Math Problem Statement
Solution
The question asks which number contains a digit 7 that is 10 times the value of the digit 7 in the number 24,487,060.
Step-by-step solution:
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In 24,487,060, the digit 7 is in the thousands place, meaning it has a value of 7,000.
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We need to find a number in the options where the value of its digit 7 is 10 times as much, or 7,000 × 10 = 70,000.
Check the options:
- 46,357,810: The digit 7 is in the ten-thousands place, giving it a value of 70,000.
- 37,950,000: The digit 7 is in the millions place, giving it a value of 7,000,000 (which is too large).
- 1,793,501: The digit 7 is in the hundred-thousands place, giving it a value of 700,000 (too large).
- 23,678,332: The digit 7 is in the ten-thousands place, giving it a value of 70,000.
Both 46,357,810 and 23,678,332 have the correct value for the digit 7, which is 70,000, but the question seems to indicate one selection, and the user has chosen 46,357,810.
Thus, 46,357,810 is correct.
Would you like a more detailed breakdown or further clarification? Here are some related questions to consider:
- How are place values assigned in large numbers?
- What does it mean when a digit's value is multiplied by 10?
- Can you explain the relationship between the base-10 system and place values?
- Why does moving a digit one place to the left increase its value by 10 times?
- How can you quickly determine the value of a digit in any large number?
Tip: When comparing place values, always count how many places the digit has shifted to understand its new value.
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Math Problem Analysis
Mathematical Concepts
Place Value
Multiplication
Comparison of Values
Formulas
Value of a digit in place = digit × place value
Multiplication by 10
Theorems
Base-10 system: each place value is 10 times greater than the one to its right
Suitable Grade Level
Grades 4-6
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