Rounding 67,437 to the Nearest Thousand: Number Approximation Practice

Rounding Rules with Five-Digit Numbers

Round to the nearest thousand:

67,437 ? 67,437\approx\text{ ?}

❤️ 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
1

Understand the problem

Round to the nearest thousand:

67,437 ? 67,437\approx\text{ ?}

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the hundreds digit of the number 67,437 67,437 .
  • Step 2: Apply the rounding rule for the nearest thousand.
  • Step 3: Determine the rounded number and compare it with the given choices.

Now, let's work through each step:
Step 1: The hundreds digit of 67,437 67,437 is 4.
Step 2: Since the hundreds digit is less than 5, we round down. According to the rules of rounding to the nearest thousand, the digits following the thousands place become zero.
Step 3: Therefore, rounding 67,437 67,437 to the nearest thousand results in 67,000 67,000 .

The solution to the problem is 67,000 67,000 , which corresponds to answer choice 1.

3

Final Answer

67,000 67,000

Key Points to Remember

Essential concepts to master this topic
  • Rule: Look at the hundreds digit to round to nearest thousand
  • Technique: If hundreds digit is <5, round down: 67,437 → 67,000
  • Check: Distance from 67,000 is 437, from 68,000 is 563 → closer to 67,000 ✓

Common Mistakes

Avoid these frequent errors
  • Looking at the wrong digit for rounding
    Don't look at the tens or ones digit when rounding to thousands = wrong answer every time! The hundreds digit (4 in 67,437) determines the direction. Always identify the hundreds digit first, then apply the rounding rule.

Practice Quiz

Test your knowledge with interactive questions

Choose the right answer:

\( 12,346\approx\text{ ?} \)

FAQ

Everything you need to know about this question

Why do I look at the hundreds digit when rounding to thousands?

+

The hundreds digit tells you which thousand is closer! If it's 0-4, you're closer to the lower thousand. If it's 5-9, you're closer to the higher thousand.

What happens to all the digits after the thousands place?

+

They all become zero! When rounding to thousands, everything in the hundreds, tens, and ones places gets replaced with zeros.

Is 67,437 closer to 67,000 or 68,000?

+

It's closer to 67,000! The distance is only 437, while the distance to 68,000 would be 563. Always choose the closer value.

What if the hundreds digit was exactly 5?

+

If the hundreds digit is exactly 5, you round up to the next thousand. For example, 67,500 would round up to 68,000.

How can I double-check my rounding?

+

Calculate the distance from your number to both possible answers. 67,437 67,437 is 437 away from 67,000 and 563 away from 68,000, so 67,000 is correct!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural numbers up to a million 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

More Questions

Click on any question to see the complete solution with step-by-step explanations