Place Value Problem: Finding a Number with Units Digit 2 and Hundreds Digit 1

Q: How do I identify the hundreds digit in a 3-digit number?

The hundreds digit is always the leftmost digit in a 3-digit number. For example, in 182, the hundreds digit is 1. Remember: hundreds, tens, units from left to right!

Q: What if a number has no hundreds digit, like 82?

If a number has only 2 digits, it has no hundreds digit, so it can't satisfy our condition. We need the hundreds digit to be 1, so only 3-digit numbers starting with 1 can work.

Q: Can there be more than one correct answer?

Absolutely! Any number with hundreds digit 1 and units digit 2 works. Examples include $ 102 $, $ 112 $, $ 122 $, $ 132 $, etc.

Q: Why does 120 not work even though it has hundreds digit 1?

Good observation! $ 120 $ does have hundreds digit 1, but its units digit is 0, not 2. Both conditions must be satisfied simultaneously for the answer to be correct.

Q: How can I remember which digit is which position?

Units: Rightmost digit (ones place)Tens: Middle digit in 3-digit numbersHundreds: Leftmost digit in 3-digit numbersThink: "Units, tens, hundreds" from right to left!

Place Value Identification with Multiple Digit Requirements

My units digit is 2 and my hundreds digit is 1 - which number am I?

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Step-by-step written solution

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Understand the problem

My units digit is 2 and my hundreds digit is 1 - which number am I?

Step-by-step solution

To solve this problem, let's break down the given numbers and check which ones satisfy the conditions:

Step 1: Verify the units digit is 2.
Step 2: Verify the hundreds digit is 1.

Now, we analyze each option:

Option 1: $120$
- Units digit: $0$
- Hundreds digit: $1$
This fails because the units digit is not 2.

Option 2: $182$
- Units digit: $2$
- Hundreds digit: $1$
This satisfies both conditions.

Option 3: $102$
- Units digit: $2$
- Hundreds digit: $1$
This satisfies both conditions.

In conclusion, both options 2 and 3 have the required digits in the units and hundreds places respectively.

Therefore, the correct answer is Answers (b) + (c) are correct.

Final Answer

Answers (b) + (c) are correct.

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Units digit is rightmost, hundreds digit is third from right
Technique: Check each number systematically: 182 has units=2, hundreds=1
Check: Verify both conditions satisfied: units digit 2 AND hundreds digit 1 ✓

Common Mistakes

Avoid these frequent errors

Only checking one digit condition
Don't check just the units digit or just the hundreds digit = missing half the requirements! This leads to accepting numbers like 120 (wrong units) or 82 (no hundreds). Always verify BOTH the units digit is 2 AND the hundreds digit is 1.

Practice Quiz

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FAQ

Everything you need to know about this question

How do I identify the hundreds digit in a 3-digit number?

The hundreds digit is always the leftmost digit in a 3-digit number. For example, in 182, the hundreds digit is 1. Remember: hundreds, tens, units from left to right!

What if a number has no hundreds digit, like 82?

If a number has only 2 digits, it has no hundreds digit, so it can't satisfy our condition. We need the hundreds digit to be 1, so only 3-digit numbers starting with 1 can work.

Can there be more than one correct answer?

Absolutely! Any number with hundreds digit 1 and units digit 2 works. Examples include $102$ , $112$ , $122$ , $132$ , etc.

Why does 120 not work even though it has hundreds digit 1?

Good observation! $120$ does have hundreds digit 1, but its units digit is 0, not 2. Both conditions must be satisfied simultaneously for the answer to be correct.

How can I remember which digit is which position?

Units: Rightmost digit (ones place)
Tens: Middle digit in 3-digit numbers
Hundreds: Leftmost digit in 3-digit numbers

Think: "Units, tens, hundreds" from right to left!

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