Digit Comparison Challenge: Hundreds Less Than Units Position

Place Value Analysis with Digit Comparison

Choose a number whose hundreds digit is less than its units digit.

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Step-by-step written solution

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1

Understand the problem

Choose a number whose hundreds digit is less than its units digit.

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Step-by-step solution

To solve this problem, we need to follow these steps:

  • Step 1: List out the given choices.
  • Step 2: Examine each number's hundreds and units digits.
  • Step 3: Determine which number has a hundreds digit less than its units digit.

Let’s perform the analysis:

Step 1: Examine each choice.

  • Choice 1: 241241 – Hundreds digit: 22, Units digit: 11
  • Choice 2: 637637 – Hundreds digit: 66, Units digit: 77
  • Choice 3: 895895 – Hundreds digit: 88, Units digit: 55
  • Choice 4: 909909 – Hundreds digit: 99, Units digit: 99

Step 2: Compare hundreds and units digits.

  • For 241241, 212 \not< 1
  • For 637637, 6<76 < 7
  • For 895895, 858 \not< 5
  • For 909909, 999 \not< 9

Step 3: From our analysis, the correct answer is 637637 as its hundreds digit 66 is less than its units digit 77.

Therefore, the solution to the problem is 637 637 .

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Final Answer

637 637

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Hundreds digit is third from right, units is rightmost
  • Technique: Compare 637: hundreds digit 6 < units digit 7
  • Check: Verify each choice by identifying positions and comparing values ✓

Common Mistakes

Avoid these frequent errors
  • Confusing hundreds and tens positions
    Don't identify the middle digit as hundreds in a 3-digit number = wrong position analysis! The middle digit is actually the tens place. Always count from right: units (1st), tens (2nd), hundreds (3rd).

Practice Quiz

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What number am I?

FAQ

Everything you need to know about this question

How do I remember which digit is in the hundreds place?

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Count from the right side! In any 3-digit number like 637, the rightmost digit (7) is units, middle digit (3) is tens, and leftmost digit (6) is hundreds.

What if the hundreds and units digits are equal?

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If they're equal, like in 909 where both are 9, then the hundreds digit is not less than the units digit. We need the hundreds digit to be smaller.

Can I use 2-digit numbers for this problem?

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No! A 2-digit number like 45 has no hundreds digit at all. You need at least a 3-digit number to have a hundreds place to compare.

Why isn't 241 correct if 2 and 1 are different?

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Because 2>1 2 > 1 , not 2<1 2 < 1 ! We need the hundreds digit to be less than the units digit, which means smaller.

How can I quickly check all the answer choices?

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  • 241: 21 2 \not< 1
  • 637: 6<7 6 < 7
  • 895: 85 8 \not< 5
  • 909: 99 9 \not< 9

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