Question

The approximate areas of two states are listed below.·Texas : 2.69 × 10^5 square miles·Rhode island : 1.21 × 10^3 square milesDetermine the difference, in square miles, between the area of Texas and the area of Rhode island. write your answer is scientific natation.

Answer 1

Given, area of Texas,

$A_T=2.69\times10^5\text{ square miles}$

Area of Rhode island,

$A_R=1.21\times10^3\text{ square miles}$

Now, the difference in area of Texas and the area of Rhode island is,

$\begin{gathered} A=A_T-A_R \\ =2.69\times10^5-1.21\times10^3 \\ =269\times10^3-1.21\times10^3 \\ =(269-1.21)\times10^3 \\ =267.79\times10^3 \\ =2.6779\times10^2\times10^3 \\ =2.6779\times10^5 \end{gathered}$

Therefore, the difference in area in square miles expressed in scientific notation is,

$2.6779\times10^5\text{ square miles}$