To convert from centimeters to inches, follow these steps:
Step 1: Write down the given length in centimeters, which is 9 cm.
Step 2: Use the conversion factor of 1 inch = 2.54 cm. This means that for every 2.54 centimeters, there is 1 inch.
Step 3: Set up a proportion using the given length in centimeters and the conversion factor. Since we want to convert from centimeters to inches, the proportion would be 9 cm/1 = x in/2.54 cm, where x is the unknown length in inches.
Step 4: Solve for x by cross-multiplying. This will give us the equivalent length in inches. In this case, we have 9 cm/1 = x in/2.54 cm. Cross-multiplying gives us (9)(2.54) = 1x, which simplifies to 22.86 = x.
Step 5: So, 9 cm is equivalent to 22.86 inches.
Step 6: Round off the answer to the desired number of significant figures. Since the given length only has one significant figure, the converted length should also have one significant figure. Therefore, 22.86 inches can be rounded to 23 inches.
So, the final result is 9 cm is equal to 23 inches.