What steps should be taken to complete the conversion?

Question

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.