3 x 3 x 3 x 3 x 30 = 2430. Sum of decimal places = 6
Therefore, 3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 = 0.00243
x / y = 0.04 / 1.5 = 4 / 150 = 2 / 75.
= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77...
4*A + 7/B + 2*C + 5/D + 6*E =47.2506
=> 4 * A + 7/B + 2 *C + 5/D + 6*E = 40 + 7 + 0.2 + 0.05 + 0.0006
Comparing the terms on both sides, we get :
4*A =40, 7/B = 7, 2*C = 0.2, 5/D = 0.05, 6*E = 0.0006
A = 10,
B = 1,
C = 0.1,
D = 100,
E = 0.0001.
5*A + 3*B + 6*C + D + 3*E =(5*10) + (3*1) + (6*0.1) +100 +(3*0.0001)
=50 + 3 + 0.6 + 100 + 0.003 = 153.6003.
0.36 = 36/100 = 9/25.
Sum of the numerator and denominator is 9 + 25 = 34
1 / (60 * 60) = 1 / 3600 = .0027
3 /4 = 0.75, 5/6 = 0.833, 1/2 = .5, 2/3 = 0.66, 4/5 = 0.8, 9/10 = 0.9.
clearly 0.8 lies between 0.75 and .833.
4/5 lies between 3/4 and 5/6..
Length of each piece = (1/8) m = 0.125 m
Required no of pieces = (37.5/0.125) = (375 * 100) / 125 = 300.
Number of decimal places in the given expression = 8
Number of decimal places in (A) = 8
Number of decimal places in (B) = 9
Number of decimal places in (C)= 7
Clearly , the expresssion in (A) is the same as the given Expression.
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