Math Problem Statement

In which number does the digit 2 represent 1/10 as much as the digit 2 in 2,397?

Solution

The question asks:

"In which number does the digit 2 represent 110\frac{1}{10} as much as the digit 2 in 2,397?"

Interpretation:

  • The digit 2 in the number 2,397 is in the thousands place, which means its value is 2×1,000=2,0002 \times 1,000 = 2,000.
  • We're looking for a number where the digit 2 represents 110\frac{1}{10} of 2,000, which is 110×2,000=200\frac{1}{10} \times 2,000 = 200.

Now let's evaluate each option:

  • A) 2,351: The digit 2 is in the thousands place, so its value is 2,000.
  • B) 6,092: The digit 2 is in the ones place, so its value is 2.
  • C) 24,601: The digit 2 is in the ten-thousands place, so its value is 20,000.
  • D) 51,298: The digit 2 is in the hundreds place, so its value is 200.

Conclusion:

The digit 2 represents 200 in option D) 51,298, which matches 110\frac{1}{10} of 2,000.

The correct answer is D) 51,298.

Would you like more details, or do you have any questions?

Here are 5 related questions for practice:

  1. What is the place value of 5 in the number 51,298?
  2. In which place value does the digit 1 in 24,601 lie?
  3. How would the value of digit 2 change if it moved one place to the left in the number 51,298?
  4. If the digit 3 in the number 2,397 were changed to 8, how would the total value of the number change?
  5. What is the value of the digit 9 in the number 6,092?

Tip: Place value depends on the position of the digit in the number, and each position represents a power of 10.

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Math Problem Analysis

Mathematical Concepts

Place Value
Decimals

Formulas

Place value formula for powers of 10

Theorems

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Suitable Grade Level

Grades 4-6