Question

The result of $\left( {54.327 \times 357.2 \times 0.0057} \right)$ is same as
A. $5.4327 \times 3.572 \times 5.7$
B. $5.4327 \times 3.572 \times 0.57$
C. $54327 \times 3572 \times 0.0000057$
D. $5432.7 \times 3.572 \times 0.000057$

Answer 1

Hint:
We will first write the given expression in the form of fraction. Then, we will write the given expression in options in fractional form. After that we will compare the expressions of the option to the given expressions.

Complete step by step solution:
We will convert the expression $\left( {54.327 \times 357.2 \times 0.0057} \right)$ in fractional form.
In the number, 54.327 there are 3 digits after decimal, then it is written as $\dfrac{{54327}}{{1000}}$
There is one digit after decimal, then 357.2 is written as $\dfrac{{3572}}{{10}}$
Also, there are 4 digits after decimal in the number, 0.0057 is written as $\dfrac{{57}}{{10000}}$
Then, the given expression is written as $\dfrac{{54327 \times 3572 \times 57}}{{1000 \times 10 \times 10000}}$
Similarly, we will convert each of the given options in fractional form.
$5.4327 \times 3.572 \times 5.7$ can be written as $\dfrac{{54327 \times 3572 \times 57}}{{10000 \times 1000 \times 10}}$
$5.4327 \times 3.572 \times 0.57$ can be written as $\dfrac{{54327 \times 3572 \times 57}}{{10000 \times 1000 \times 100}}$
Similarly, $54327 \times 3572 \times 0.0000057$ can be written as $\dfrac{{54327 \times 3572 \times 57}}{{1,00,00,000}}$
And $5432.7 \times 3.572 \times 0.000057$ is written as $\dfrac{{54327 \times 3572 \times 57}}{{10 \times 1000 \times 10,00,000}}$

Here, we can see option A is equivalent to the given expression $\left( {54.327 \times 357.2 \times 0.0057} \right)$

Note:
The numbers in which no decimal point is given for example, 345, then the decimal point is after 5 and is written as 345.00. Also, 345 in fractional form is written as $\dfrac{{345}}{1}$.