Ordering Length Measurements: 0.2m, 35mm, 15cm, and 0.05dm Comparison

Question

Order from smallest to largest:

0.2 0.2 m, 35 35 mm, 15 15 cm, 0.05 0.05 dm

Step-by-Step Solution

To order the given lengths from smallest to largest, we need to convert each measurement into meters:

  • 35 mm 35 \text{ mm} : Convert using 35 mm×0.001=0.035 m 35 \text{ mm} \times 0.001 = 0.035 \text{ m} .
  • 15 cm 15 \text{ cm} : Convert using 15 cm×0.01=0.15 m 15 \text{ cm} \times 0.01 = 0.15 \text{ m} .
  • 0.05 dm 0.05 \text{ dm} : Convert using 0.05 dm×0.1=0.005 m 0.05 \text{ dm} \times 0.1 = 0.005 \text{ m} .
  • 0.2 m 0.2 \text{ m} is already in meters.

After conversion, we have:

  • 0.035 m 0.035 \text{ m} from 35 mm
  • 0.15 m 0.15 \text{ m} from 15 cm
  • 0.005 m 0.005 \text{ m} from 0.05 dm
  • 0.2 m 0.2 \text{ m} .

Next, arrange these values from smallest to largest:

  • 0.005 m 0.005 \text{ m} from 0.05 dm 0.05 \text{ dm}
  • 0.035 m 0.035 \text{ m} from 35 mm 35 \text{ mm}
  • 0.15 m 0.15 \text{ m} from 15 cm 15 \text{ cm}
  • 0.2 m 0.2 \text{ m} from 0.2 m 0.2 \text{ m} .

The ordering from smallest to largest is 0.05 dm 0.05 \text{ dm} , 35 mm 35 \text{ mm} , 15 cm 15 \text{ cm} , 0.2 m 0.2 \text{ m} .

Therefore, the correct order is choice 1:

0.05 0.05 dm
35 35 mm
15 15 cm
0.2 0.2 m

Answer

0.05 0.05 dm
35 35 mm
15 15 cm
0.2 0.2 m

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