Math Problem Statement

In which number does the digit 2 have ten times the value as the underlined digit in the number above? A 7,429 B 25,381 C 382 D 12,783

Solution

To solve this problem, we need to find a number where the digit "2" has ten times the value of the underlined digit in the number above. Let's analyze each option.

Option A: 7,429

The digit 2 is in the tens place, meaning it represents 2×10=202 \times 10 = 20. The underlined digit is 9, which is in the ones place, and its value is 9.

Clearly, 2010×920 \neq 10 \times 9. So, option A is not correct.

Option B: 25,381

The digit 2 is in the ten thousands place, meaning it represents 2×10,000=20,0002 \times 10,000 = 20,000. The underlined digit is 5, which is in the thousands place, and its value is 5×1,000=5,0005 \times 1,000 = 5,000.

Clearly, 20,000=10×5,00020,000 = 10 \times 5,000, so option B is correct.

Option C: 382

The digit 2 is in the ones place, meaning it represents 2×1=22 \times 1 = 2. The underlined digit is 8, which is in the tens place, and its value is 8×10=808 \times 10 = 80.

Clearly, 210×802 \neq 10 \times 80. So, option C is not correct.

Option D: 12,783

The digit 2 is in the thousands place, meaning it represents 2×1,000=2,0002 \times 1,000 = 2,000. The underlined digit is 7, which is in the hundreds place, and its value is 7×100=7007 \times 100 = 700.

Clearly, 2,00010×7002,000 \neq 10 \times 700. So, option D is not correct.

Conclusion:

The correct answer is B: 25,381.

Would you like more details or have any questions?

Here are five related questions:

  1. What is the value of each digit in a multi-digit number?
  2. How do you determine place value in a number?
  3. How is the value of a digit affected by its place?
  4. What are other examples where a digit is ten times the value of another digit?
  5. What is the place value of a digit in a decimal number?

Tip: When dealing with place value, the value of a digit depends on its position in the number. Each place to the left increases its value by a factor of 10.

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Math Problem Analysis

Mathematical Concepts

Place Value
Multiplication

Formulas

Value of a digit = digit × place value

Theorems

Place value system

Suitable Grade Level

Grades 4-6