Both centimeters and millimeters are derived from the "meter," a measurement of distance used in the metric system. The prefix centi- means "one-hundredth," so there are 100 centimeters in every meter. The prefix milli- means "one-thousandth," so there are 1000 millimeters in every meter. Millimeters and centimeters are only separated by one tens place, which means that there are ultimately 10 millimeters for every centimeter.
Steps
Centimeters to Millimeters
-
Examine the problem. It must describe a measurement of length in centimeters (cm) and instruct you to find the equivalent value in millimeters (mm).
- Example: The width of a particular table measures 58.75 centimeters. What is the width of the same table when taken in millimeters?
-
Multiply the centimeter value by 10. There are 10 millimeters in every 1 centimeter. This means that you will need to find the number of millimeters per centimeter by multiplying the centimeter measurement by 10. [1] X Research source
- The "millimeter" is a smaller unit than the "centimeter," even though both are derived from the basic "meter." When you convert any larger metric unit to a smaller one, you must multiply the original value.
- Example:
58.75 cm * 10 = 587.5 mm
- The width of the table in the problem is 587.5 millimeters.
Millimeters to Centimeters
-
Examine the problem. Read through the problem and make sure that it contains a measurement of length provided in millimeters (mm). It must also instruct you to convert that measurement to its equivalent in centimeters (cm).
- Example: The height of a certain door is 1780.9 millimeters. Find the height of the same door when described in centimeters.
-
Divide the millimeter value by 10. There are 10 millimeters for every 1 centimeter, so you'll need to divide the number of millimeters by 10 to find its equivalent centimeter value. [2] X Research source
- The "centimeter" is larger than the "millimeter," and whenever you need to convert a smaller metric unit to a larger one, you must divide the original value.
- Example:
1780.9 mm / 10 = 178.09 cm
- The height of the door in this problem is 178.09 centimeters.
Centimeters to Millimeters
-
Look at the problem. Verify that the problem provides a measurement of length in centimeters (cm). It should also indicate that the measurement must be converted into its equivalent number of millimeters (mm).
- Example: The length of a certain television screen is 32.4 centimeters. Find the length of the same screen in millimeters.
-
Move the decimal one place to the right. There are 10 millimeters in every 1 centimeter, so the centimeter value will be smaller by one decimal place. You should be able to convert centimeters into millimeters by shifting the decimal point one place to the right. [3] X Research source
- Moving the decimal point of a number to the right increases its value, and every place holder shift equals a value of 10. As such, shifting the decimal to the right once will increase the resulting value by a factor of 10.
- Example: Moving the decimal point in "32.4" to the right once would result in a value of "324.0," so the length of the screen in this problem equals 324.0 millimeters.
Millimeters to Centimeters
-
Look at the problem. Look over the problem and verify that it provides a measurement of length described in millimeters (mm). It should also instruct you to convert that value into its equivalent in centimeters (cm).
- Example: The height of a particular chair measures 958.3 millimeters. What is the height of the same chair in centimeters?
-
Move the decimal one place to the left. There are 10 millimeters for every 1 centimeter, so the millimeter value will be larger by one decimal place. As such, you can convert millimeters into centimeters by shifting the decimal point one place to the left. [4] X Research source
- Moving the decimal point to the left makes the resulting value smaller, and each decimal place holder represents a factor of 10. This means that shifting the decimal one place to the left will decrease the resulting value by a factor of 10.
- Example: Moving the decimal point in "958.3" to the left once would result in a value of "95.83," so the height of the chair in this problem measures 95.83 centimeters.
-
Convert 184 centimeters to millimeters. In this problem, you need to change the centimeter value into its equivalent in millimeters. Do so by either multiplying the centimeter value by 10 or by shifting the decimal one place to the right. [5] X Research source
- Mathematical Conversion:
- 184 cm * 10 = 1840 mm
- Decimal Shift:
- 184.0 cm => shift the decimal to the right once => 1840 mm
- Mathematical Conversion:
-
Convert 90.5 millimeters to centimeters. This problem asks you to find the equivalent centimeter amount for a value provided in millimeters. You can do so by dividing the original millimeter value by 10. Alternatively, you can shift the decimal point in the original millimeter value one place to the left.
- Mathematical Conversion:
- 90.5 mm / 10 = 9.05 cm
- Decimal Shift:
- 90.5 mm => shift the decimal to the left once => 9.05 cm
- Mathematical Conversion:
-
Convert 72.6 centimeters to millimeters. For this problem, you'll need to find the equivalent millimeter value of a number currently described in centimeters. Accomplish this by either multiplying the centimeter value by 10 or by shifting its decimal point one place to the right.
- Mathematical Conversion:
- 72.6 cm * 10 = 726 mm
- Decimal Shift:
- 72.6 cm => shift the decimal to the right once => 726 mm
- Mathematical Conversion:
-
Convert 315 millimeters to centimeters. This problem instructs you to change the value of a number provided in millimeters to its equivalent in centimeters. Divide the original millimeter value by 10 to accomplish this task, or simply shift the decimal point one place to the left.
- Mathematical Conversion:
- 315 mm / 10 = 31.5 cm
- Decimal Shift:
- 315.0 mm => shift the decimal to the left once => 31.5 cm
- Mathematical Conversion:
Community Q&A
-
QuestionHow do you convert from mm to cm to inches?This answer was written by one of our trained team of researchers who validated it for accuracy and comprehensiveness.wikiHow Staff EditorStaff AnswerFirst, divide your millimeters by 10 to convert to centimeters. Then, divide the result by 2.54 to get inches.
-
QuestionHow do you convert from cm to km?This answer was written by one of our trained team of researchers who validated it for accuracy and comprehensiveness.wikiHow Staff EditorStaff AnswerTo convert from centimeters to kilometers, divide the length in centimeters by 100,000.
-
QuestionWhat is .5 cm in mm?This answer was written by one of our trained team of researchers who validated it for accuracy and comprehensiveness.wikiHow Staff EditorStaff AnswerMultiply .5 by 10 to get the length in millimeters. .5 x 10 = 5, so the answer is 5 millimeters.
Video
Tips
References
- ↑ http://www.conversion-metric.org/length/centimeter-to-millimeter
- ↑ http://www.metric-conversions.org/length/millimeters-to-centimeters.htm
- ↑ https://www.purplemath.com/modules/metric.htm
- ↑ https://www.purplemath.com/modules/metric.htm
- ↑ https://www.sciencemadesimple.com/centimeters-to-millimeters.html
About This Article
To convert centimeters to millimeters, all you have to do is multiply the number of centimeters by 10. For example, if you wanted to convert 5 centimeters to millimeters, you would just multiply 5 by 10 and get 50. Therefore, 5 centimeters is equal to 50 millimeters. This works because there are 10 millimeters in every 1 centimeter. You can also convert centimeters to millimeters by moving the decimal one place to the right. For example, if you wanted to convert 35.2 centimeters to millimeters, you would just move the decimal one place to the right so it's now after the 2. Therefore, 35.2 centimeters is equal to 352 millimeters. To learn how to convert millimeters to centimeters, keep scrolling!