Conversion of units:
To understand how many square centimeters make a square meter, we need to convert the units and analyze their relationship.

Understanding the units:
- Square centimeter (cm²): This is a unit of area commonly used for measuring small areas or objects. It represents the area of a square with sides measuring 1 centimeter.
- Square meter (m²): This is a unit of area commonly used for measuring larger areas or spaces. It represents the area of a square with sides measuring 1 meter.

Conversion factor:
To convert square meters to square centimeters, we need to use a conversion factor.

The conversion factor is based on the relationship between the two units. Since 1 meter is equal to 100 centimeters, 1 square meter is equal to (100 cm) x (100 cm) = 10,000 square centimeters.

Therefore, the conversion factor is 10,000 cm²/1 m².

Calculating the conversion:
To calculate the number of square centimeters in a square meter, we multiply the given value (1 m²) by the conversion factor:

1 m² x 10,000 cm²/1 m² = 10,000 cm²

Therefore, there are 10,000 square centimeters in a square meter.

Answer:
The correct answer is option C) 10,000.

Summary:
In summary, there are 10,000 square centimeters in a square meter. This conversion is based on the fact that 1 meter is equal to 100 centimeters, and therefore, 1 square meter is equal to 10,000 square centimeters.

1 m is 100cm
so - 1sq.cm - 100 × 100
10000