How to Convert Centimeters to Millimeters
To convert a length measurement from centimeters to millimeters, multiply the length value by the conversion factor. Since one centimeter is equal to 10 millimeters, you can use this formula:
The length in millimeters is equal to the centimeters multiplied by 10.
Using the formula: millimeters = centimeters × 10
millimeters = 10 cm × 10 = 100 mm
Therefore, 10 centimeters equals 100 millimeters.
How Many Millimeters Are in a Centimeter?
There are 10 millimeters in one centimeter.
What Is a Centimeter?
The centimetre (symbol: cm) is a metric unit of length equal to one hundredth (10−2) of a metre. The prefix “centi” denotes a factor of 0.01 in the International System of Units. The centimetre is one of the most commonly used length units in everyday life worldwide. It is the standard unit for measuring body dimensions (waist, chest, hip measurements), clothing sizes, and small objects. In many countries, human height is expressed in centimetres (e.g., 175 cm) rather than feet and inches. In education, centimetre rulers are the most common measuring tool in schools. Graph paper is often ruled in centimetres and millimetres. The centimetre is also the base length unit in the CGS (centimetre–gram–second) system of units, which was widely used in physics before the adoption of SI. Common reference points: a standard pencil is about 19 cm long, a credit card is about 8.5 cm wide, a US quarter coin is about 2.4 cm in diameter, and a typical smartphone screen is about 14–17 cm diagonal.
One centimeter is equal to:
- 0.01 metres (m)
- 10 millimetres (mm)
- 10,000 micrometres (μm)
- 0.393701 inches (in)
- 0.0328084 feet (ft)
- 0.0109361 yards (yd)
What Is a Millimeter?
The millimetre (symbol: mm) is a metric unit of length equal to one thousandth (10−3) of a metre. The prefix “milli” denotes a factor of 0.001 in the International System of Units. The millimetre is the standard unit of precision in engineering, manufacturing, and construction worldwide. Engineering drawings and technical specifications typically dimension parts in millimetres. The tolerances of machined parts are often specified to the nearest 0.01 mm or even 0.001 mm. In everyday use, rainfall is measured in millimetres (e.g., “25 mm of rain fell today”). Paper thickness, wire gauges, film sizes (35 mm), bullet calibres, and the thickness of materials like plywood and sheet metal are commonly expressed in millimetres. Common reference points: a standard paper clip wire is about 1 mm in diameter, a credit card is about 0.76 mm thick, the lead of a mechanical pencil is typically 0.5 or 0.7 mm, and a grain of sand ranges from about 0.1 to 2 mm.
One millimeter is equal to:
- 0.001 metres (m)
- 0.1 centimetres (cm)
- 1,000 micrometres (μm)
- 106 nanometres (nm)
- 0.0393701 inches (in)
- 0.00328084 feet (ft)
Understanding Length Units
Length is one of the seven fundamental physical quantities in the International System of Units. It measures the distance between two points in space. Length is perhaps the most intuitive physical quantity, as we encounter measurements of distance and size constantly in everyday life.
Two major systems of length measurement are in common use worldwide: the metric system (used by most countries) and the US customary/Imperial system (used primarily in the United States, and partly in the United Kingdom).
The Metric System
The metric system is based on the metre, with larger and smaller units derived using decimal prefixes. This makes conversions within the metric system straightforward — simply move the decimal point:
- Kilometre (km): 1,000 metres — used for geographic distances and travel
- Metre (m): The base unit — used for room dimensions, human height, and general measurements
- Centimetre (cm): 0.01 metres — used for body measurements, small objects, and clothing sizes
- Millimetre (mm): 0.001 metres — used for engineering precision, rainfall, and small components
- Micrometre (μm): 10−6 metres — used for cell biology, thin films, and surface roughness
- Nanometre (nm): 10−9 metres — used for atoms, molecules, light wavelengths, and semiconductor features
The US Customary / Imperial System
The US customary system uses units based on historical definitions that were later standardised in terms of the metre:
- Mile (mi): 5,280 feet = 1,609.344 m — used for road distances in the US and UK
- Yard (yd): 3 feet = 0.9144 m — used in sports (football, golf) and fabric
- Foot (ft): 12 inches = 0.3048 m — used for height, altitude, and building dimensions
- Inch (in): 2.54 cm exactly — used for screen sizes, paper, and precision measurements
Key Conversion Relationships
The most important cross-system conversions to remember are:
- 1 inch = 2.54 cm (exact, by definition since 1959)
- 1 foot = 30.48 cm (exact)
- 1 yard = 0.9144 m (exact)
- 1 mile = 1.609344 km (exact)
All US customary length units are legally defined in terms of the metre, making all conversion factors between the two systems exact values with no rounding error.
Tips for Length Conversions
- Metric conversions only involve factors of 10. Each prefix step (nm → μm → mm → cm → m → km) changes by a specific power of 10.
- Inches to centimetres: Multiply by 2.54. This is the most commonly needed cross-system conversion.
- Feet to metres: Multiply by 0.3048, or approximately 0.3. For a quick estimate, multiply feet by 3 and move the decimal one place left.
- Miles to kilometres: Multiply by 1.609. A handy approximation: add 60% to the mile value (10 miles ≈ 16 km).
- Yards to metres: Multiply by 0.9144. Since 1 yard ≈ 0.914 m, yards and metres are roughly similar in size.
- Quick mental math: 1 metre ≈ 3 feet 3 inches. 1 km ≈ 0.6 miles. 100 km ≈ 62 miles.
- Interesting relationship: The Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89...) closely approximates the mile-to-kilometre conversion. For example, 5 miles ≈ 8 km, 8 miles ≈ 13 km, 13 miles ≈ 21 km.
- For precision work: All inch/foot/yard/mile to metric conversions are exact values, so there is no rounding error when converting between systems.
Centimeters to Millimeters Conversion Table
The following table shows conversions from centimeters to millimeters.
| Centimeters | Millimeters (mm) |
|---|---|
| 1 cm | 10 |
| 2 cm | 20 |
| 3 cm | 30 |
| 4 cm | 40 |
| 5 cm | 50 |
| 6 cm | 60 |
| 7 cm | 70 |
| 8 cm | 80 |
| 9 cm | 90 |
| 10 cm | 100 |
| 11 cm | 110 |
| 12 cm | 120 |
| 13 cm | 130 |
| 14 cm | 140 |
| 15 cm | 150 |
| 16 cm | 160 |
| 17 cm | 170 |
| 18 cm | 180 |
| 19 cm | 190 |
| 20 cm | 200 |
| 21 cm | 210 |
| 22 cm | 220 |
| 23 cm | 230 |
| 24 cm | 240 |
| 25 cm | 250 |
| 26 cm | 260 |
| 27 cm | 270 |
| 28 cm | 280 |
| 29 cm | 290 |
| 30 cm | 300 |
| 31 cm | 310 |
| 32 cm | 320 |
| 33 cm | 330 |
| 34 cm | 340 |
| 35 cm | 350 |
| 36 cm | 360 |
| 37 cm | 370 |
| 38 cm | 380 |
| 39 cm | 390 |
| 40 cm | 400 |