Question

units of length
customary system units\tmetric system units
1 inch\t2.54 centimeters
1 foot\t0.3048 meters
1 mile\t1.61 kilometers
kayla measures a distance of 50 inches. she needs to find the equivalent number of meters. which conversion factors should she use? check all that apply.
□ \\(\frac{2.54\\,\text{cm}}{1\\,\text{in}}\\)
□ \\(\frac{1\\,\text{in}}{2.54\\,\text{cm}}\\)
□ \\(\frac{1\\,\text{meter}}{100\\,\text{cm}}\\)
□ \\(\frac{100\\,\text{cm}}{1\\,\text{meter}}\\)

Explanation:

Step1: Convert inches to centimeters

We use the conversion factor that relates inches to centimeters to cancel out the inch unit.
$50 \text{ in} \times \frac{2.54 \text{ cm}}{1 \text{ in}}$

Step2: Convert centimeters to meters

We use the conversion factor that relates centimeters to meters to cancel out the centimeter unit.
$(50 \times 2.54 \text{ cm}) \times \frac{1 \text{ meter}}{100 \text{ cm}}$

Answer:

$\frac{2.54 \text{ cm}}{1 \text{ in}}$, $\frac{1 \text{ meter}}{100 \text{ cm}}$