Question

Find the number from each of the following expanded forms: ${(4\times 10)}^5+{(5\times 10)}^3+{(3\times 10)}^2+{(2\times 10)}^0$.

Answer 1

Compute the required value:

The number can be found as

$$\begin{gathered} {(4\times 10)}^5+{(5\times 10)}^3+{(3\times 10)}^2+{(2\times 10)}^0 \\ \Rightarrow {\left(40\right)}^5+{\left(50\right)}^3+{\left(30\right)}^2+{\left(20\right)}^0 \\ \Rightarrow 102400000+125000+900+1 \\ \Rightarrow 102525901 \end{gathered}$$

Hence, the number from the expanded form ${(4\times 10)}^5+{(5\times 10)}^3+{(3\times 10)}^2+{(2\times 10)}^0$ is $102525901$.