In the subtraction shown, , and are digits. What is the value of ?
Solution
We work from right to left as we would if doing this calculation by hand. In the units column, we have giving 1. Thus, . (There is no borrowing required.) In the tens column, we have giving 5. Since 5 is larger than 3, we must borrow from the hundreds column. Thus, gives 5, which means . In the hundreds column, we have giving 4, which means . In the thousands column, we have 5 (with nothing borrowed) minus giving 4. Thus, or . Finally, .
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