State how much larger or smaller the first unit is than the second.
Square decimeter, square kilometer
The second unit, square kilometer, is larger than the first unit, square decimeter.
To determine how much larger or smaller the first unit is than the second, we need to compare their sizes.
1 square decimeter (dm²) is equal to 0.0001 square meters (m²).
1 square kilometer (km²) is equal to 1,000,000 square meters (m²).
To find out the difference in size, we can divide the size of the first unit by the size of the second unit:
Size of the first unit / Size of the second unit
For this case, we have:
0.0001 m² / 1,000,000 m²
Simplifying this expression, we get:
0.0000000001
Therefore, the first unit (square decimeter) is 0.0000000001 times smaller than the second unit (square kilometer).
To find out how much larger or smaller one unit is compared to another, we need to calculate the ratio between the two units. In this case, we're comparing square decimeters and square kilometers.
First, let's convert both units to a common base unit, such as square meters, so that we can make an accurate comparison.
1 square decimeter is equal to 0.01 square meters because the prefix "deci-" means 1/10th or 0.1 and the base unit for area, square meter, is the measurement unit for decimeters.
1 square kilometer is equal to 1,000,000 square meters, where the prefix "kilo-" means 1,000.
Now, let's calculate how many square decimeters are in 1 square kilometer.
1 square kilometer is equal to (1,000,000 square meters) * (100 square decimeters / 1 square meter) = 100,000,000 square decimeters.
To determine how much larger or smaller the first unit is than the second, we can compare the two values.
The first unit, square decimeter, is 100,000,000 times smaller than the second unit, square kilometer. In other words, the second unit, square kilometer, is 100,000,000 times larger than the first unit, square decimeter.
Therefore, the first unit (square decimeter) is much smaller compared to the second unit (square kilometer).