Determine the Approximate Value of 45,724: A Rounding Quiz

Q: Which digit do I look at when rounding to the nearest hundred?

Look at the tens place digit (one place to the right of hundreds). In 45,724, look at the 2 in the tens place, not the 7 in the hundreds place.

Q: What happens to digits after the hundreds place?

All digits to the right of the hundreds place become zeros. So 45,724 becomes 45,700 - the 24 becomes 00.

Q: Why isn't 45,720 or 45,730 correct?

Those are rounding to the nearest ten, not hundred! When rounding to hundreds, you can only end in 00 - like 45,700 or 45,800.

Q: How do I remember the rounding rule?

Use "5 or more, raise the floor" - if the digit is 5 or higher, round up. If it's 4 or lower, round down. Since 2

Q: What if the number was exactly in the middle?

If 45,724 was 45,750, the tens digit would be 5. Since 5 or more means round up, 45,750 would round to 45,800.

Rounding with Hundreds Place Analysis

Choose the correct answer:

$45,724\approx$

❤️ 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

Choose the correct answer:

$45,724\approx$

Step-by-step solution

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

Step 1: Identify the relevant digits
Step 2: Apply the rounding rule for hundreds
Step 3: Select the matching choice from provided options

Now, let's work through each step:

Step 1: Consider the number $45,724$ . The digit in the hundreds place is 7, and the digit in the tens place is 2.

Step 2: Applying the rule for rounding to the nearest hundred:
The tens digit is 2. Since 2 is less than 5, we round down. Therefore, the hundreds digit remains unchanged.

Step 3: The number 45,724 rounded to the nearest hundred becomes 45,700.

Therefore, the correct choice is $45,700$ , which corresponds to choice 4.

Final Answer

$45,700$

Key Points to Remember

Essential concepts to master this topic

Rule: Look at tens digit to round to nearest hundred
Technique: Since 2 < 5 in 45,724, round down to 45,700
Check: Verify 45,724 is closer to 45,700 than 45,800 ✓

Common Mistakes

Avoid these frequent errors

Looking at wrong digit when rounding
Don't look at the hundreds digit (7) to decide rounding = keeps same number incorrectly! The hundreds digit IS what changes. Always look at the digit to the RIGHT of your target place value.

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

Which digit do I look at when rounding to the nearest hundred?

Look at the tens place digit (one place to the right of hundreds). In 45,724, look at the 2 in the tens place, not the 7 in the hundreds place.

What happens to digits after the hundreds place?

All digits to the right of the hundreds place become zeros. So 45,724 becomes 45,700 - the 24 becomes 00.

Why isn't 45,720 or 45,730 correct?

Those are rounding to the nearest ten, not hundred! When rounding to hundreds, you can only end in 00 - like 45,700 or 45,800.

How do I remember the rounding rule?

Use "5 or more, raise the floor" - if the digit is 5 or higher, round up. If it's 4 or lower, round down. Since 2 < 5, we round down.

What if the number was exactly in the middle?

If 45,724 was 45,750, the tens digit would be 5. Since 5 or more means round up, 45,750 would round to 45,800.

🌟 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