Step 1: Understand the Units of Length

Before we begin the conversion process, it is important to understand the units of length we will be working with. Centimeters (cm) and inches (in) are both units of length, commonly used to measure small distances such as the length of an object or the height of a person.

Step 2: Determine the Conversion Ratio

To convert from centimeters to inches, we need to know the conversion ratio between the two units. This ratio is 2.54, which means that there are 2.54 centimeters in one inch.

Step 3: Write Down the Given Measurement

In this case, we are given the measurement of 10 centimeters (10 cm). Write this down on a piece of paper or in your calculator.

Step 4: Set Up the Conversion Equation

To convert from centimeters to inches, we will use the conversion ratio mentioned in Step 2. The equation for converting cm to in is: inches = centimeters / 2.54.

Step 5: Substitute the Given Measurement

Substitute the given measurement of 10 cm into the equation: inches = 10 cm / 2.54

Step 6: Solve the Equation

Using a calculator, divide 10 by 2.54 to get the solution of 3.937 inches. Round this number to the nearest hundredth to get the final conversion of 3.94 inches.

Step 7: Write the Final Answer

The final answer is 3.94 inches. Therefore, 10 cm is equal to 3.94 inches.

Step 8: Double Check Your Work

To ensure the accuracy of your conversion, you can double check your work by converting 3.94 inches back to centimeters. The conversion ratio from inches to centimeters is 0.3937, which means that 1 inch is equal to 0.3937 centimeters.

To convert 3.94 inches to centimeters, we will use the equation: centimeters = inches / 0.3937. Substituting the value of 3.94 inches, we get: centimeters = 3.94 in / 0.3937 = 10 cm. This confirms that our conversion is correct.

Congratulations, you have successfully converted 10 cm to inches using the conversion ratio and steps provided above.