Place Value Practice: Finding Numbers with Even Tens of Thousands Digits Below 43,125

Place Value Identification with Even Digit Conditions

Choose a number less than 43,125 whose tens of thousands digit is even.

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Step-by-step written solution

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1

Understand the problem

Choose a number less than 43,125 whose tens of thousands digit is even.

2

Step-by-step solution

To solve this problem, let's apply the following steps:

  • Step 1: Verify that each choice is less than 43,125.
  • Step 2: Determine the tens of thousands digit of each number.
  • Step 3: Check which of these digits is even.

Now, let's apply these steps to the choices:

Step 1: Checking the choices against 43,125:

  • 26,999 26,999 is less than 43,125.
  • 32,100 32,100 is also less than 43,125.
  • 44,123 44,123 is greater than 43,125, so it's not suitable.
  • 12,450 12,450 is less than 43,125.

Step 2: Determine the tens of thousands digit for each remaining valid number:

  • The tens of thousands digit of 26,999 26,999 is 2.
  • The tens of thousands digit of 32,100 32,100 is 3.
  • The tens of thousands digit of 12,450 12,450 is 1.

Step 3: Check which tens of thousands digits are even:

  • The digit 2 is even.
  • The digits 3 and 1 are not even.

Therefore, out of the valid choices, the number 26,999 26,999 has an even tens of thousands digit.

Thus, the correct choice, less than 43,125 with an even tens of thousands digit, is 26,999 26,999 .

3

Final Answer

26,999 26,999

Key Points to Remember

Essential concepts to master this topic
  • Rule: Tens of thousands digit is the second digit from left
  • Technique: Check 26,999: digit 2 is even, satisfies both conditions
  • Check: Verify number is less than 43,125 AND tens digit is even ✓

Common Mistakes

Avoid these frequent errors
  • Confusing place value positions
    Don't identify the thousands digit (third from left) as the tens of thousands digit = wrong position! The tens of thousands is always the second digit from the left in five-digit numbers. Always count positions carefully from right to left: ones, tens, hundreds, thousands, ten thousands.

Practice Quiz

Test your knowledge with interactive questions

What number do the units shown below represent?

10,0001000111010100011

UnitsTensHundredsThousandsBeforeConversionAfterConversionTens ofThousands

Write the units in the place value chart and convert into a number.

FAQ

Everything you need to know about this question

How do I remember which digit is the tens of thousands?

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In a number like 26,999 26,999 , count from right to left: 9 (ones), 9 (tens), 9 (hundreds), 6 (thousands), 2 (ten thousands). It's always the second digit from the left in five-digit numbers!

What makes a digit even?

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Even digits are 0, 2, 4, 6, 8 - they can be divided by 2 with no remainder. Odd digits are 1, 3, 5, 7, 9.

Why can't I pick 44,123 if it has an even tens of thousands digit?

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Because 44,123>43,125 44,123 > 43,125 ! The problem requires both conditions: the number must be less than 43,125 AND have an even tens of thousands digit.

How do I compare five-digit numbers quickly?

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Start from the leftmost digit. If they're the same, move to the next digit. Since 44,123 starts with 4 and 43,125 starts with 4, compare the next digits: 4 > 3, so 44,123 is larger.

What if a number has fewer than 5 digits?

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Numbers with fewer than 5 digits don't have a tens of thousands place! For example, 12,450 12,450 has 1 in the ten thousands place, not a missing digit.

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