Number Approximation: Finding the Nearest Value to 48,246

Q: How do I know which digit to look at when rounding?

Look at the digit one place to the right of where you're rounding to. For thousands, check the hundreds digit. For hundreds, check the tens digit.

Q: What happens if the digit I'm checking is exactly 5?

When the digit is exactly 5, always round up to the next higher number. This is the standard rounding rule used in mathematics.

Q: Why is 48,000 better than 48,250 as an approximation?

The question asks for rounding to the nearest thousand, not hundred. $ 48,250 $ rounds to the nearest ten, which isn't what's being asked for.

Q: How can I double-check my rounding is correct?

Calculate the distance: $ 48,246 $ is 246 away from $ 48,000 $ but 754 away from $ 49,000 $. The smaller distance wins!

Q: What if I accidentally round the wrong direction?

Remember: digits 0-4 round down, digits 5-9 round up. Since the hundreds digit is 2, we round down to the lower thousand.

Rounding Numbers with Thousands Place

Choose the correct answer:

$48,246\approx\text{ ?}$

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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:

$48,246\approx\text{ ?}$

Step-by-step solution

To solve this rounding problem, we will proceed with the following steps:

Step 1: Identify the hundreds digit in $48,246$ .
Step 2: Apply the rounding rule to determine the nearest thousand.

Now, let's work through these steps:

Step 1: The number given is $48,246$ . The hundreds digit in this number is $2$ .

Step 2: According to rounding rules, if the hundreds digit (which is $2$ ) is less than $5$ , we round down to the nearest thousand. This means we will round $48,246$ down to $48,000$ .

Therefore, after rounding $48,246$ to the nearest thousand, the approximate value is $48,000$ .

The correct choice from the options provided is $48,000$ .

Final Answer

$48,000$

Key Points to Remember

Essential concepts to master this topic

Rule: Check hundreds digit to round to nearest thousand
Technique: Since 2 < 5, round 48,246 down to 48,000
Check: 48,246 is closer to 48,000 than 49,000 by 246 units ✓

Common Mistakes

Avoid these frequent errors

Rounding to the wrong place value
Don't round 48,246 to 48,250 or 48,200 = wrong place value! This happens when students round to hundreds or tens instead of thousands. Always identify which place value the problem asks for first.

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 digit to look at when rounding?

Look at the digit one place to the right of where you're rounding to. For thousands, check the hundreds digit. For hundreds, check the tens digit.

What happens if the digit I'm checking is exactly 5?

When the digit is exactly 5, always round up to the next higher number. This is the standard rounding rule used in mathematics.

Why is 48,000 better than 48,250 as an approximation?

The question asks for rounding to the nearest thousand, not hundred. $48,250$ rounds to the nearest ten, which isn't what's being asked for.

How can I double-check my rounding is correct?

Calculate the distance: $48,246$ is 246 away from $48,000$ but 754 away from $49,000$ . The smaller distance wins!

What if I accidentally round the wrong direction?

Remember: digits 0-4 round down, digits 5-9 round up. Since the hundreds digit is 2, we round down to the lower thousand.

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