The approximate areas of Alabama and Rhode Island are listed below:

Alabama: 1, point, 3, 6, times, 10, to the power 51.36×10
5
square kilometers
Rhode Island: 4, times, 10, cubed4×10
3
square kilometers
How many times larger is Alabama than Rhode Island? Write your answer in standard notation, rounding to the nearest tenth.

1 answer

To find out how many times larger Alabama is than Rhode Island, we need to divide the area of Alabama by the area of Rhode Island.

  1. Areas in scientific notation:

    • Alabama: \( 1.36 \times 10^5 \) square kilometers
    • Rhode Island: \( 4 \times 10^3 \) square kilometers
  2. Division of the areas: \[ \text{Ratio} = \frac{\text{Area of Alabama}}{\text{Area of Rhode Island}} = \frac{1.36 \times 10^5}{4 \times 10^3} \]

  3. Calculate the numerical part: \[ \frac{1.36}{4} = 0.34 \]

  4. Calculate the power of ten: \[ \frac{10^5}{10^3} = 10^{(5 - 3)} = 10^2 \]

  5. Combine the results: \[ \text{Ratio} = 0.34 \times 10^2 = 34 \]

Thus, Alabama is approximately 34 times larger than Rhode Island.

In standard notation, rounded to the nearest tenth, the answer is:

\[ \boxed{34.0} \]