Answer :
To solve the problem of finding the difference between 79,654 and 2,015, we will subtract the two numbers:
Start with the numbers 79,654 and 2,015.
Write the numbers in a column, aligning them by their rightmost digits:
[tex]\begin{array}{c}
\phantom{0}79,654 \\
-\phantom{0}\,2,015 \\
\hline
\end{array}[/tex]Subtract starting from the rightmost digit (the units digit):
From 4 (in the units place), subtract 5. Since 4 is less than 5, we need to borrow 1 from the tens place. Borrowing 10 makes it 14. Now subtract: 14 - 5 = 9.
Next, move to the tens place (5 became 4 after borrowing 1):
Subtract 1 from 4 to get 3.Proceed to the hundreds place:
6 - 0 = 6In the thousands place, since there's a zero in front of the number we borrowed from, maintain borrowing from the next digit:
9 becomes 8, and 7 becomes 6.Finally, subtract from the ten-thousands place:
7 (after borrowing) - 2 = 5.
Put them together for the total difference:
[tex]\begin{array}{c}
77,639
\end{array}[/tex]
Therefore, the difference is 77,639.
Hence, the correct option from the multiple-choice answers is Option C. 77,639.