Find the decimal number based on the given clues about the digits.
Understand the Problem
The question requires determining a specific decimal number based on a set of clues about the digits in different places (ones, tenths, hundredths). It highlights constraints about which digits can be used and relationships between digit values.
Answer
The decimal is $46.58$.
Answer for screen readers
The decimal is $46.58$.
Steps to Solve
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List digits that can be used The digits 0, 1, and 2 are not used. Therefore, valid digits are 3, 4, 5, 6, 7, 8, and 9.
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Identify the greatest digit in the hundredths place The greatest one-digit number that is even is $8$. Thus, the digit in the hundredths place is $8$.
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Use the clues to determine the other digits
- The digit in the tenths place is given as $5$.
- The digit in the ones place is $1$ more than the digit in the tenths place, which is $6$ (since $5 + 1 = 6$).
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Find the digit in the tens place
- The digit in the hundredths place ($8$) is twice the digit in the tens place.
- Therefore, the digit in the tens place is $4$ (since $8 / 2 = 4$).
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Put the digits together in the decimal format Now we have the digits:
- Tens place: $4$
- Ones place: $6$
- Tenths place: $5$
- Hundredths place: $8$
So the decimal number is $46.58$.
The decimal is $46.58$.
More Information
The answer represents a decimal formed by careful consideration of the given clues. Using logical reasoning based on the constraints allowed narrowing down the possibilities correctly.
Tips
- Misunderstanding the order of place values may lead to incorrect placement of digits.
- Failing to consider all clues could result in missing critical information about the digits.
AI-generated content may contain errors. Please verify critical information