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Using four different digits, form the subtraction 5A - 4B to make the answer as small as possible and as large as possible.
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Step-by-step solution
4 stepsHere are the solutions for both parts of the problem.
Determine the digits for the smallest answer.
To make the subtraction as small as possible, we need to choose the smallest possible digit for and the largest possible digit for . The digits 5 and 4 are already used, so we cannot use them for or . The available digits from 1 to 9 (excluding 4 and 5) are .
- Smallest : Choose .
- Largest : Choose . The four different digits used are .
Calculate the smallest answer.
Substitute and into the subtraction:
The completed subtraction for the smallest answer is:
Determine the digits for the largest answer.
To make the subtraction as large as possible, we need to choose the largest possible digit for and the smallest possible digit for . Again, the digits 5 and 4 are already used. The available digits from 1 to 9 (excluding 4 and 5) are .
- Largest : Choose .
- Smallest : Choose . The four different digits used are .
Calculate the largest answer.
Substitute and into the subtraction:
The completed subtraction for the largest answer is:
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