Question

Put the following lengths in ascending order, 900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km.

Answer 1

Answer: 8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm

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Explanation:

To be able to compare these various measurements, all of them must be the same unit. Let's convert each measurement to meters. If the measurement is already in meters, then we'll move onto the next measurement.

Here are some useful conversion factors

• 1 m = 100 cm
• 1 m = 1000 mm
• 1 km = 1000 m

With those conversion factors in mind, we get the following conversions:

• 900 cm = (900 cm)*(1 m/100 cm) = (900/100) m = 9 m
• 8.9 m = already in meters, moving on
• 895 cm = 8.95 meters; divide by 100 to convert from cm to meters as shown above
• 9.1 m = already in meters, moving on
• 12000 mm = (12000 mm)*(1 m/1000 mm) = (12000/1000) m = 12 m
• 0.0092 km = (0.0092 km)*(1000 m/1 km) = (0.0092*1000) m = 9.2 m

Here is the summary of the conversions:

• 900 cm = 9 m
• 8.9 m = 8.9 m
• 895 cm = 8.95 m
• 9.1 m = 9.1 m
• 12000 mm = 12 m
• 0.0092 km = 9.2 m

The original list of

{900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km}

becomes this equivalent list

{9 m, 8.9 m, 8.95 m, 9.1 m, 12 m, 9.2 m}

in that exact order.

After converting everything to meters, we can then sort the values from smallest to largest. Doing so gets us this sorted list of

{8.9 m, 8.95 m, 9 m, 9.1 m, 9.2 m, 12 m}

Then you convert back each measurement to its original form

{8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm}

which is the final answer.

Answer 2

8.9m 895cm 900cm 9.1m 0.0092km 12000mm

8.9m = 890cm = 8900mm = 0.0089km
895cm = 8.95m = 8950mm = 0.00895km
900cm = 9m = 9000mm = 0.009km
0.0092km = 9.2m = 920cm = 9200m
9.1m = 910cm = 9100mm = 0.0091km
12000mm = 12m = 1200cm = 0.012km