Step 1: Understand the units of length

Before we begin the conversion process, it is essential to understand the units of length involved. In this case, 10cm is in centimeters, and we need to convert it to inches.

Step 2: Know the conversion factor

The conversion factor is the number used to convert from one unit to another. In this case, we will use the conversion factor of 1 inch = 2.54 centimeters.

Step 3: Write down the given value

Start by writing down the value you want to convert, which is 10cm.

Step 4: Set up the conversion equation

To convert from centimeters to inches, we will use the following equation:

Inches = Centimeters x Conversion factor

Step 5: Substitute the values in the equation

Using the values we have, the equation now becomes:

Inches = 10cm x 2.54

Step 6: Perform the multiplication

Multiply 10cm by 2.54, which gives us:

Inches = 25.4cm

Step 7: Round off the answer

The answer, 25.4 inches, may have many decimal places, which can make it difficult to read. Therefore, round off the answer to the desired level of accuracy. In this case, we will round off to one decimal place, which gives us:

Inches ≈ 25.4cm ≈ 25.4 inches

Step 8: Write the final answer

The final answer is:

10cm = 25.4 inches

Step 9: Check your answer

Lastly, it is essential to always check your answer to ensure that it makes sense. In this case, since we are converting from a smaller unit (centimeters) to a larger unit (inches), the answer should be larger than the given value, which is the case.

Congratulations! You have successfully converted 10cm to inches using the conversion factor method.