536 cm greater than or less than 53.6 dm
The Correct Answer and Explanation is:
To compare 536 cm (centimeters) with 53.6 dm (decimeters), we need to convert one of them so that both measurements are in the same unit.
- Conversion of centimeters to decimeters:
- We know that 1 decimeter (dm) = 10 centimeters (cm).
- Therefore, to convert 536 cm to decimeters, we divide by 10: 536 cm=53610=53.6 dm536 \, \text{cm} = \frac{536}{10} = 53.6 \, \text{dm}536cm=10536=53.6dm
- Comparison:
Now that both values are expressed in decimeters, we can directly compare:- 536 cm = 53.6 dm
- 53.6 dm = 53.6 dm
Since both measurements are exactly equal, 536 cm is equal to 53.6 dm.
Explanation:
The reason we can say they are equal is because of the unit conversion factor: 1 dm is equal to 10 cm. When we convert 536 cm to decimeters, we get exactly 53.6 dm, which shows the two measurements are the same length. Thus, the comparison is a straightforward equality.
