State how much larger or smaller the first unit is than the second. By how much?
Square decimeter, square kilometer
The second unit (square kilometer) is much larger than the first unit (square decimeter) by a factor of 10^10, or 10,000,000,000.
To determine how much larger or smaller the first unit (square decimeter) is than the second unit (square kilometer), we need to compare their sizes and calculate the difference.
1 square kilometer is equal to 1,000,000 square meters. Since there are 10,000 square meters in a square decimeter (1 square meter = 100 square decimeters), we can calculate the size of 1 square decimeter in square meters.
1 square decimeter = 0.0001 square meters
Now, let's find the difference between the two units:
1 square kilometer - 0.0001 square meters = 1,000,000 - 0.0001 = 999,999.9999 square meters
Therefore, the first unit (square decimeter) is approximately 999,999.9999 square meters smaller than the second unit (square kilometer).
To determine how much larger or smaller the first unit is than the second, we need to convert both units to a common unit and compare the values.
In this case, we have the units square decimeter and square kilometer.
To convert from square decimeter to square kilometer, we need to remember that 1 square kilometer is equal to 1,000,000 square meters. In turn, 1 square meter is equal to 10,000 square decimeters. Therefore, 1 square kilometer is equal to 10,000 * 10,000 = 100,000,000 square decimeters.
Now, let's say the first unit is X square decimeters and the second unit is Y square kilometers.
To compare the first unit to the second unit, we need to divide the value of the first unit by the conversion factor to square kilometers. Therefore, the first unit in square kilometers is X / 100,000,000 square kilometers.
Finally, we can find how much larger or smaller the first unit is by comparing it to the second unit. The difference is given by |(X / 100,000,000) - Y|, where || denotes the absolute value.