Let's plan a trip starting from Atlanta, then visiting Chicago, Seattle, and finally returning to Atlanta. We can summarize the distance between the cities using the table provided and perform the calculations.
### Step 1: Identify the Distances
From the table:
1. **Atlanta to Chicago**: \( 9.444 \times 10^2 \) miles
2. **Chicago to Seattle**: \( 2.78657 \times 10^3 \) miles
3. **Seattle to Atlanta**: \( 3.50307 \times 10^3 \) miles
### Step 2: Calculate the Total Distance
Now we will add all the distances together.
- **Distance from Atlanta to Chicago**:
\[
9.444 \times 10^2 = 944.4 \text{ miles}
\]
- **Distance from Chicago to Seattle**:
\[
2.78657 \times 10^3 = 2786.57 \text{ miles}
\]
- **Distance from Seattle to Atlanta**:
\[
3.50307 \times 10^3 = 3503.07 \text{ miles}
\]
### Total Distance Calculation
Now we add the distances:
\[
944.4 + 2786.57 + 3503.07 = 7234.04 \text{ miles}
\]
### Step 3: Convert the Total Distance to Scientific Notation
To express \( 7234.04 \) in scientific notation:
\[
7234.04 = 7.23404 \times 10^3
\]
### Final Result
So the total distance traveled in decimal notation and scientific notation is:
- **Total Distance Traveled (Decimal Notation)**: \( 7234.04 \) miles
- **Total Distance Traveled (Scientific Notation)**: \( 7.23404 \times 10^3 \) miles
### Recap of Trip Route
- Start at **Atlanta**
- Travel to **Chicago**
- Travel to **Seattle**
- Return to **Atlanta**
Total distance traveled:
- **Decimal Notation**: \( 7234.04 \) miles
- **Scientific Notation**: \( 7.23404 \times 10^3 \) miles