Use all the digits 0, 1, 5, and 3 just once to form the greatest decimal with two decimal places. (The digit 0 cannot be in the last place of the decimal.) Explain how you arrived... Use all the digits 0, 1, 5, and 3 just once to form the greatest decimal with two decimal places. (The digit 0 cannot be in the last place of the decimal.) Explain how you arrived at your answer.
Understand the Problem
The question is asking us to use the digits 0, 1, 5, and 3 to create the largest possible decimal number with two decimal places, ensuring that the digit 0 is not in the last place. We need to explain the reasoning behind our chosen number.
Answer
The largest number is $5.31$.
Answer for screen readers
The largest possible decimal number is $5.31$.
Steps to Solve
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Identify the largest digits To create the largest possible decimal number, we should focus on the largest digits available: 5, 3, and 1. We avoid using 0 at the end of the decimal.
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Decide the whole number part The largest digit should be in the whole number part. Using the digits we have, we can set 5 as the first digit.
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Determine the decimal part For the decimal portion, we should use the next largest digits. The digits we can select are 3, 1, and 0. Choosing 3 and 1 for the decimal part, we will have the decimal as .31.
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Combine the parts Now, we can combine the whole number and decimal parts to form the complete number, which will be 5.31.
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Confirm the placement of 0 Confirming that 0 is not in the last position, as stipulated by the problem.
The largest possible decimal number is $5.31$.
More Information
The answer is derived from arranging the digits in such a way that maintains the integrity of the largest possible value while adhering to the problem's restrictions.
Tips
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