Find the number of naughts after decimal before a significant figure comes in the number ((5/6))100.

Question

Find the number of naughts after decimal before a significant figure comes in the number ((5/6))100. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

y =((5/6))100 ⇒ log 10 y =100( log 10 5- log 10 6)=100(1- log 10 2- log 10 3- log 10 2) ⇒ -7.91 ⇒-8+0.09 since char is -8 . Hence number of zeros after decimal =7

Q. Find the number of naughts after decimal before a significant figure comes in the number $(\frac{5}{6})^{100}$ .

$y = (\frac{5}{6})^{100} \Rightarrow lo g_{10} y = 100 (lo g_{10} 5 - lo g_{10} 6) = 100 (1 - lo g_{10} 2 - lo g_{10} 3 - lo g_{10} 2)$
$\Rightarrow - 7.91 \Rightarrow - 8 + 0.09$
since char is -8 . Hence number of zeros after decimal $= 7$

Q. Find the number of naughts after decimal before a significant figure comes in the number (65​)100.

y=(65​)100⇒log10​y=100(log10​5−log10​6)=100(1−log10​2−log10​3−log10​2) ⇒−7.91⇒−8+0.09 since char is -8 . Hence number of zeros after decimal =7

Q. Find the number of naughts after decimal before a significant figure comes in the number $(\frac{5}{6})^{100}$ .

$y = (\frac{5}{6})^{100} \Rightarrow lo g_{10} y = 100 (lo g_{10} 5 - lo g_{10} 6) = 100 (1 - lo g_{10} 2 - lo g_{10} 3 - lo g_{10} 2)$
$\Rightarrow - 7.91 \Rightarrow - 8 + 0.09$
since char is -8 . Hence number of zeros after decimal $= 7$