Compare Measurements: 4 Meters vs 200 Centimeters Inequality

Q: Why can't I just compare 4 to 200 since 200 is bigger?

Because they're in different units! It's like comparing 4 dollars to 200 pennies. You need to convert to the same unit first. 4 meters = 400 centimeters, which is actually bigger than 200 centimeters.

Q: Should I always convert meters to centimeters?

Not always! You can convert either way. Convert centimeters to meters (200 cm = 2 m) or meters to centimeters (4 m = 400 cm). Choose whichever feels easier!

Q: How do I remember that 1 meter = 100 centimeters?

Think of it this way: centi means "one hundredth," so there are 100 centimeters in 1 meter. Like how there are 100 cents in 1 dollar!

Q: What if the question uses different units like kilometers?

Same process! Learn the key conversions: 1 km = 1,000 m1 m = 100 cm1 cm = 10 mm Always convert to matching units before comparing.

Q: Is there a shortcut for these comparison problems?

Yes! When converting from larger to smaller units (meters to centimeters), multiply. When going smaller to larger (centimeters to meters), divide. Then compare the converted values.

Unit Conversion with Metric Length Comparison

Which is larger?

4 mts. ⬜ 200 cm

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Which is larger?

4 mts. ⬜ 200 cm

Step-by-step solution

To solve this problem, we need to compare 4 meters with 200 centimeters. We can simplify this comparison by converting 4 meters into centimeters. This involves the following steps:

Step 1: Convert meters to centimeters using the conversion factor: 1 meter = 100 centimeters.
Step 2: Calculate the number of centimeters in 4 meters.
$4 \text{ meters} = 4 \times 100 \text{ centimeters} = 400 \text{ centimeters}$
Step 3: Compare the values:
400 centimeters versus 200 centimeters.

By comparing 400 centimeters to 200 centimeters, it is clear that 400 centimeters is greater than 200 centimeters. Hence, 4 meters is greater than 200 centimeters.

Therefore, the solution to the problem is $>$ .

Final Answer

$>$

Key Points to Remember

Essential concepts to master this topic

Conversion Rule: Always convert to same unit before comparing measurements
Technique: 4 meters × 100 = 400 centimeters to match 200 cm
Check: 400 cm > 200 cm confirms 4 m > 200 cm ✓

Common Mistakes

Avoid these frequent errors

Comparing different units directly without conversion
Don't compare 4 meters to 200 centimeters directly = wrong comparison! You're mixing different units like comparing apples to oranges. Always convert both measurements to the same unit first before determining which is larger.

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 4 to 200 since 200 is bigger?

Because they're in different units! It's like comparing 4 dollars to 200 pennies. You need to convert to the same unit first. 4 meters = 400 centimeters, which is actually bigger than 200 centimeters.

Should I always convert meters to centimeters?

Not always! You can convert either way. Convert centimeters to meters (200 cm = 2 m) or meters to centimeters (4 m = 400 cm). Choose whichever feels easier!

How do I remember that 1 meter = 100 centimeters?

Think of it this way: centi means "one hundredth," so there are 100 centimeters in 1 meter. Like how there are 100 cents in 1 dollar!

What if the question uses different units like kilometers?

Same process! Learn the key conversions:

1 km = 1,000 m
1 m = 100 cm
1 cm = 10 mm

Always convert to matching units before comparing.

Is there a shortcut for these comparison problems?

Yes! When converting from larger to smaller units (meters to centimeters), multiply. When going smaller to larger (centimeters to meters), divide. Then compare the converted values.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Advanced questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime