Step 1: Understand the Units of Measurement

Before we begin the conversion process, it is important to understand the units of measurement being used. In this case, we are working with length. The two units being used are centimeters (cm) and inches (in).

Step 2: Know the Conversion Factor

To convert from centimeters to inches, we need to know the conversion factor. This is the numerical value that expresses the relationship between the two units. In this case, the conversion factor is 1 inch = 2.54 centimeters.

Step 3: Set Up the Conversion Formula

To convert from centimeters to inches, we will use the formula: inches = centimeters ÷ conversion factor. So, the general formula is: in = cm ÷ 2.54.

Step 4: Substitute the Given Value

Now, let’s substitute the given value of 11 cm into the formula. We have: in = 11 ÷ 2.54.

Step 5: Calculate the Conversion

Using a calculator, we get the answer: in = 4.33 inches. This means that 11 centimeters is equivalent to 4.33 inches.

Step 6: Round the Answer

Inches can be a decimal value, but it is common to round the answer to the nearest hundredth. So, the final answer is: 11 cm = 4.33 inches.

Step 7: Check Your Work

To double-check our work, we can use another conversion formula to convert the answer back to centimeters. Using the formula: cm = inches x conversion factor, we get: cm = 4.33 x 2.54 = 10.97. As the calculated value is close to the given value of 11 cm, we can be confident that our calculation is correct.

Step 8: Finalize the Answer

Finally, we can write our answer in an ordered pair format, where the first number is the given value and the second number is the converted value. So, the final answer is: 11 cm = (4.33 inches).

In summary, to convert 11 cm to inches, we followed the steps: (1) understanding the units, (2) knowing the conversion factor, (3) setting up the conversion formula, (4) substituting the given value, (5) calculating the conversion, (6) rounding the answer, (7) checking our work, and (8) finalizing the answer by writing it in an ordered pair format.