Approximate the Value: Finding the Nearest Round Number to 24,380

Q: Why do I look at the hundreds digit when rounding to the nearest thousand?

When rounding to any place value, you always look at the digit one place to the right. Since we're rounding to the thousands place, we check the hundreds digit to decide whether to round up or down.

Q: What if the hundreds digit is exactly 5?

When the digit is exactly 5, the standard rule is to round up. For example, 24,500 would round up to 25,000 when rounding to the nearest thousand.

Q: How do I remember which direction to round?

Think of it like this: 0, 1, 2, 3, 4 stay down (round down), and 5, 6, 7, 8, 9 go up (round up). It's like climbing stairs - 5 and above have enough 'energy' to go up!

Q: Can I check if my rounding is correct?

Yes! Find the distance from your original number to both possible rounded values. The correct answer should be closer. For 24,380: distance to 24,000 is 380, distance to 25,000 is 620, so 24,000 is correct.

Q: What happens to the other digits after rounding?

When rounding to the thousands place, all digits to the right become zeros. So 24,380 becomes 24,000 - the hundreds, tens, and ones places all become 0.

Rounding with Nearest Thousand Places

Choose the correct answer:

$24,380\approx\text{ ?}$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose the correct answer:

$24,380\approx\text{ ?}$

Step-by-step solution

To solve this problem, we will determine the correct approximation by rounding the number 24,380 to the nearest thousand. Here's how:

Step 1: Identify the hundreds digit of the number 24,380. This digit is 3 (from 380).
Step 2: Apply the rounding rule: If the hundreds digit is 5 or greater, round up. If it is less than 5, round down.
Step 3: Since the hundreds digit is 3, which is less than 5, we round down.

This means rounding 24,380 to the nearest thousand gives us 24,000. Therefore, the solution to the problem is:

$24,000$ .

Final Answer

$24,000$

Key Points to Remember

Essential concepts to master this topic

Rule: Look at the hundreds digit to round to nearest thousand
Technique: Since hundreds digit is 3 < 5, round down: 24,380 → 24,000
Check: Distance from 24,000 is 380, from 25,000 is 620; 380 < 620 ✓

Common Mistakes

Avoid these frequent errors

Rounding to the wrong place value
Don't round 24,380 to 24,400 by looking at the tens digit = wrong place value! This gives an approximation to the nearest hundred, not thousand. Always identify which place value you're rounding to first, then look at the digit one place to the right.

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 hundreds digit when rounding to the nearest thousand?

When rounding to any place value, you always look at the digit one place to the right. Since we're rounding to the thousands place, we check the hundreds digit to decide whether to round up or down.

What if the hundreds digit is exactly 5?

When the digit is exactly 5, the standard rule is to round up. For example, 24,500 would round up to 25,000 when rounding to the nearest thousand.

How do I remember which direction to round?

Think of it like this: 0, 1, 2, 3, 4 stay down (round down), and 5, 6, 7, 8, 9 go up (round up). It's like climbing stairs - 5 and above have enough 'energy' to go up!

Can I check if my rounding is correct?

Yes! Find the distance from your original number to both possible rounded values. The correct answer should be closer. For 24,380: distance to 24,000 is 380, distance to 25,000 is 620, so 24,000 is correct.

What happens to the other digits after rounding?

When rounding to the thousands place, all digits to the right become zeros. So 24,380 becomes 24,000 - the hundreds, tens, and ones places all become 0.

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