Reduce the Tens Digit: Converting 545 to a New Number

Q: How do I remember which digit is the tens place?

In a 3-digit number, the tens digit is always in the middle! For 545: the first 5 is hundreds, the 4 is tens, and the last 5 is units (ones).

Q: Can I just subtract 2 from the whole number instead?

No! Subtracting 2 from 545 gives 543, but that reduces the units digit, not the tens digit. You must change only the specific digit mentioned.

Q: What does 'reduce by 2' mean exactly?

'Reduce by 2' means subtract 2. So if the tens digit is 4, reducing it by 2 means $ 4 - 2 = 2 $.

Place Value Manipulation with Digit Reduction

Reduce the tens digit in the number 545 by 2. What is the result?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Reduce the tens digit in the number 545 by 2. What is the result?

Step-by-step solution

We will solve this problem step-by-step:

Step 1: Identify the tens digit of 545.
The number 545 can be broken down into: 500 (hundreds), 40 (tens), and 5 (units). The tens digit is 4.
Step 2: Reduce the tens digit by 2.
The tens digit is 4. When reduced by 2, we calculate: $4 - 2 = 2$ .
Step 3: Reconstruct the number.
Replacing the original tens digit of 4 with 2 results in the number $500 + 20 + 5 = 525$ .

Thus, the number after reducing the tens digit by 2 is $525$ .

Therefore, the solution to the problem is $525$ .

Final Answer

$525$

Key Points to Remember

Essential concepts to master this topic

Place Value: Identify hundreds, tens, and units positions correctly
Technique: Reduce tens digit 4 by 2 to get 2
Check: Verify 525 has 5 hundreds, 2 tens, 5 units ✓

Common Mistakes

Avoid these frequent errors

Subtracting from the wrong digit position
Don't subtract 2 from the units digit (5) or hundreds digit (5) = wrong answer like 543 or 345! The problem specifically asks for the tens digit. Always identify the tens position (middle digit in 3-digit numbers) before performing operations.

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FAQ

Everything you need to know about this question

How do I remember which digit is the tens place?

In a 3-digit number, the tens digit is always in the middle! For 545: the first 5 is hundreds, the 4 is tens, and the last 5 is units (ones).

What if reducing the tens digit gives me a negative number?

Great question! If the tens digit is smaller than the number you're subtracting, you'd get a negative result. In this problem, $4 - 2 = 2$ , which is positive, so we're good!

Can I just subtract 2 from the whole number instead?

No! Subtracting 2 from 545 gives 543, but that reduces the units digit, not the tens digit. You must change only the specific digit mentioned.

How do I check if my answer is correct?

Compare digit by digit: original 545 vs your answer 525. The hundreds (5) and units (5) should stay the same, and only the tens should change from 4 to 2.

What does 'reduce by 2' mean exactly?

'Reduce by 2' means subtract 2. So if the tens digit is 4, reducing it by 2 means $4 - 2 = 2$ .

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