Convert 125 Meters to Kilometers: Basic Unit Conversion Problem

Unit Conversion with Fractional Representation

125m=?km 125m=?km

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1

Understand the problem

125m=?km 125m=?km

2

Step-by-step solution

To convert meters to kilometers, use the conversion factor: 1 km=1000 m 1 \text{ km} = 1000 \text{ m} . Thus, 1 m=11000 km 1 \text{ m} = \frac{1}{1000} \text{ km} .

  • Step 1: Identify the given measurement as 125 m 125 \text{ m} .
  • Step 2: Convert meters to kilometers by multiplying by 11000 \frac{1}{1000} km/m.

Calculation:
125 m×11000 km/m=0.125 km 125 \text{ m} \times \frac{1}{1000} \text{ km/m} = 0.125 \text{ km} .

The problem provides multiple-choice answers, and the correct answer is expressed as a fraction, so express 0.125 0.125 as a fraction:

0.125=1251000=18 0.125 = \frac{125}{1000} = \frac{1}{8} after simplification.

Therefore, the solution to the problem is 18 \frac{1}{8} km.

3

Final Answer

18 \frac{1}{8}

Key Points to Remember

Essential concepts to master this topic
  • Conversion Factor: 1 kilometer equals 1000 meters exactly
  • Technique: Multiply 125m × 11000 \frac{1}{1000} km/m = 0.125km
  • Check: Convert back: 18 \frac{1}{8} km × 1000 = 125m ✓

Common Mistakes

Avoid these frequent errors
  • Multiplying by 1000 instead of dividing
    Don't multiply 125 × 1000 = 125,000km! This makes the unit bigger when converting to a larger unit. Always divide by 1000 (or multiply by 11000 \frac{1}{1000} ) when converting meters to kilometers.

Practice Quiz

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\( 291cm^2=?m^2 \)

FAQ

Everything you need to know about this question

Why do I divide by 1000 when going from meters to kilometers?

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Because kilometers are larger units than meters! Since 1 km = 1000 m, you need fewer kilometers to represent the same distance. Think of it like trading 1000 pennies for 1 dollar.

How do I convert 0.125 to the fraction 18 \frac{1}{8} ?

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Write 0.125 as 1251000 \frac{125}{1000} , then simplify! Divide both numerator and denominator by their greatest common factor (125): 125÷1251000÷125=18 \frac{125÷125}{1000÷125} = \frac{1}{8}

Which answer choices are obviously wrong?

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12500km is way too big - that's like saying a football field is longer than the distance across a country! 1.25km means the answer got bigger, which doesn't make sense when converting to larger units.

Is there a quick way to remember the conversion?

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Yes! Remember "kilo" means 1000. So 1 kilometer = 1000 meters. When going from small to large units, you always get a smaller number. When going from large to small units, you get a bigger number.

Why is the answer expressed as a fraction instead of a decimal?

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The multiple choice answers include fractions, so the problem wants you to recognize that 0.125 = 18 \frac{1}{8} . Both forms are correct, but matching the answer format is important!

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