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cm to mm Converter - Centimeter to Millimeter

Centimeter (cm) to Millimeter (mm)

Direct answer

1 cm = 10 mm

mm = cm × 10

Converter

Conversion formula

mm = cm × 10

cm = mm × 0.1

Example: 10 cm = 10 × 10 = 100 mm.

Common conversion table

cmmm
1 cm10 mm
2 cm20 mm
5 cm50 mm
10 cm100 mm
20 cm200 mm
50 cm500 mm
100 cm1,000 mm
1,000 cm10,000 mm

Conversion derivation

Express both cm and mm in the same base unit m (meter), then cancel the shared base unit.

  1. 1

    Rewrite cm in the base unit

  2. 2

    Rewrite mm in the base unit

  3. 3

    Forward conversion

  4. 4

    Reverse conversion

AI explanation for this conversion

This pre-generated explanation is schema-checked. Numeric results still come from the page formula and calculator.

Pre-generated

Conversion from Centimeters (cm) to Millimeters (mm)

This conversion factor holds because both centimeters and millimeters are metric units derived from the meter. The factor of 10 comes from expressing each unit in meters and then comparing their values.

Definition

A centimeter (cm) is one hundredth of a meter, and a millimeter (mm) is one thousandth of a meter. Therefore, one centimeter contains ten millimeters.

Principle

The conversion is based on expressing both units in terms of their common base unit, the meter, and then forming a ratio to find the direct factor between them.

Assumptions

  • The definitions of centimeter and millimeter are exactly as given (1 cm = 0.01 m, 1 mm = 0.001 m).
  • The units are being used in their standard metric sense without any scaling prefixes.

Cautions

  • This factor applies only for direct length conversion between these two specific metric units.
  • Precision requirements of your calculation should be considered when applying the factor, as rounding may be necessary.

FAQ

How many mm are in 1 cm?

1 cm = 10 mm.

How many mm are in 10 cm?

10 cm = 100 mm.

How many mm are in 100 cm?

100 cm = 1,000 mm.

What is the formula to convert cm to mm?

Use mm = cm × 10.

How many cm are in 1 mm?

1 mm = 0.1 cm.

What should I check when converting cm to mm?

Use the conversion factor and round the result to the precision required by your calculation.

Related conversions

Category converter: Length