Question
In which number does the digit 8 represent \( \frac{1}{10} \) the value of the digt 8 in the number 5 , ous 2,387 2,478 5,802 8,614
Ask by Rodriquez Santiago. in the United States
Feb 25,2025
Upstudy AI Solution
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Answer
The digit 8 in 2,387 represents \( \frac{1}{10} \) the value of the digit 8 in 5,802.
Solution
In the number 5,802, the digit 8 is in the hundreds place, so it represents 8 × 100 = 800. One‐tenth of 800 is 80.
Now look at each option to see where the digit 8 represents a value of 80:
• 2,387: The digit 8 is in the tens place, so its value is 8 × 10 = 80.
• 2,478: The digit 8 is in the ones place, so its value is 8 × 1 = 8.
• 5,802: As given, the digit 8 is in the hundreds place, so its value is 8 × 100 = 800.
• 8,614: The digit 8 is in the thousands place, so its value is 8 × 1,000 = 8,000.
Since 2,387 is the only number where the digit 8 has a value of 80 (which is 1/10 of 800), the answer is 2,387.
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Simplify this solution Mind Expander
In the number 5,802, the digit 8 is in the thousands place, meaning it represents 8,000. When you think about its value, \( \frac{1}{10} \) of 8,000 is 800, which is exactly the value of the digit 8 in the thousands place when we consider other placements. Now, looking at the other options, in none of them does the digit 8 represent a value that is \( \frac{1}{10} \) of its representation in 5,802. It's a fun puzzle of positional values in our number system!
