Answer :

To solve the problem of finding the difference between 79,654 and 2,015, we will subtract the two numbers:

  1. Start with the numbers 79,654 and 2,015.

  2. 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]

  3. 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 = 6

    • In 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.

  4. 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.