Answer
True.
Work Step by Step
Simplify the expression on the left-hand side to obtain,
\[\begin{align}
& \left( 4\times {{10}^{3}} \right)+\left( 3\times {{10}^{2}} \right)=\left( 4\times 1000 \right)+\left( 3\times 100 \right) \\
& =4000+300 \\
& =4300
\end{align}\]
Simplify the expression on the right-hand side to obtain,
\[\begin{align}
& 43\times {{10}^{2}}=43\times 100 \\
& =4300
\end{align}\]
Hence, the provided statement is correct.