Compare Metric Units: 5 Meters vs 0.1 Kilometers Length Analysis

Q: Do I always need to convert kilometers to meters?

Not always! You can convert either direction. You could also convert 5 meters to kilometers: 5 ÷ 1000 = 0.005 km. Then compare 0.005 km

Q: How do I remember the conversion factor?

Think of it this way: kilo means 1000, so 1 kilometer = 1000 meters. Just like 1 kilogram = 1000 grams!

Q: What if I get confused about which direction to convert?

Pick the unit that's easier to work with! Meters are usually simpler than decimals with kilometers. Convert everything to the simpler unit first.

Q: Why is 0.1 km so much bigger than 5 meters?

Because 0.1 km = 100 meters! It's like comparing 5 steps to 100 steps - the difference is huge when you convert properly.

Q: Can I use this method for other metric units?

Absolutely! The same principle works for all metric conversions: grams/kilograms, liters/milliliters, etc. Always convert to matching units first.

Unit Conversion with Metric Measurements

Which is larger?

5 meters ⬜ 0.1 km

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Understand the problem

Which is larger?

5 meters ⬜ 0.1 km

Step-by-step solution

To determine which measurement is larger, we need to convert the units so they are comparable.

Step 1: Convert kilometers to meters
We know that 1 kilometer is equivalent to 1000 meters. Hence, to convert 0.1 kilometers to meters, we perform the following calculation:
$0.1 \text{ km} \times 1000 \text{ meters/km} = 100 \text{ meters}$

Step 2: Compare the measurements
We are now comparing 5 meters with 100 meters, as both are in the same unit of measurement.

5 meters
100 meters

Since 5 meters $<$ 100 meters, the comparison shows that the measurement of 5 meters is smaller than 0.1 kilometers.

Thus, the correct answer is: $<$ .

Final Answer

$<$

Key Points to Remember

Essential concepts to master this topic

Conversion Rule: 1 kilometer equals 1000 meters for all comparisons
Technique: Convert 0.1 km × 1000 = 100 meters first
Check: Compare same units: 5 meters < 100 meters ✓

Common Mistakes

Avoid these frequent errors

Comparing different units without converting
Don't compare 5 meters directly to 0.1 km = wrong comparison! You're mixing units like comparing apples to oranges. Always convert to the same unit before comparing measurements.

Practice Quiz

Test your knowledge with interactive questions

Convert to meters:
$$ 40 $$ cm

FAQ

Everything you need to know about this question

Do I always need to convert kilometers to meters?

Not always! You can convert either direction. You could also convert 5 meters to kilometers: 5 ÷ 1000 = 0.005 km. Then compare 0.005 km < 0.1 km.

How do I remember the conversion factor?

Think of it this way: kilo means 1000, so 1 kilometer = 1000 meters. Just like 1 kilogram = 1000 grams!

What if I get confused about which direction to convert?

Pick the unit that's easier to work with! Meters are usually simpler than decimals with kilometers. Convert everything to the simpler unit first.

Why is 0.1 km so much bigger than 5 meters?

Because 0.1 km = 100 meters! It's like comparing 5 steps to 100 steps - the difference is huge when you convert properly.

Can I use this method for other metric units?

Absolutely! The same principle works for all metric conversions: grams/kilograms, liters/milliliters, etc. Always convert to matching units first.

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