Round the Number: What is 2,670 Approximately?

Q: Why do I look at the tens digit instead of the ones digit?

When rounding to the nearest hundred, the tens digit determines the direction. The tens place is right next to the hundreds place, so it tells you whether to round up or down.

Q: What happens to the digits after the hundreds place?

All digits to the right of the hundreds place become zero. So 2,670 becomes 2,700 - the tens and ones places both become 0.

Q: What if the tens digit is exactly 5?

When the tens digit is exactly 5, you still round up! The rule is: 5 or greater rounds up, less than 5 rounds down.

Q: How can I remember which way to round?

Think of it like climbing stairs: if you're halfway or more (5, 6, 7, 8, 9), go up to the next hundred. If you're less than halfway (0, 1, 2, 3, 4), stay at the current hundred.

Rounding with Nearest Hundred

Choose the correct answer:

$2,670\approx\text{ ?}$

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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:

$2,670\approx\text{ ?}$

Step-by-step solution

To solve this problem, we will round the number 2,670 to the nearest hundred:

First, we identify the target digit for rounding: in 2,670, this is the hundreds place, '6' (hundreds).
Next, check the tens digit, which is '7'.
According to rounding rules, if the tens digit is 5 or greater, round up. If it's less than 5, round down.
Since 7 is greater than 5, we round up by adding 1 to the hundreds digit.
This makes the hundreds digit go from 6 to 7, hence 2,670 rounded to the nearest hundred is 2,700.

Therefore, the correct answer is $2,700$ .

Final Answer

$2,700$

Key Points to Remember

Essential concepts to master this topic

Rule: Look at tens digit to round to nearest hundred
Technique: If tens digit ≥ 5, round up; if < 5, round down
Check: Verify 2,670 → 2,700 because 7 > 5 rounds up ✓

Common Mistakes

Avoid these frequent errors

Rounding to wrong place value
Don't look at the ones digit (0) to round to hundreds = gives 2,670! The ones digit doesn't affect hundreds rounding. Always look at the tens digit (7) when rounding to the nearest hundred.

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 tens digit instead of the ones digit?

When rounding to the nearest hundred, the tens digit determines the direction. The tens place is right next to the hundreds place, so it tells you whether to round up or down.

What happens to the digits after the hundreds place?

All digits to the right of the hundreds place become zero. So 2,670 becomes 2,700 - the tens and ones places both become 0.

What if the tens digit is exactly 5?

When the tens digit is exactly 5, you still round up! The rule is: 5 or greater rounds up, less than 5 rounds down.

How can I remember which way to round?

Think of it like climbing stairs: if you're halfway or more (5, 6, 7, 8, 9), go up to the next hundred. If you're less than halfway (0, 1, 2, 3, 4), stay at the current hundred.

Is 2,700 really close to 2,670?

Yes! The difference is only 30, which is closer than any other hundred. 2,600 would be 70 away, making 2,700 the better approximation.

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