Math Problem Statement

What are two numbers so that the value of the digit seven in the second number is 10 times the value of the digit seven in the first number

Solution

To find two numbers where the value of the digit 7 in the second number is 10 times the value of the digit 7 in the first number, you need to consider the place value of the digit 7 in each number.

For example:

  1. First number: 6,573

    • The digit 7 is in the tens place, so its value is 7×10=707 \times 10 = 70.
  2. Second number: 6,753

    • The digit 7 is in the hundreds place, so its value is 7×100=7007 \times 100 = 700.

In this case, the value of the digit 7 in the second number (700) is 10 times the value of the digit 7 in the first number (70).

Would you like more details or have any questions?

Here are some related questions you might find interesting:

  1. How do you determine the value of a digit based on its place value?
  2. What happens if you move a digit from the tens place to the thousands place?
  3. How does multiplying a digit's place value by 10 affect its overall value?
  4. Can you find two numbers where the digit 5 in the second number is 10 times the value of the digit 5 in the first number?
  5. How does the place value system work in different number systems (e.g., binary)?
  6. What are some real-world applications of understanding digit place values?
  7. How does moving a digit to a different place value affect the sum of a number?
  8. What patterns can you observe when multiplying numbers by powers of 10?

Tip: When comparing the values of digits in different numbers, always focus on their place values, as this determines how much each digit contributes to the total value.

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Math Problem Analysis

Mathematical Concepts

Place Value
Multiplication
Digit Analysis

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6