Chapter 1, Problem 1MCQ

To determine

The product of multiplication of $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(7\times {10}^7\right)$.

Answer to Problem 1MCQ

Option (f)

Explanation of Solution

The product of $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(7\times {10}^7\right)$ is,

$\left(5\times 6\times 7\times {10}^{18}\right)=2.1\times {10}^{20}$.

Conclusion:

The multiplication of $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(7\times {10}^7\right)$ gives $2.1\times {10}^{20}$. Thus, option (f) is correct.

For product $18\times {10}^{18}$ values of multiplication should be $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(\text{6 }\times {10}^6\right)$ but given values of multiplication are $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(7\times {10}^7\right)$. Thus, option (a) is incorrect.

For product $18\times {10}^{20}$ values of multiplication must be $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(\text{6 }\times {10}^7\right)$ but the specific given values of multiplication are $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(7\times {10}^7\right)$. Thus, option (b) is incorrect.

For product $18\times {10}^{210}$ multiplication values should be $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(\text{3 }\times {10}^{198}\right)$ but given values of multiplication is $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(7\times {10}^7\right)$. Thus, option (c) is incorrect.

For product $18\times {10}^{180}$ values of multiplication should be $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(\text{3 }\times {10}^{168}\right)$ but given values of multiplication is $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(7\times {10}^7\right)$. Thus, option (d) is incorrect.

For the product $210\times {10}^{210}$, values of multiplication should be $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(\text{7 }\times {10}^{199}\right)$ but given values of multiplication in the option are $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(7\times {10}^7\right)$. Thus, option (e) is incorrect.

For product $20\times {10}^{21}$ values of multiplication should be $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(6.6\times {10}^9\right)$ but given values of multiplication are $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(7\times {10}^7\right)$. Thus, option (g) is incorrect.

For product $20\times {10}^{21}$ values of multiplication should be $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(7\times {10}^{199}\right)$ but given values of multiplication are $\left(5\times {10}^5\right)\times \left(6\times {10}^6\right)\times \left(7\times {10}^7\right)$. Thus, option (h) is incorrect.