Step 1: Understand the Units
Before we begin converting, it’s important to understand the units we are working with. “cm” is an abbreviation for centimeters, which is a unit of length commonly used in the metric system. “in” is an abbreviation for inches, which is a unit of length commonly used in the imperial system.
Step 2: Recall the Conversion Factor
In order to convert from centimeters to inches, we need to use a conversion factor. The conversion factor for this conversion is 1 inch = 2.54 centimeters. This means that for every 1 inch, there are 2.54 centimeters.
Step 3: Set up a Conversion Equation
To convert from centimeters to inches, we will set up a simple conversion equation. The equation we will use is: length in inches = (length in centimeters) x (conversion factor).
Step 4: Substitute the Given Value
Now we can substitute the given value of 12 cm into our equation: length in inches = (12 cm) x (conversion factor).
Step 5: Simplify the Equation
Next, we need to simplify the equation by multiplying 12 cm by the conversion factor. This will give us the length in inches. Using the conversion factor of 1 inch = 2.54 centimeters, the equation becomes: length in inches = (12 cm) x (1 inch / 2.54 cm).
Step 6: Perform the Calculation
To calculate the length in inches, we will multiply 12 cm by 1 inch and divide the answer by 2.54 cm. This can also be written as a fraction: (12 cm / 1) x (1 inch / 2.54 cm). The cm unit cancels out, leaving us with the final equation: length in inches = 12 / 2.54 inches.
Step 7: Simplify the Answer
To get the final answer, we simply divide 12 by 2.54, which gives us 4.72 inches. This means that 12 cm is equivalent to 4.72 inches.
Step 8: Check Your Answer
It’s always a good idea to double check your answer by using a calculator or manually converting 4.72 inches back to centimeters using the conversion factor. This will ensure that you have converted the units correctly.
Step 9: Round the Answer (optional)
In some cases, you may need to round the final answer depending on the level of precision required. If rounding is necessary, make sure to follow the appropriate rounding rules.
Congratulations, you have successfully converted 12 cm to inches using a conversion factor. Remember to follow these steps whenever you need to convert units of length.