Chapter 4.5, Problem 47STP

To determine

To choose : the correct statement

Answer to Problem 47STP

The correct answer is Amade both numbers have the same power of 10

Explanation of Solution

Given information :

Ariana is evaluating, $\left(8\cdot {10}^3\right)+\left(4\cdot {10}^5\right)$ as

  

Calculation :

To evaluate the expression use the distributive property. But for it ,Made both numbers have the same power of 10.

Therefore the solution of the expression is.

  $\begin{array}{l}\left(8\cdot {10}^3\right)+\left(4\cdot {10}^5\right)\\ \left(8\cdot {10}^3\right)+\left(4\cdot {10}^{3+2}\right)\\ \left(8\cdot {10}^3\right)+\left(4\cdot {10}^2\cdot {10}^3\right)\\ \left(8\cdot {10}^3\right)+\left(400\cdot {10}^3\right)\\ \left(8+400\right)\cdot {10}^3\\ =408\cdot {10}^3\end{array}$

Hence, the correct answer is A made both numbers have the same power of 10.