Is 536 cm greater or less then 53.6 DM
The Correct Answer and Explanation is:
Correct Answer:
536 cm is equal to 53.6 decimeters (dm).
Explanation
To determine whether 536 centimeters (cm) is greater than, less than, or equal to 53.6 decimeters (dm), we must first convert the units so they are the same. This allows us to compare them directly.
Let’s convert decimeters to centimeters, since the centimeter is a smaller and more commonly used unit.
Step 1: Know the conversion factor
1 decimeter (dm) = 10 centimeters (cm)
Step 2: Convert 53.6 dm to cm
53.6 dm × 10 = 536 cm
So, 53.6 dm = 536 cm
Now, compare:
- First quantity: 536 cm
- Second quantity (after conversion): 536 cm
Since both quantities are now in the same unit and have the same numerical value, we can clearly see that:
536 cm is equal to 53.6 dm.
Why This Happens:
Unit conversion is a fundamental mathematical skill that helps us compare different measurements. Units like centimeters, decimeters, and meters are all part of the metric system, which is based on powers of ten. This makes conversions simple and consistent. Understanding these relationships helps avoid confusion in science, construction, engineering, and everyday life.
In this case, we used the fact that:
- 1 dm = 10 cm
So multiplying the number of decimeters by 10 gives the equivalent length in centimeters.
If we had mistakenly compared 536 cm directly to 53.6 without converting, it would appear that 536 is much larger—but 53.6 dm is a larger unit, so that number needed scaling.
In conclusion, after proper unit conversion, we can say with certainty:
✅ 536 cm = 53.6 dm
🔁 They are equal, not greater or less.
