Distance Calculation: Converting 1000m Walking + 1km Running

Unit Conversion with Distance Addition

Darrel exercises every day by walking 1000 meters and running 1 km.

How many meters does he cover each day?

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Step-by-step written solution

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1

Understand the problem

Darrel exercises every day by walking 1000 meters and running 1 km.

How many meters does he cover each day?

2

Step-by-step solution

Let's solve the problem step-by-step:

Darrel walks a distance of 10001000 meters every day as part of his exercise.

Darrel also runs a distance of 11 kilometer daily. To find this distance in meters, we use the conversion factor:
1kilometer=1000meters 1\, \text{kilometer} = 1000\, \text{meters}

Thus, Darrel runs 10001000 meters.

To find the total distance Darrel covers each day, add the distance he walks to the distance he runs:

Total distance = Walking distance + Running distance

Total distance = 1000+10001000 + 1000

Total distance = 20002000 meters

Therefore, Darrel covers a total of 20002000 meters each day.

3

Final Answer

2000

Key Points to Remember

Essential concepts to master this topic
  • Conversion Rule: 1 kilometer equals 1000 meters exactly
  • Technique: Convert 1 km to 1000 m, then add 1000 + 1000 = 2000
  • Check: Total distance makes sense: 2000 m = 2 km of exercise ✓

Common Mistakes

Avoid these frequent errors
  • Adding kilometers and meters directly
    Don't add 1000 meters + 1 kilometer = 1001! This mixes different units and gives meaningless results. Always convert everything to the same unit first (either all meters or all kilometers), then add.

Practice Quiz

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Convert to meters:
\( 40 \) cm

FAQ

Everything you need to know about this question

Why can't I just add 1000 + 1 to get 1001?

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Because you're mixing different units! It's like adding 1000 pennies + 1 dollar. You need to convert everything to the same unit first: either all meters or all kilometers.

How do I remember the kilometer to meter conversion?

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

Should I convert to kilometers instead of meters?

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Either way works! You could convert 1000 m to 1 km, then add 1 + 1 = 2 km. Just make sure your final answer matches what the question asks for.

What if the question used different units like feet or miles?

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The same principle applies: convert everything to the same unit first, then add. Always look up the correct conversion factor and double-check your work.

Is there a shortcut for this type of problem?

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Yes! When you see mixed units, immediately identify what unit the answer should be in, convert everything to that unit, then perform your calculation.

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