Find the Approximate Value: Estimating 17,115

Q: Which digit do I look at to round to the nearest thousand?

Look at the hundreds digit (the digit in the hundreds place). In 17,115, that's the first '1' after the comma. If it's 5 or more, round up. If it's less than 5, round down.

Q: What if the hundreds digit was exactly 5?

If the hundreds digit is exactly 5, you round up to the next thousand. For example, 17,500 would round up to 18,000.

Q: How do I know what place value to round to?

Look at the answer choices provided! They show you the level of approximation needed. In this case, all choices end in 000 or 00, indicating rounding to thousands or hundreds.

Q: Is there a shortcut to check my rounding?

Yes! Ask yourself: "Which answer choice is my number closest to?" 17,115 is much closer to 17,000 (difference of 115) than to 18,000 (difference of 885).

Rounding Numbers with Thousands Place

Choose the correct answer:

$17,115\approx\text{ ?}$

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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:

$17,115\approx\text{ ?}$

Step-by-step solution

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

Step 1: Identify the given information
Step 2: Apply rounding rules for nearest 1,000
Step 3: Select the correct choice based on the rounded value

Let's work through each step:

Step 1: The given number is 17,115. We need to round it to the nearest value among the choices.

Step 2: To round to the nearest 1,000, we look at the hundreds digit in 17,115, which is 1 (as in '115'). According to rounding rules, since 1 is less than 5, we round down.

Step 3: Rounding 17,115 to the nearest 1,000 results in 17,000.

According to the choices, the correct rounded answer 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: In 17,115, the hundreds digit is 1 (less than 5)
Check: 17,115 is closer to 17,000 than 18,000 ✓

Common Mistakes

Avoid these frequent errors

Looking at the wrong digit when rounding
Don't look at the tens digit (1) or units digit (5) when rounding to thousands = wrong answer! This gives you incorrect place values. Always identify the digit one place smaller than your target rounding place.

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

Which digit do I look at to round to the nearest thousand?

Look at the hundreds digit (the digit in the hundreds place). In 17,115, that's the first '1' after the comma. If it's 5 or more, round up. If it's less than 5, round down.

Why is 17,000 correct instead of 17,100?

The question asks for an approximation, and looking at the answer choices, we need to round to the nearest thousand. 17,100 would be rounding to the nearest hundred, not thousand.

What if the hundreds digit was exactly 5?

If the hundreds digit is exactly 5, you round up to the next thousand. For example, 17,500 would round up to 18,000.

How do I know what place value to round to?

Look at the answer choices provided! They show you the level of approximation needed. In this case, all choices end in 000 or 00, indicating rounding to thousands or hundreds.

Is there a shortcut to check my rounding?

Yes! Ask yourself: "Which answer choice is my number closest to?" 17,115 is much closer to 17,000 (difference of 115) than to 18,000 (difference of 885).

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