Arrange the following units of length in the increasing order of their magnitude

To arrange units of length in increasing order, we first need to understand the relationship between different units. Length can be measured in various units, such as millimeters, centimeters, meters, kilometers, inches, feet, and miles. Each unit has a specific value relative to others, which allows us to compare them effectively.

Understanding the Units

Here’s a brief overview of some common units of length:

• Millimeter (mm): 1 mm is one-thousandth of a meter.
• Centimeter (cm): 1 cm is one-hundredth of a meter (10 mm).
• Meter (m): The base unit of length in the metric system.
• Kilometer (km): 1 km is equal to 1,000 meters.
• Inch (in): 1 inch is equal to 2.54 centimeters.
• Foot (ft): 1 foot is equal to 12 inches or 30.48 centimeters.
• Mile (mi): 1 mile is equal to 5,280 feet or approximately 1,609 meters.

Converting Units for Comparison

To arrange these units in increasing order, we can convert them to a common unit, such as meters. Here’s how the conversions look:

• 1 mm = 0.001 m
• 1 cm = 0.01 m
• 1 m = 1 m
• 1 km = 1,000 m
• 1 in = 0.0254 m
• 1 ft = 0.3048 m
• 1 mi = 1,609 m

Arranging the Units

Now that we have all the units converted to meters, we can easily arrange them in increasing order:

• Millimeter (mm) - 0.001 m
• Centimeter (cm) - 0.01 m
• Inch (in) - 0.0254 m
• Foot (ft) - 0.3048 m
• Meter (m) - 1 m
• Kilometer (km) - 1,000 m
• Mile (mi) - 1,609 m

Final Order

Putting it all together, the units of length arranged in increasing order of magnitude are:

1. Millimeter (mm)
2. Centimeter (cm)
3. Inch (in)
4. Foot (ft)
5. Meter (m)
6. Kilometer (km)
7. Mile (mi)

This arrangement helps us visualize the scale of different lengths, making it easier to understand and compare them in practical situations. If you have any specific units you want to compare or any further questions, feel free to ask!