 8 = 3 x 2 2 2 2 7 6 − 5 6 + 6 8 = ________ 3 5
16
5 +
8 =
________
__________
__________
7
x __________

2 7 −
x x
− +
8 =________
2
5 9
11 Express as improper fractions
7
3 42 9 5 5 9 = x x x __________ 2 14 5 98 7 7 6 6 3 6 5 5 4 3 64
x
x __________
5
3
3
1_
= ____ 9 = 984_____ __________ 2 45 +− 8 = 3 5 3 5 5
________
9 =
x __________
=

5
x x98
3 64
3 4
=
5 x 14 9 914 = 98 __________ 7 6 a _________ 3 5 564
=
__________
5
5
4598
3
5

__________
14 =
3 5 3 4
3
98
14 45 _________
3 64
14
98
4
9 x 45 14 = 98 _________ 60 5 4 5 4 3 64 64
45 =
60
64
8
45 _________
=
= __________ 3 5 4 4 64
=
_________
45 60
_________
b __________
45 =
14 98 60 8 =_________ 5 = 3
_________
60 =
12
60
8 =
60
45 8 60 __________ 4 64
__________
8 =
12
=
8 __________
= _________ = __________ 12

8 812
__________
=
=
__________
60 12 12 =__________ Unit, Fractions - Decimal fractions - Addition,
__________
12 =
12

12 12 __________
8 12 12 = 14
12 =
14
= __________ __________ subtraction, multiplication & division
12 __________
=
2
__________
=
12 =
__________
12 12 14 =__________ 5 x = __________
14
__________
14 = 2
14
3
14 2 __________
5
=
12 14 x x 2 = __________ Description
2
5
2 3

= __________ = __________ 3 Decimal fraction is a fraction whose denominator is 10 or powers of 10 or multiples of 10 (i.e.) 10, 100, 1000,
5
x __________
5 =
x
2 x 2 3
5
__________
=
14 5 5x 3 3 x 3 __________ 10000 etc. Meaning of a decimal number
__________
2 =
__________
x
= =
3
2 3 3x 3 32 = __________ 4
__________
2
3 x =
5 x = __________ __________ 12.3256 means
3 4
2 =
x __________
x
2 =
__________
3 4 3 4 x 4 2 = __________ 3 x 5 = __________
2
3 x =
2 =__________
x
3
4 5
=
3 3 4 4 3x 5 __________ 4 6 3 2 5 6
5
X
3 x
5 =
x 2 = __________ __________ 1 (1 3 10) + (2 X 1) + + + +
3 64
5 __________
x
x =
__________
=
6
__________
4 4 3 x 53 4 x 6 __________ ÷ = _________ 10 100 1000 10000
5 =
16
4 x 3
__________
= =
4 1÷
3 5 1 4 4 3 6 6 6 3 _________ = _________ 4 4 5 35 127 3648
1 ÷
3 =
1 44
Representation
÷
3 _________ =
÷
x = __________ = _________ Ex. = 0.5, = 0.35 = 0.0127, = 3.648

4
1 ÷ 31 4
3

_________
3 =
4
4 6 4 4 3 4 = = 4 _________ 6 ÷ The denominator is omitted. A decimal point is placed at different positions of the number corresponding to the
_________
10000
= 10
________
100
1000
÷ 4 ÷
1 3 4 4 6 ÷ 4 4 3 ________ = 4
3

6 ÷
3 =

3 4
÷ = _________ ________ magnitude of the denominator
0.25
0.75
6
________
4 4 6 ÷ ________ =÷ 6 ÷ 3 4 = ________ 3 2
3 =
6 6 ÷ ÷ 4 4 2 = = 4 ________ ÷ = __________
________
3
4 4
3 3 3÷ 2 __________ 4 7 0.75 x 100 = 75
=
2
__________
2 =
6 ÷ = _____ 3 ÷ 2 __________ 0.25 100 25
3 74___
÷
=
__________
4 4 3 ÷ 23 4 7 ÷ = 7 = 7 __________ 2 = 1 x_________
__________
2 =
__________
÷ 4 ÷
=
4 2
3 2 4 4 2= 7 7 7 1 1x_________ 3 12 25 75 = 3 6
2
1
1 x_________
2 3
÷ = ________
2 = 12__
=
1 x_________
=
x_________
12
4 7 3 2 =12 3 12 1 x_________ 14 1 CITS : WCS - Electrical - Exercise 1
x_________
= 12 x_________
3 =
900
12
3
12 1
3 3
2 1 14 12 1x________ 24 = 12 x________
14=
= x_________ 1 x________ 72.79
1
14
2
14 = 124
1 x________
x________
14 =
3 12 14 =114 24 = 1 x________ 7 1
12
12
24 7 24 1 12 x________ = x_________
= 12 x________
24 =
24
12
14 1 24 7= 12 1x_________ 8 12
1
7
1 x_________
= x________
7 8
7 = 12
1 x_________
=
x_________
=
12
24 12 8 7 =17 8 12 1 x_________ 3
x_________
= 12 x_________
8 =
8
12
12
7 1 8 8 3 12 7 + 7 = _________
= x_________ _________ 4 12
3+
7 =
_________
7 =
8 12 3 + 3 124 7 + = 7 _________
3 +
_________
=
7 12
_________
=
4 3 + 73 4 + 12 = =_________
12
_________
4 +
4
12
12
3 7 4 4 12
+ = _________
4 12