Page 23 - WCS - Electrical

WORKSHOP CALCULATION & SCIENCE - CITS

453.273
453.273
375 15 3 2 7 3
0.375 = = = = (4× 100) + (5× 10) + (3× 1) + + +
100 40 8 10 100 100
3 273
0.375 = = 453
8 1000
• Write the representation of decimal places in the given number 0.386
9
7
21
3 - Ist decimal place
16 = = 0.875
8
24
8 - IInd decimal place

375 375 0.5625 315 3 6 - IIIrd decimal place 7 7 3 3
15
2 2
100
= =
= =
0.375 = = 16 90000 = (4×(4×= 100) + (5×(5) + 10) + 10)× (3×(+ 1) + 1)3× 625 + ++ 5 + 1 +
0.375
=
0.0625 =
=
100 100 40 40 8 8 • Write approximations in the following decimals to 3 places.
10 10
100 100
100 100
16
10000
80
273 273
3 3 a 6.9453 ——> 6.945
0.375
0.375 = = = 453 453=
1000 1000
8 8 9 b 8.7456 ——> 8.746
16 • Convert fraction to decimal
9 9 21 21 7 7
0.875
= =
= =
16 16 1 , 2 , 1 24 24 8 8 0.875
3 3 7 • Convert decimal to fraction

0.5625
0.5625

1 1
625 625
5 5
1
16 16 90000 = 10000 = 0.3333 − Recurring 0.0625 = = = = = =
90000
0.0625
10000
3 3 10000 80 80 16 16
9 9 2 20000 Assignment
16 16 3 = 3 = 0.666 − Recurring 500 + 70 + 5 + 3 2 9
9
2 +
3 +
+
70 +
500 +
+
5 +
100
1000
1 Write down the following decimal numbers in the expanded form.
10
10 100 1000 1.54
1 1 1 2 1 10000  a 514.726 1.54
2
 1
, ,, ,  = = 0.14285714 2 − Recurring  1 3 5 1.1
3 3 3 7 73  7 7  b 902.524 200 + 9 + 1 + 3 + 5 1.1
200 +
+
9 +
+
100
10
1000
2 Write the following decimal numbers from the expansion.

10
1000
100
2
9
3
10000
1 1 10000 = 0.3333 − −= 0.3333 Recurring 500 + 70 + 5 + + 3 + 2 9
= =
Recurring
+
70
1000 +
100 +
500
9 2
2 3
3 3 3 3 a 500 + 70 + 50 5 + 700 + 3 10 5 ++ + 5 ++ 10 + + 100 3 9 1.54 5
+ 1000
5
1
100
10 10010 1000 3 1000 1.54 1 8
5
1.1
1.54
20000
2 2 20000 1 3 5 5 1.54 1.1 8
= = = 0.666 − −= 0.666 Recurring b 200 + 9 + + 1 + 3 5 10 1.1 12
Recurring
1000 +
200
100 +
1 9 ++
10

5 3
3 1
3 3 3 3 200 + 9 + 200 + 9 ++ 10 + + 100 + 1000 5 10 1.1 12
25
4
10
1000
1000
10010
100
4
3 Convert the following decimals into fractions in the simplest form. 25
9
3
2
5

 1  1 10000   500 + 70 + 5 + 3 + + 9 1 5
3 2
10000
a 0.72
= 0.142857
 
  = = = 0.14285714 2 214 − Recurring 500 + 70 + 5 + 10 + 100 + 3 1000 24 54 5 8 1 5
− Recurring
54
3
 7  7 7 7   b 5.45 10 3 5 100 5 1000 24 1000 1.54 1 1 8
1.54
1000
8
5
c 3.64 1 10 5 5 12 1.1 12 12 8
3
200 + 9 + 1 + 3 + 5 10 12 1.1
25
10 4+
200 + 9 + + 100 1000 10 25 12 25 12
d 2.05 10
10 100 1000 4 25
4
4

4 Convert the following fraction into decimals 25 25
54
3 24 54 8 5
54
3 1000 24 54 8 5 1
a 5 24 c 24 1000 e 25 1 8
1000
5 12 1000 25 8
12
10 12 3 12
25
1
b 10 12 d 12 f 3
25
4 25 1 25 25
4 25 25 25
54 8 8
24 54 62.5
24 1000 8 25 25 8 62.5
1000 25 25 25 10
12 3 3 25
1
12 3 25 1 3 CITS : WCS - Electrical - Exercise 1
25 1 1 25 64.56
25 25 25 64.56
10
8 62.5 10
8 62.5
25
25 62.5 62.5 0.42
0.42
25 25 100
3 25 25 100
3 64.56
1
1 25 64.56 48.356
10
25 64.56 64.56 48.356
10 1000
10 10 1000
62.5 0.42
62.5 0.42 16.8
100
25 0.42 0.42 16.8
25 100 1.2
100
48.356 100 1.2
64.56 48.356
64.56 48.356 48.356
1000
10 1000
10 1000 1000
0.42 16.8 16.8
0.42 16.8 16.8
1.2
100 1.2
100 1.2 1.2
48.356
48.356
1000
1000
16.8
16.8
1.2
1.2