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

Test your knowledge with interactive questions

What number do the blue squares below represent?

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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