The prefix centi means "hundred"; that is: there are 100 centimeters in each meter. Use this basic information to make conversions between measurements.

## Steps

### Part 1 of 3: Mathematical Formula

#### from centimeters to meters

#### Step 1. Read the problem

Try to find the value expressed in centimeters (cm) and see if the question asks you to convert or change it to its equivalent in meters (m).

### Example: A field is 872, 5 cm long. Determine the length of the same area in meters

#### Step 2. Divide by 100

There are exactly 100 cm in each meter; therefore, you can divide the value to determine the number of meters in each centimeter.

- The "centimeter" is a unit of measurement smaller than the "meter". Every time you have to convert a smaller metric unit into a larger one, divide it to find the value.
- Example: 872, 5 cm / 100 = 8.725 m
### The problem field is 8, 725 m long

#### from meters to centimeters

#### Step 1. Read the problem

Try to find the value expressed in meters (m) and see if the question asks, directly or indirectly, that you convert it to its equivalent in centimeters (cm).

### Example: a room is 2.3 m wide. What is its width in centimeters?

#### Step 2. Multiply by 100

Each 1 meter corresponds to 100 centimeters; ie: you can multiply the value to determine the number of centimeters in the meter.

- The "meter" is a unit of measurement larger than the "centimeter". Every time you have to convert a larger metric unit to a smaller one, multiply that value.
- Example: 2, 3 m * 100 = 230 cm
### The problem room is 230 cm wide

### Part 2 of 3: Shifting the Decimal Point

#### from centimeters to meters

#### Step 1. Examine the problem

See if it informs the measurement in centimeters (cm) and if it asks, directly or indirectly, that you convert the value in meters (m).

### Example: A kitchen counter is 344, 25 centimeters long. What is its value in meters?

#### Step 2. Shift the decimal two decimal places to the left

Since there are exactly 100 centimeters in each meter, the cm value will be larger by two decimal places. To convert the number to meters, simply shift the comma by these two spaces to the left.

- Shifting the decimal point to the number on the left will generate a smaller value. Each house represents a value of 10; therefore, by changing it twice, the final value will decrease by a factorial of 100 (after all, 10 * 10 = 100).
- Example: when shifting the decimal point of "344, 25" two places to the left, the value becomes "3, 4425"; therefore, the balcony is 3.4423 m long.

#### from meters to centimeters

#### Step 1. Examine the problem

Try to find the value expressed in meters (m) and see if the question asks you to convert it to the equivalent number in centimeters (cm).

### Example: a store sold a roll of fabric that was 2.3 meters long. Convert the value to centimeters

#### Step 2. Shift the decimal point two decimal places to the right

Since there are exactly 100 centimeters in each meter, the value in m will be smaller by two decimal places. So, to convert the number to cm, just shift the comma by these two spaces to the right.

- Shifting the decimal point two places to the right will make the number larger. Each house represents a factorial of 10; that way, by taking it two places to the right, the final product will have a factorial of 100 (after all, 10 * 10 = 100).
- Example: when moving the decimal point of "2, 3" two places to the right, the value becomes "230"; therefore, the fabric is 230 cm long.

### Part 3 of 3: More examples

#### Step 1. Convert 7890 centimeters to meters

In this problem, you need to convert cm to m; therefore, you'll either have to divide the original value by 100 or shift the comma two decimal places to the left.

- Math Conversion:
### 7,890 cm / 100 = 78.9 m

- Decimal place shift
### 7890, 0 cm => shift the comma two places to the left => 78, 9 m

#### Step 2. Convert 82, 5 centimeters to meters

In this problem, you need to convert centimeters to meters. To do this, divide the original value by 100 or shift the comma two places to the left.

- Math Conversion:
### 82, 5 cm / 100 = 0.825 m

- Decimal place shift
### 82, 5 cm => shift the comma two places to the left => 0,825 m

#### Step 3. Convert 16 meters to centimeters

In this problem, you need to convert meters to centimeters. Multiply the original value by 100 or shift the decimal place two places to the right.

- Math Conversion:
### 16 m / 100 = 1,600 cm

- Decimal place shift
### 16, 0 m => shift the decimal point in two places to the right => 1600 cm

#### Step 4. Convert 230, 4 meters to centimeters

In this problem, you need to convert m to cm; therefore, you'll either have to multiply the original value by 100 or shift the decimal by two decimal places to the right.

- Math Conversion:
### 230, 4 m / 100 = 23,040 cm

- Decimal place shift
### 230, 4 m => shift the decimal point in two places to the right => 23.040 cm