Number Approximation: Finding the Nearest Value to 21,007

Q: Why isn't 21,000 the right answer when it looks simpler?

While 21,000 looks simpler, it's actually 7 units away from 21,007. The correct answer 21,010 is only 3 units away, making it the closer approximation!

Q: What if the ones digit is exactly 5?

When the ones digit is exactly 5, always round UP to the next ten. So 21,005 would round up to 21,010, not down to 21,000.

Q: Do I always look at just one digit when rounding?

Yes! For rounding to the nearest ten, only look at the ones digit. If it's 5 or higher, round up. If it's 4 or lower, round down.

Q: How can I double-check my rounding?

Calculate the distance: |21,007 - 21,010| = 3Compare with other options: |21,007 - 21,000| = 7The smaller distance means closer approximation ✓

Rounding Numbers with Nearest Ten Approximation

Choose the right answer:

$21,007\approx\text{ ?}$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose the right answer:

$21,007\approx\text{ ?}$

Step-by-step solution

To solve the problem, we'll follow a structured approach to rounding 21,007:

Step 1: Identify the digit to focus on for rounding to the nearest ten.
Step 2: The number 21,007 has its ones digit as 7, which is part of our analysis for nearest ten rounding.
Step 3: Apply the rounding rules. Since the units place digit is 7, which is greater than or equal to 5, we round up.
Step 4: Change the units digit (7) to zero and add 1 to the tens digit.
Step 5: The updated number becomes 21,010 after rounding.

Therefore, rounding the number 21,007 to the nearest ten gives us $21,010$ .

Final Answer

$21,010$

Key Points to Remember

Essential concepts to master this topic

Rule: Look at the ones digit to decide rounding direction
Technique: Since 7 ≥ 5, round up: 21,007 becomes 21,010
Check: Verify 21,010 is closer to 21,007 than other options ✓

Common Mistakes

Avoid these frequent errors

Rounding to the wrong place value
Don't round 21,007 to 21,000 by looking at the tens digit = ignoring the question! This gives an approximation that's too far away. Always identify what place value you're rounding TO 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

Why isn't 21,000 the right answer when it looks simpler?

While 21,000 looks simpler, it's actually 7 units away from 21,007. The correct answer 21,010 is only 3 units away, making it the closer approximation!

How do I know which place value to round to?

Look at the answer choices! They show you the pattern. Here, answers like 21,010 and 21,000 tell you we're rounding to the nearest ten, not hundred or thousand.

What if the ones digit is exactly 5?

When the ones digit is exactly 5, always round UP to the next ten. So 21,005 would round up to 21,010, not down to 21,000.

Do I always look at just one digit when rounding?

Yes! For rounding to the nearest ten, only look at the ones digit. If it's 5 or higher, round up. If it's 4 or lower, round down.

How can I double-check my rounding?

Calculate the distance: |21,007 - 21,010| = 3
Compare with other options: |21,007 - 21,000| = 7
The smaller distance means closer approximation ✓

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