Question

What steps should be taken to complete the conversion?

StartFraction 8 miles Over 1 EndFraction times StartFraction 1.61 kilometers Over 1 mile EndFraction times StartFraction 1000 meters Over 1 kilometer EndFraction = blank
Cancel the mile and kilometer units. Divide 8 by 1.61, then multiply by 1000.
Cancel the mile and kilometer units. Multiply 8 by 1.61, then multiply by 1000.
Cancel the mile and kilometer units. Multiply 8 by 1.61, then divide by 1000.
Cancel the mile and kilometer units. Multiply 8 by 1000, then divide by 1.61.

Answer 1

Let's break down the conversion step by step:

1. **Set up the conversion formula** using the given values:
\[
\text{Convert miles to kilometers} \Rightarrow 8 \text{ miles} \times \frac{1.61 \text{ kilometers}}{1 \text{ mile}} \times \frac{1000 \text{ meters}}{1 \text{ kilometer}}
\]

2. **Cancel units**:
- The "miles" in the numerator (8 miles) and the "miles" in the denominator (1 mile) cancel out.
- The "kilometers" in the numerator (1.61 kilometers) and the "kilometers" in the denominator (1 kilometer) cancel out.

3. **Perform the calculation**:
After cancelling, you are left with:
\[
8 \times 1.61 \times 1000
\]

4. **Calculate**:
- First, multiply \(8\) by \(1.61\):
\[
8 \times 1.61 = 12.88
\]
- Then, multiply by \(1000\):
\[
12.88 \times 1000 = 12880 \text{ meters}
\]

So, the correct choice from your options is:
**Cancel the mile and kilometer units. Multiply 8 by 1.61, then multiply by 1000.**