First, it’s important to understand the conversion factors between these two units. 1 cm is equal to 0.3937 inches. This means that to convert from cm to inches, we need to multiply the cm value by 0.3937.
Step 1: Write down the given length value in centimeters (cm). In this case, the given value is 83 cm.
Step 2: Set up a proportion with the given value on one side and an unknown value on the other side. In this case, we want to convert to inches, so the unknown value will be represented by “x”: 83 cm = x inches
Step 3: Using the conversion factor, write the equivalent value for 1 cm in inches. This can be written as 1 cm = 0.3937 inches.
Step 4: Substitute the equivalent values into the proportion: 83 cm = x inches becomes 83 cm = 0.3937 inches.
Step 5: Cross-multiply to solve for the unknown value: 83 cm = 0.3937 inches becomes (83)(0.3937) = x.
Step 6: Use a calculator to find the product of (83)(0.3937), which is equal to 32.6771.
Step 7: The final step is to round the value to the appropriate number of significant figures. In this case, since the given value had two significant figures, we should round the calculated value to two significant figures as well. Therefore, the final answer is 32 inches.
Step 8: Write the final answer with the appropriate unit label. In this case, the final answer is 32 inches, so the conversion is complete. The final conversion is 83 cm = 32 inches.