Order Length Units: Converting 45mm, 0.3dm, 5cm, and 0.007m

Unit Conversion with Metric Length Measurements

Order from smallest to largest:

45 45 mm, 0.3 0.3 dm, 5 5 cm, 0.007 0.007 m

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Order from smallest to largest:

45 45 mm, 0.3 0.3 dm, 5 5 cm, 0.007 0.007 m

2

Step-by-step solution

To compare the measurements, convert all units to meters:

  • 45 45 mm = 0.045 0.045 m.

  • 0.3 0.3 dm = 0.03 0.03 m.

  • 5 5 cm = 0.05 0.05 m.

  • The smallest is 0.007 0.007 m itself.

Order from smallest to largest:

0.007 0.007 m
0.03 0.03 m
0.045 0.045 m
0.05 0.05 m

3

Final Answer

0.007 0.007 m
0.3 0.3 dm
45 45 mm
5 5 cm

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert all measurements to the same unit before comparing
  • Technique: Convert 45 mm to meters: 45 ÷ 1000 = 0.045 m
  • Check: All values in meters: 0.007, 0.03, 0.045, 0.05 in order ✓

Common Mistakes

Avoid these frequent errors
  • Comparing measurements in different units without conversion
    Don't compare 45 mm directly to 0.3 dm = wrong order! Different units make direct comparison impossible. Always convert all measurements to the same unit first, then compare the decimal values.

Practice Quiz

Test your knowledge with interactive questions

Convert to meters:
\( 40 \) cm

FAQ

Everything you need to know about this question

Why can't I just compare the numbers as they are?

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Because they're in different units! Just like you can't compare 45 pennies to 3 dollars without converting. Always convert to the same unit first.

Which unit should I convert everything to?

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Choose any unit you're comfortable with! Meters work well because all metric units convert easily (÷ 1000 for mm, ÷ 100 for cm, ÷ 10 for dm).

How do I remember the metric conversion factors?

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Remember: Kilo-Hecto-Deka-METER-Deci-Centi-Milli. Each step is ×10 or ÷10. So mm to m is ÷1000, cm to m is ÷100, dm to m is ÷10.

What if I get the conversions wrong?

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Double-check using unit logic: smaller units should have bigger numbers. 45 mm = 0.045 m makes sense because millimeters are tiny!

Can I convert to centimeters instead of meters?

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Absolutely! Convert all to cm: 0.007 0.007 m = 0.7 cm, 0.3 0.3 dm = 3 cm, 5 5 cm = 5 cm, 45 45 mm = 4.5 cm. Same order!

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