Find the Approximate Value: Estimating 48,850

Q: How do I know which place value to round to?

Look at the answer choices! When you see $ 49,000 $ and $ 48,000 $, they're thousands. The question wants rounding to the nearest thousand.

Q: What if the hundreds digit is exactly 5?

When the digit is exactly 5 or greater, always round up! So 48,550 would round up to 49,000, just like 48,850 does.

Q: Why isn't 48,900 correct if 8 rounds up?

48,900 rounds to the hundreds place, not thousands! We need to look at the hundreds digit (8) to decide whether to round the thousands digit up or down.

Q: How can I check if my rounding is correct?

Find the halfway point! Between 48,000 and 49,000, the halfway point is 48,500. Since 48,850 > 48,500, it's closer to 49,000.

Q: What happens to all the digits after the thousands place?

They all become zeros! When rounding to thousands, everything in the hundreds, tens, and ones places becomes 0.

Rounding Numbers with Thousands Place

Choose the correct answer:

$48,850\approx\text{ ?}$

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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:

$48,850\approx\text{ ?}$

Step-by-step solution

To solve this problem, we will round the number $48,850$ to the nearest thousand as follows:

Step 1: Identify the relevant digits. Here, $48,850$ has a thousands digit of 8 and a hundreds digit of 8.
Step 2: Apply the rounding rule. Since the hundreds digit (8) is 5 or greater, we round up.
Step 3: Calculate the result. Rounding $48,850$ up from the thousands digit gives us $49,000$ .

Therefore, the solution is $49,000$ .

Final Answer

$49,000$

Key Points to Remember

Essential concepts to master this topic

Rule: Look at hundreds digit to round to nearest thousand
Technique: Since 8 ≥ 5, round 48,850 up to 49,000
Check: 48,850 is closer to 49,000 than 48,000 by 150 ✓

Common Mistakes

Avoid these frequent errors

Rounding to the wrong place value
Don't round 48,850 to 48,900 or 48,800 = wrong place value! These round to hundreds, not thousands. Always identify the target place value first, then look at the digit immediately to its right.

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

How do I know which place value to round to?

Look at the answer choices! When you see $49,000$ and $48,000$ , they're thousands. The question wants rounding to the nearest thousand.

What if the hundreds digit is exactly 5?

When the digit is exactly 5 or greater, always round up! So 48,550 would round up to 49,000, just like 48,850 does.

Why isn't 48,900 correct if 8 rounds up?

48,900 rounds to the hundreds place, not thousands! We need to look at the hundreds digit (8) to decide whether to round the thousands digit up or down.

How can I check if my rounding is correct?

Find the halfway point! Between 48,000 and 49,000, the halfway point is 48,500. Since 48,850 > 48,500, it's closer to 49,000.

What happens to all the digits after the thousands place?

They all become zeros! When rounding to thousands, everything in the hundreds, tens, and ones places becomes 0.

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