Approximating 39,133: Finding the Nearest Round Number

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

Look at the answer choices first! They show you the precision needed. If choices end in 0, 30, 40, you're rounding to the nearest 10.

Q: What if the digit is exactly 5?

When the digit is 5 or higher, always round up! For example, 39,135 would round up to 39,140 because 5 ≥ 5.

Q: Why is 39,130 better than 39,100?

$ 39,133 - 39,130 = 3 $ but $ 39,133 - 39,100 = 33 $. The smaller difference means 39,130 is the closer approximation!

Q: Do I always round down when the digit is less than 5?

Yes! When the digit in the place you're examining is 0, 1, 2, 3, or 4, you always round down by keeping the rounding place digit the same.

Q: What does the ≈ symbol mean?

The symbol ≈ means "approximately equal to" or "about equal to". It shows you're looking for the closest round number, not an exact value.

Rounding Numbers with Units Digit Analysis

Choose the right answer:

$39,133\approx\text{ ?}$

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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:

$39,133\approx\text{ ?}$

Step-by-step solution

To solve the problem of finding the approximation of $39,133$ , follow these steps:

Step 1: Determine which place value rounding is expected. Since smaller increments in hundreds and tens are presented in our choices, start with rounding to the nearest 10.
Step 2: Look at the unit digit (3) in $39,133$ . Ensure proper positioning by analyzing what rounding to the nearest 10 will enact here.
Step 3: Carry out: When rounding numbers, we determine if the parentheses value, $3$ , requests rounding up or down. When the units digit in this place value is below five, the rounding retains the lower outcome of these choices.

Looking at $39,133$ , examining its digits, the tens place is 3 and the units digit is 3, it is less than 5. Thus, the number rounds down to $39,130$ .

Therefore, rounding $39,133$ to the nearest 10 gives $39,130$ .

Final Answer

$39,130$

Key Points to Remember

Essential concepts to master this topic

Rule: Look at the digit to the right of rounding place
Technique: Units digit 3 < 5, so 39,133 rounds down to 39,130
Check: Verify 39,130 is closest to 39,133 among all answer choices ✓

Common Mistakes

Avoid these frequent errors

Rounding to the wrong place value
Don't automatically round to hundreds when tens place is given = wrong answer like 39,100! This ignores the specific rounding precision needed. Always identify which place value the answer choices show first.

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 first! They show you the precision needed. If choices end in 0, 30, 40, you're rounding to the nearest 10.

What if the digit is exactly 5?

When the digit is 5 or higher, always round up! For example, 39,135 would round up to 39,140 because 5 ≥ 5.

Why is 39,130 better than 39,100?

$39,133 - 39,130 = 3$ but $39,133 - 39,100 = 33$ . The smaller difference means 39,130 is the closer approximation!

Do I always round down when the digit is less than 5?

Yes! When the digit in the place you're examining is 0, 1, 2, 3, or 4, you always round down by keeping the rounding place digit the same.

What does the ≈ symbol mean?

The symbol ≈ means "approximately equal to" or "about equal to". It shows you're looking for the closest round number, not an exact value.

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