Choose the Correct Rounding for 15,715: Nearest Value Estimation

Q: Why do I look at the tens digit and not the ones digit?

When rounding to the nearest hundred, the tens digit tells you which hundred is closer. The ones digit only matters for rounding to the nearest ten!

Q: What if the tens digit is exactly 5?

If the tens digit is 5 or greater, always round up to the next hundred. For example, 15,750 would round up to 15,800.

Q: How can I remember which digit to look at?

Think of it this way: to round to hundreds, look at the digit in the tens place. To round to tens, look at ones. Always look one place to the right!

Q: Is 15,700 really closer to 15,715 than 15,800?

Yes! $ 15,715 - 15,700 = 15 $ while $ 15,800 - 15,715 = 85 $. Since 15

Q: What about 15,720 and 15,710 - aren't they closer?

Those are rounded to the nearest ten, not hundred! The question asks for rounding to the nearest hundred, so only 15,700 and 15,800 are valid hundred values.

Rounding Numbers with Nearest Hundred Place

Choose the correct answer:

$15,715\approx\text{ ?}$

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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:

$15,715\approx\text{ ?}$

Step-by-step solution

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

Step 1: Identify the tens digit of the number 15,715.
Step 2: Apply the rounding rule for the nearest hundred based on the tens digit.
Step 3: Determine and choose the appropriate option from the provided choices.

Now, let's work through each step:
Step 1: The tens digit of the number 15,715 is 1.
Step 2: When rounding to the nearest hundred, if the tens digit is less than 5, we round down. Therefore, we round 15,715 to 15,700.
Step 3: From the given choices (15,720, 15,710, 15,700, and 15,800), the rounded number 15,700 matches option 3.

Therefore, the solution to the problem is $15,700$ .

Final Answer

$15,700$

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 down; 15,715 → 15,700
Check: Verify 15,700 is closer to 15,715 than other hundreds ✓

Common Mistakes

Avoid these frequent errors

Rounding to wrong place value
Don't round 15,715 to 15,720 (nearest ten) = wrong place value! This happens when you focus on the ones digit instead of tens digit. Always identify the tens digit when rounding to 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 and not the ones digit?

When rounding to the nearest hundred, the tens digit tells you which hundred is closer. The ones digit only matters for rounding to the nearest ten!

What if the tens digit is exactly 5?

If the tens digit is 5 or greater, always round up to the next hundred. For example, 15,750 would round up to 15,800.

How can I remember which digit to look at?

Think of it this way: to round to hundreds, look at the digit in the tens place. To round to tens, look at ones. Always look one place to the right!

Is 15,700 really closer to 15,715 than 15,800?

Yes! $15,715 - 15,700 = 15$ while $15,800 - 15,715 = 85$ . Since 15 < 85, the answer is definitely 15,700.

What about 15,720 and 15,710 - aren't they closer?

Those are rounded to the nearest ten, not hundred! The question asks for rounding to the nearest hundred, so only 15,700 and 15,800 are valid hundred values.

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