What is the value of 5 + 55 + 555 + 5555 + 55555?

The correct option is 61725.

To find the value of the given expression, we need to sum the following numbers step-by-step:

$5+55+555+5555+55555$

Let's add the numbers together sequentially or align them vertically by place value:

          5
        55
      555
    5555
+ 55555
------------

Step 1: Units Place
Add the digits in the units place:
$5+5+5+5+5=25$
Write down 5 in the units place and carry over 2 to the tens place.

Step 2: Tens Place
Add the digits in the tens place along with the carry-over:
$5+5+5+5+2=22$
Write down 2 in the tens place and carry over 2 to the hundreds place.

Step 3: Hundreds Place
Add the digits in the hundreds place along with the carry-over:
$5+5+5+2=17$
Write down 7 in the hundreds place and carry over 1 to the thousands place.

Step 4: Thousands Place
Add the digits in the thousands place along with the carry-over:
$5+5+1=11$
Write down 1 in the thousands place and carry over 1 to the ten-thousands place.

Step 5: Ten-Thousands Place
Add the digit in the ten-thousands place along with the carry-over:
$5+1=6$
Write down 6 in the ten-thousands place.

Combining all the digits from left to right gives:

$61725$