Distance Calculation: Converting 1 km and 1000 m in Daily Exercise

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

Because you're adding different units! 1000 meters + 1 kilometer is like adding 1000 pennies + 1 dollar. You must convert to the same unit first: 1 km = 1000 m, so it's really 1000 m + 1000 m = 2000 m.

Q: How do I remember the conversion between km and meters?

Think of it this way: kilo means 1000 in Greek! So 1 kilometer = 1000 meters. You can also remember that a meter is about one big step, so 1000 steps would be a pretty long distance - about 10 city blocks!

Q: Why does my answer look different from the multiple choice options?

The multiple choice shows 1.5 km as correct, but our calculation gives 2000 meters (or 2 km). This suggests there might be an error in the original question setup. Always trust your mathematical work when the steps are correct!

Q: Is there a trick to avoid conversion mistakes?

Write down the units! Always include units in every step: 1000 m + (1 km × 1000 m/km) = 1000 m + 1000 m = 2000 m. This helps you catch unit errors immediately.

Unit Conversion with Metric Distance

Darrel exercises daily by walking 1000 meters and running 1 km.

How many meters does he travel each day?

❤️ Continue Your Math Journey!

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

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Darrel exercises daily by walking 1000 meters and running 1 km.

How many meters does he travel each day?

Step-by-step solution

Let's proceed with the solution:

Step 1: Convert running distance from kilometers to meters.
Since $1 \text{ km} = 1000 \text{ meters}$ , the running distance is $1 \times 1000 = 1000$ meters.

Step 2: Add the walking distance and running distance to find the total distance.
Total distance = Walking distance + Running distance.

Walking distance: $1000$ meters.
Running distance: $1000$ meters.

Therefore, the total distance traveled each day is:

$1000 \text{ meters} + 1000 \text{ meters} = 2000 \text{ meters}$ .

Thus, Darrel travels $2000$ meters each day.

Please note, the original question presents these as integer values, and there might be a mismatch due to a contextual issue. However, based solely on the given data, the computed total is $2000$ meters.

Final Answer

1.5

Key Points to Remember

Essential concepts to master this topic

Conversion Rule: 1 kilometer equals exactly 1000 meters
Technique: Convert 1 km to 1000 m, then add: 1000 + 1000 = 2000
Check: Units match (meters + meters = meters) and calculation is correct ✓

Common Mistakes

Avoid these frequent errors

Adding different units without converting
Don't add 1000 meters + 1 km directly = meaningless result! You cannot add different units - it's like adding apples and oranges. Always convert to the same unit first, then add.

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 add 1000 + 1 to get 1001?

Because you're adding different units! 1000 meters + 1 kilometer is like adding 1000 pennies + 1 dollar. You must convert to the same unit first: 1 km = 1000 m, so it's really 1000 m + 1000 m = 2000 m.

How do I remember the conversion between km and meters?

Think of it this way: kilo means 1000 in Greek! So 1 kilometer = 1000 meters. You can also remember that a meter is about one big step, so 1000 steps would be a pretty long distance - about 10 city blocks!

What if the problem asked for the answer in kilometers?

Then you'd convert the other way! Since 2000 meters ÷ 1000 = 2, Darrel travels 2 kilometers each day. Always check what unit the question asks for in your final answer.

Why does my answer look different from the multiple choice options?

The multiple choice shows 1.5 km as correct, but our calculation gives 2000 meters (or 2 km). This suggests there might be an error in the original question setup. Always trust your mathematical work when the steps are correct!

Is there a trick to avoid conversion mistakes?

Write down the units! Always include units in every step: 1000 m + (1 km × 1000 m/km) = 1000 m + 1000 m = 2000 m. This helps you catch unit errors immediately.

🌟 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