Chapter 1, Problem 13MCQ

To determine

The answer to the given calculation.

Answer to Problem 13MCQ

Option (c)

Explanation of Solution

$\begin{array}{c}\frac{\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)}{2.8\times {10}^{10}}=\frac{17.28\times {10}^{14}}{2.8\times {10}^{10}}\\ =\frac{6.17\times {10}^{14}}{{10}^{10}}\\ =6.17\times {10}^4\end{array}$

Conclusion:

The calculation of . $\frac{\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)}{2.8\times {10}^{10}}$ shows that answer is $6.17\times {10}^4$. Thus, option (c) is correct.

For result $2.76\times {10}^5$ of calculation for fraction $\frac{\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)}{2.8\times {10}^{10}}$, numerator of fraction should be $\left(4.8\times {10}^9\right)\times \left(16.1\times {10}^5\right)$ and not $\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)$. Thus, option (a) is incorrect.

For result $3.00\times {10}^{35}$ of calculation for fraction $\frac{\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)}{2.8\times {10}^{10}}$, numerator of fraction should be $\left(4.8\times {10}^9\right)\times \left(1.75\times {10}^{36}\right)$. However, given numerator of fraction is $\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)$. Thus, option (b) is incorrect.

For result $9.42\times {10}^{24}$ of calculation for fraction $\frac{\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)}{2.8\times {10}^{10}}$, numerator of fraction should be $\left(4.8\times {10}^9\right)\times \left(5.49\times {10}^{25}\right)$. However, given numerator of fraction is $\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)$. Thus, option (d) is incorrect.

For result $8.40\times {10}^{45}$ of calculation for fraction $\frac{\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)}{2.8\times {10}^{10}}$, numerator of fraction should be $\left(4.8\times {10}^9\right)\times \left(4.9\times {10}^{46}\right)$. In the given case, the numerator of fraction is $\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)$. Thus, option (e) is incorrect.

For result $49.8\times {10}^5$ of calculation for fraction $\frac{\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)}{2.8\times {10}^{10}}$, numerator of fraction should be $\left(4.8\times {10}^9\right)\times \left(29.05\times {10}^{06}\right)$. However, given numerator of fraction is $\left(4.8\times {10}^9\right)\times \left(3.6\times {10}^5\right)$. Thus, option (f) is incorrect.