Find the Approximation: Estimating the Value of 1,852

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

Look at the answer choices to determine the place value! If choices end in 00, 50, etc., you're likely rounding to tens or hundreds.

Q: What if the ones digit is exactly 5?

When the digit is exactly 5, the standard rule is to round up to the next ten. For example, 1,855 would round up to 1,860.

Q: Why is 1,850 better than 1,900 for approximating 1,852?

Distance matters! $ |1,852 - 1,850| = 2 $ but $ |1,852 - 1,900| = 48 $. The closest approximation is always better.

Q: Can I just pick the middle number from the choices?

No! Always apply proper rounding rules. The middle choice isn't necessarily the closest to your original number.

Q: What does the ≈ symbol mean?

The ≈ symbol means "approximately equal to". It tells you to find the closest estimate, not the exact value.

Rounding Numbers with Nearest Ten

Choose the correct answer:

$1,852\approx\text{ ?}$

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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:

$1,852\approx\text{ ?}$

Step-by-step solution

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

Step 1: Analyze the number given: 1,852.
Step 2: Determine the place value to round (nearest ten).
Step 3: Examine the digit in the ones place to determine the rounding action.
Step 4: Apply rounding rules to decide the new value in tens.

Let us begin:
Step 1: The number given is 1,852.
Step 2: Decide on rounding to the nearest ten, as indicated by choice scope.
Step 3: Look at the digit in the ones place, which is 2.
Step 4: Given that 2 is less than 5, we do not round up; we round down, leaving the tens digit (5) unchanged.
Step 5: Thus, 1,852 rounded to the nearest ten is 1,850.

Therefore, the solution to the problem is $1,850$ .

Final Answer

$1,850$

Key Points to Remember

Essential concepts to master this topic

Rounding Rule: Look at the ones digit to determine direction
Technique: In 1,852, the ones digit 2 < 5, so round down
Check: Verify 1,850 is closer to 1,852 than other options ✓

Common Mistakes

Avoid these frequent errors

Rounding to the wrong place value
Don't round 1,852 to the nearest hundred (1,900) or thousand (2,000) when asked for approximation! This gives answers that are too far from the original number. Always identify which place value gives the closest approximation from the answer choices.

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

How do I know which place value to round to?

Look at the answer choices to determine the place value! If choices end in 00, 50, etc., you're likely rounding to tens or hundreds.

What if the ones digit is exactly 5?

When the digit is exactly 5, the standard rule is to round up to the next ten. For example, 1,855 would round up to 1,860.

Why is 1,850 better than 1,900 for approximating 1,852?

Distance matters! $|1,852 - 1,850| = 2$ but $|1,852 - 1,900| = 48$ . The closest approximation is always better.

Can I just pick the middle number from the choices?

No! Always apply proper rounding rules. The middle choice isn't necessarily the closest to your original number.

What does the ≈ symbol mean?

The ≈ symbol means "approximately equal to". It tells you to find the closest estimate, not the exact value.

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