A lies between 1.3313340 and 1.3353340. A good estimate is obtained by averaging these numbers: A ≈

1. Break Down the Problem

We need to find the average of the two given numbers: 1.3313340 and 1.3353340. The average will provide a good estimate for A.

2. Relevant Concepts

The formula for finding the average (mean) of two numbers $x_1$ and $x_2$ is given by:

$A \approx \frac{x_1 + x_2}{2}$

3. Analysis and Detail

Let's apply the formula to our specific numbers:

1. Identify the numbers:

   • $x_1 = 1.3313340$
   • $x_2 = 1.3353340$

2. Substitute the numbers into the formula: $A \approx \frac{1.3313340 + 1.3353340}{2}$

3. Perform the addition: $1.3313340 + 1.3353340 = 2.6666680$

4. Now, divide by 2 to find the average: $A \approx \frac{2.6666680}{2} = 1.3333340$

4. Verify and Summarize

We calculated the average by first adding the two numbers and then dividing by 2. The calculations are verified as accurate.

Final Answer

A good estimate for A is: $A \approx 1.3333340$