Question

Which of the following options are the same as $53.48$?

• A. $5348\times {10}^{-2}$
• B. $5.348\times {10}^1$
• C. $(5\times {10}^1)+(3\times {10}^0)+(4\times {10}^{-2})+(8\times {10}^{-1})$
• D. $(5\times {10}^1)+(3\times {10}^0)+(4\times {10}^{-1})+(8\times {10}^{-2})$

Answer 1

Answer: (A), (B), (D)

The correct options are
A $5348\times {10}^{-2}$
B $5.348\times {10}^1$
D $(5\times {10}^1)+(3\times {10}^0)+(4\times {10}^{-1})+(8\times {10}^{-2})$

$53.48=\frac{5348}{100}=\frac{5348}{{10}^2}=5348\times {10}^{-2}$
Also, $53.48=5.348\times 10.$
The expanded form of $53.48$ is as follows:
$53.48=(5\times 10)+(3\times {10}^0)+\frac{4}{10}+\frac{8}{100}$
$=(5\times 10)+(3\times {10}^0)+(4\times {10}^{-1})+(8\times {10}^{-2})$