Answer :
To order these measurements in increasing size, we need to convert them to the same unit for easy comparison. We'll convert everything to meters since some of the measurements are already in meters.
1. Converting 215 mm to meters:
- There are 1,000 millimeters (mm) in a meter (m), so 215 mm is [tex]\( \frac{215}{1000} = 0.215 \)[/tex] meters.
2. Converting 9 cm to meters:
- There are 100 centimeters (cm) in a meter (m), so 9 cm is [tex]\( \frac{9}{100} = 0.09 \)[/tex] meters.
3. 2.3 meters is already in meters, so it stays the same.
4. 0.125 meters is already in meters, so it stays the same.
Now we have the following measurements all in meters:
- 215 mm = 0.215 m
- 9 cm = 0.09 m
- 2.3 m = 2.3 m
- 0.125 m = 0.125 m
Next, we order them from smallest to largest:
- 0.09 m (9 cm)
- 0.125 m (0.125 m)
- 0.215 m (215 mm)
- 2.3 m (2.3 m)
Therefore, the order of measurements from smallest to largest is:
- 9 cm
- 0.125 m
- 215 mm
- 2.3 m
The correct ordering is: [tex]\( 9 \, \text{cm} < 0.125 \, \text{m} < 215 \, \text{mm} < 2.3 \, \text{m} \)[/tex].
1. Converting 215 mm to meters:
- There are 1,000 millimeters (mm) in a meter (m), so 215 mm is [tex]\( \frac{215}{1000} = 0.215 \)[/tex] meters.
2. Converting 9 cm to meters:
- There are 100 centimeters (cm) in a meter (m), so 9 cm is [tex]\( \frac{9}{100} = 0.09 \)[/tex] meters.
3. 2.3 meters is already in meters, so it stays the same.
4. 0.125 meters is already in meters, so it stays the same.
Now we have the following measurements all in meters:
- 215 mm = 0.215 m
- 9 cm = 0.09 m
- 2.3 m = 2.3 m
- 0.125 m = 0.125 m
Next, we order them from smallest to largest:
- 0.09 m (9 cm)
- 0.125 m (0.125 m)
- 0.215 m (215 mm)
- 2.3 m (2.3 m)
Therefore, the order of measurements from smallest to largest is:
- 9 cm
- 0.125 m
- 215 mm
- 2.3 m
The correct ordering is: [tex]\( 9 \, \text{cm} < 0.125 \, \text{m} < 215 \, \text{mm} < 2.3 \, \text{m} \)[/tex].
