Find the Approximate Value: Rounding 7,128 to the Nearest Power of 10

Q: How do I know which digit to look at when rounding?

Look at the digit one place to the right of where you're rounding to. For rounding to the nearest ten, check the units digit. If it's 5 or more, round up!

Q: Why is 7,130 correct instead of 7,120?

Because the units digit is 8, which is greater than 5. This means we round UP, changing the tens digit from 2 to 3, giving us 7,130.

Q: How can I check if my rounded answer makes sense?

Compare distances! $7,128$ is only 2 away from $7,130$ but 8 away from $7,120$. The closer number is always correct.

Q: What if the units digit is exactly 5?

When the units digit is exactly 5, you still round up! The rule is 5 or more rounds up, so 5 is included in the "round up" category.

Rounding Numbers with Tens Place Focus

Choose the right answer:

$7,128\approx\text{ ?}$

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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:

$7,128\approx\text{ ?}$

Step-by-step solution

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

Step 1: Identify the given number and its relevant digits.
Step 2: Apply the appropriate rounding rules.
Step 3: Compare the rounded result with the given choices.

Now, let's work through each step:

Step 1: The given number is $7,128$ . The relevant digits are the tens digit (2) and the units digit (8).

Step 2: According to the rules for rounding to the nearest ten, if the units digit is 5 or more, we round up the tens digit. Here, the units digit is 8, which is greater than 5, so we add 1 to the tens digit.

Step 3: Rounding up, the tens digit becomes $3$ , and the number $7,128$ is rounded to $7,130$ .

Therefore, the solution to the problem is $7,130$ .

Final Answer

$7,130$

Key Points to Remember

Essential concepts to master this topic

Rule: When units digit is 5 or more, round up the tens digit
Technique: For 7,128, units digit 8 > 5, so 2 becomes 3
Check: 7,130 is closer to 7,128 than 7,120 by 2 units ✓

Common Mistakes

Avoid these frequent errors

Rounding to wrong place value
Don't round 7,128 to 7,000 by looking at hundreds place = ignores the actual rounding instruction! This gives an answer that's 128 away instead of 2 away. Always identify which place value you're rounding to 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 digit to look at when rounding?

Look at the digit one place to the right of where you're rounding to. For rounding to the nearest ten, check the units digit. If it's 5 or more, round up!

Why is 7,130 correct instead of 7,120?

Because the units digit is 8, which is greater than 5. This means we round UP, changing the tens digit from 2 to 3, giving us 7,130.

What happens to the units digit after rounding?

The units digit always becomes 0 when rounding to the nearest ten. We replace it with zero and adjust the tens digit based on the rounding rule.

How can I check if my rounded answer makes sense?

Compare distances! $7,128$ is only 2 away from $7,130$ but 8 away from $7,120$ . The closer number is always correct.

What if the units digit is exactly 5?

When the units digit is exactly 5, you still round up! The rule is 5 or more rounds up, so 5 is included in the "round up" category.

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