Question

Which of the following options are equal to $0.0015246$ ?

• A. $1.5246\times {10}^{-3}$
• B. $15.246\times {10}^{-4}$
• C. $0.15246\times {10}^{-2}$
• D. $152.46\times {10}^{-4}$

Answer 1

Answer: (A), (B), (C)

The correct options are
A $1.5246\times {10}^{-3}$
B $15.246\times {10}^{-4}$
C $0.15246\times {10}^{-2}$

$0.0015246=\frac{15246}{10000000}$
$=\frac{15246}{{10}^7}$
$=\frac{1.5246\times {10}^4}{{10}^7}$
$=1.5246\times {10}^{-3}(\because \frac{a^m}{a^n}=a^{m-n}).....\left(1\right)$
From (1),
$1.5246\times {10}^{-3}=15.246\times {10}^{-1}\times {10}^{-3}$
$=15.246\times {10}^{-4}....\left(2\right)$
From (2),
$15.246\times {10}^{-4}=0.15246\times {10}^2\times {10}^{-4}$
$=0.15246\times {10}^{-2}.$