Question

Объясните,почему 1 дм² = 100 см² = 10 000 мм² почему 1 км² = 1 000 000 м²​

Answer 1

Ответ:В квадратных сантиметрах,метрах,км,дм увеличевается в 100 раз и поэтому больше

Пошаговое объяснение:

Answer 2

Conversion between Square Meters, Square Centimeters, and Square Millimeters

The conversion between square meters (m²), square centimeters (cm²), and square millimeters (mm²) is based on the metric system, which uses powers of 10 for easy conversion between units.

1 square meter (m²) equals 10,000 square centimeters (cm²) and 1,000,000 square millimeters (mm²). This means that if you have 1 square meter, you can divide it into 10,000 equal parts to get square centimeters, or divide it into 1,000,000 equal parts to get square millimeters.

The reason for this conversion is that each unit represents a different level of precision. Square meters are commonly used for larger areas, such as measuring the size of a room or a piece of land. Square centimeters are used for smaller areas, such as measuring the size of an object or a sheet of paper. Square millimeters are used for even smaller areas, such as measuring the size of electronic components or tiny objects.

The conversion factor between these units is derived from the fact that there are 100 centimeters in a meter and 10 millimeters in a centimeter. By multiplying and dividing these values, we can convert between square meters, square centimeters, and square millimeters.

Example Conversion:

Let's take an example to illustrate the conversion:

Question: How many square centimeters are there in 2 square meters?

Answer: To convert square meters to square centimeters, we multiply the number of square meters by the conversion factor of 10,000.

2 square meters * 10,000 square centimeters/square meter = 20,000 square centimeters

Therefore, there are 20,000 square centimeters in 2 square meters.

Example Conversion:

Now, let's look at another example:

Question: How many square millimeters are there in 3 square centimeters?

Answer: To convert square centimeters to square millimeters, we multiply the number of square centimeters by the conversion factor of 1,000.

3 square centimeters * 1,000 square millimeters/square centimeter = 3,000 square millimeters

Therefore, there are 3,000 square millimeters in 3 square centimeters.

Conclusion:

In summary, the conversion between square meters, square centimeters, and square millimeters is based on the metric system and the powers of 10. 1 square meter equals 10,000 square centimeters and 1,000,000 square millimeters. This conversion allows for easy and precise measurement of areas at different scales.