Final answer:
To convert 9.68 inches to meters, multiply by the conversion factor from inches to centimeters and then divide by the conversion factor from centimeters to meters.
Step-by-step explanation:
To convert inches to meters, we can use the conversion factor 1 inch = 2.54 cm, and the conversion factor 1 m = 39.36 inches. Since we want the answer in meters, we need to convert 9.68 inches to centimeters first. We can do this by multiplying 9.68 inches by the conversion factor 2.54 cm/inch:
9.68 inches * 2.54 cm/inch = 24.5632 cm
Now, we can convert centimeters to meters by dividing 24.5632 cm by the conversion factor 39.36 inches/meter:
24.5632 cm * (1 m/39.36 inches) = 0.623591883 m
Therefore, 9.68 inches is approximately 0.624 meters (to three significant figures).