Math Problem Statement

By how much is the value of digit 4 greater than the value of digit 8 in the number 3425869

Solution

To determine how much the value of the digit 4 is greater than the value of the digit 8 in the number 3425869, we first need to understand the place values of each digit in the number.

Step-by-step solution:

  • The number is 3425869.
  • The digit 4 is in the ten-thousands place (5th place from the right), so its value is: 4×104=4×10,000=40,0004 \times 10^4 = 4 \times 10,000 = 40,000
  • The digit 8 is in the thousands place (4th place from the right), so its value is: 8×103=8×1,000=8,0008 \times 10^3 = 8 \times 1,000 = 8,000

Difference in value:

Now, subtract the value of the digit 8 from the value of the digit 4: 40,0008,000=32,00040,000 - 8,000 = 32,000

Final Answer:

The value of the digit 4 is 32,000 greater than the value of the digit 8 in the number 3425869.

Would you like more details or have any other questions?

Here are 5 related questions for further exploration:

  1. How does the place value of a digit affect its contribution to the overall number?
  2. What is the place value of digits in different positions for large numbers?
  3. How can you quickly determine the difference in value between digits in a large number?
  4. How does a number change if we swap the positions of the digits 4 and 8?
  5. How do we read large numbers in terms of their place values?

Tip: Always remember that the place value of a digit is determined by its position in the number. Multiplying the digit by the corresponding power of 10 gives you

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Math Problem Analysis

Mathematical Concepts

Place Value
Subtraction

Formulas

Value of digit = digit × 10^position

Theorems

Place Value Theorem

Suitable Grade Level

Grades 4-6