Number Approximation: Finding the Nearest Value to 16,890

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

The hundreds digit tells you whether to round up or down to the nearest thousand. It's like asking 'Are we closer to the thousand below or above?' The hundreds digit of $ 8 $ in 16,890 means we're closer to 17,000.

Q: What happens to all the digits after the place I'm rounding to?

They become zeros! When rounding 16,890 to the nearest thousand, the hundreds (8), tens (9), and ones (0) all become zeros, giving us 17,000.

Q: How do I remember the rounding rule?

Think "5 or more, go up the floor" - if the digit is 5, 6, 7, 8, or 9, round up. If it's 0, 1, 2, 3, or 4, round down. Since 8 ≥ 5, we round up!

Q: Why isn't 16,900 the correct answer?

Because 16,900 is rounding to the nearest hundred, not thousand! The question asks for the nearest thousand, so we need 17,000, not 16,900.

Q: Could the answer ever be 20,000?

Not for 16,890! The number 20,000 is $ 3,110 $ units away, while 17,000 is only $ 110 $ units away. Always choose the closest value.

Rounding Numbers with Thousand Place Values

Choose the correct answer:

$16,890\approx\text{ ?}$

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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:

$16,890\approx\text{ ?}$

Step-by-step solution

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

Step 1: Identify the hundreds digit of 16,890, which is 8.
Step 2: Apply the rounding rule: Since 8 is between 5 and 9, we round up.
Step 3: Round 16,890 up to 17,000.

Given these steps, let's work through the rounding:

The number 16,890 has a hundreds digit of 8. According to the rounding rule, this requires us to round up to the next thousand.

Therefore, 16,890 rounded to the nearest thousand is $17,000$ .

Final Answer

$17,000$

Key Points to Remember

Essential concepts to master this topic

Rule: Look at the hundreds digit to round to nearest thousand
Technique: If hundreds digit ≥ 5, round up: 16,890 becomes 17,000
Check: Verify 17,000 is closer to 16,890 than 16,000 or 18,000 ✓

Common Mistakes

Avoid these frequent errors

Looking at the wrong digit when rounding
Don't look at the tens digit (9) or ones digit (0) when rounding to thousands = wrong place value focus! This leads to incorrect rounding decisions. Always identify the hundreds digit (8) when rounding to the nearest thousand.

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

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

The hundreds digit tells you whether to round up or down to the nearest thousand. It's like asking 'Are we closer to the thousand below or above?' The hundreds digit of $8$ in 16,890 means we're closer to 17,000.

What happens to all the digits after the place I'm rounding to?

They become zeros! When rounding 16,890 to the nearest thousand, the hundreds (8), tens (9), and ones (0) all become zeros, giving us 17,000.

How do I remember the rounding rule?

Think "5 or more, go up the floor" - if the digit is 5, 6, 7, 8, or 9, round up. If it's 0, 1, 2, 3, or 4, round down. Since 8 ≥ 5, we round up!

Why isn't 16,900 the correct answer?

Because 16,900 is rounding to the nearest hundred, not thousand! The question asks for the nearest thousand, so we need 17,000, not 16,900.

Could the answer ever be 20,000?

Not for 16,890! The number 20,000 is $3,110$ units away, while 17,000 is only $110$ units away. Always choose the closest value.

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