Converting 5000 Centimeters: Finding Equivalent Measurements

Unit Conversion with Metric Length

Which of the following values equals:
5000 5000 cm

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Which of the following values equals:
5000 5000 cm

2

Step-by-step solution

To solve the problem, let's follow these steps:

  • Step 1: Convert centimeters to meters.
  • Step 2: Identify the correct answer from the given choices.

Now, let's work through each step:

Step 1: We know that 1 meter=100 cm1 \text{ meter} = 100 \text{ cm}. Therefore, to convert 50005000 cm to meters, we divide 50005000 by 100100:

5000100=50 \frac{5000}{100} = 50 meters.

Step 2: Among the given choices, we are looking for 5050 meters, which matches Choice 4\text{Choice 4}.

Therefore, the solution to the problem is 50 50 m.

3

Final Answer

50 50 m

Key Points to Remember

Essential concepts to master this topic
  • Base Relationship: 1 meter equals exactly 100 centimeters
  • Division Method: Convert 5000 ÷ 100 = 50 meters
  • Check: Verify 50 m × 100 = 5000 cm ✓

Common Mistakes

Avoid these frequent errors
  • Converting centimeters to kilometers without considering meters
    Don't jump straight from cm to km = 5000 ÷ 100,000 = 0.05 km wrong choice! This skips the most logical conversion step. Always convert cm to meters first: 5000 ÷ 100 = 50 meters.

Practice Quiz

Test your knowledge with interactive questions

Convert to meters:
\( 40 \) cm

FAQ

Everything you need to know about this question

Why do I divide by 100 to convert cm to meters?

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Since 1 meter = 100 centimeters, you need 100 cm to make 1 meter. So to find how many meters are in your centimeters, you divide by 100.

How can I remember metric conversions easily?

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Remember the pattern: each step up gets 10 times bigger. So mm → cm (×10), cm → m (×100), m → km (×1000). Going down means dividing by these same numbers!

What if I need to convert to kilometers instead?

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First convert to meters: 5000÷100=50 5000 \div 100 = 50 m. Then convert meters to km: 50÷1000=0.05 50 \div 1000 = 0.05 km. Two-step process!

How do I check if my conversion is correct?

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Work backwards! If 5000 cm = 50 m, then 50 m should equal 5000 cm. Check: 50×100=5000 50 \times 100 = 5000

Why isn't 5 meters the right answer?

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That would mean 5×100=500 5 \times 100 = 500 cm, not 5000 cm! You're missing a zero. Always double-check your division by multiplying back.

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