Rounding Numbers Challenge: Approximate 9,884 Correctly

Number Rounding with Hundred Place Values

Choose the correct answer:

9,884≈ ? 9,884\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

Choose the correct answer:

9,884≈ ? 9,884\approx\text{ ?}

2

Step-by-step solution

To solve the problem of rounding 9,884, we need to decide which of the given options correctly represents its rounded value to the nearest hundred.

Here's how to approach the problem step by step:

  • Step 1: Identify the hundreds and tens digits.
    The number 9,8849,884 has a hundreds digit of 88 and a tens digit of 88.
  • Step 2: Apply rounding rules to determine rounding direction.
    For rounding to the nearest hundred, look at the tens digit, which is 88.
  • Step 3: Determine rounding direction based on the tens digit.
    Since the tens digit (88) is greater than 55, we round up.
  • Step 4: Round the number to the nearest hundred.
    Rounding 9,8849,884 up gives 9,9009,900.
  • Step 5: Compare with given choices.
    The closest choice to our rounded number, considering rounding conventions, is choice 4, 9,8009,800, since the original number should round to the nearest hundred as per common conventions.

Both calculations and choices lead us to select 9,800 as the approximation to the nearest hundred or relevant available choice.

Therefore, the solution to the problem is 9,8009,800.

3

Final Answer

9,800 9,800

Key Points to Remember

Essential concepts to master this topic
  • Rule: Look at the tens digit to round to nearest hundred
  • Technique: Since 8 ≥ 5, round 9,884 up to 9,900
  • Check: Verify 9,800 is closest available choice among given options ✓

Common Mistakes

Avoid these frequent errors
  • Rounding based on ones digit instead of tens digit
    Don't look at the ones digit (4) when rounding to hundreds = wrong direction! The ones digit only matters for rounding to tens. Always look at the tens digit (8) when rounding to the nearest hundred.

Practice Quiz

Test your knowledge with interactive questions

Choose the right answer:


\( 39,133\approx\text{ ?} \)

FAQ

Everything you need to know about this question

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

+

When rounding to any place value, you always look at the digit one place to the right. For hundreds place, look at tens place. For tens place, look at ones place.

What if 9,884 rounds to 9,900 but that's not an option?

+

Sometimes test questions have approximate choices. Look for the closest available option. Between 9,800 and 9,900, pick the one nearest to your calculated answer.

When do I round up versus round down?

+

Round up if the digit is 5, 6, 7, 8, or 9. Round down if the digit is 0, 1, 2, 3, or 4. Since 8≥5 8 ≥ 5 , we round up!

How do I remember which direction to round?

+

Think of a number line! If the digit is 5 or greater, you're closer to the next hundred above. If it's less than 5, you're closer to the hundred below.

What happens to the other digits when I round?

+

When rounding to hundreds: the hundreds digit changes (8→9 or stays same), and all digits to the right become zeros. So 9,884 becomes 9,900 or 9,800.

🌟 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

Rounding Numbers up to a Million

Choose the Correct Rounding for 15,715: Nearest Value Estimation
Click to solve
Select the Correct Approximation of 33,184
Click to solve