Sure, let's solve the addition step-by-step.
1. Identify the numbers to add:
- The first number is 16896.02.
- The second number is 578.7.
2. Line up the numbers by their decimal points:
- Since the first number has two digits after the decimal and the second number has one digit after the decimal, to simplify the addition, we can think of 578.7 as 578.70.
```
16896.02
+ 578.70
```
3. Start adding from the rightmost digit moving to the left:
- Begin with the hundredths place:
- 2 (from 16896.02) + 0 (from 578.70) = 2
- Move to the tenths place:
- 0 (from 16896.02) + 7 (from 578.70) = 7
- Next, add the units place:
- 6 (from 16896.02) + 8 (from 578.70) = 14, carry over 1
- Add the tens place:
- 9 (from 16896.02) + 7 (from 578.70) + 1 (carried over) = 17, carry over 1
- Add the hundreds place:
- 8 (from 16896.02) + 5 (from 578.70) + 1 (carried over) = 14, carry over 1
- Finally, add the thousands place and ten-thousands:
- 6 (from 16896.02) + 0 (from 578.70) + 1 (carried over) = 7
- 1 (from 16896.02) + 0 = 1
4. Combine the results from each place value:
```
16896.02
+ 578.70
-----------
17474.72
```
The sum of [tex]\(16896.02\)[/tex] and [tex]\(578.7\)[/tex] is [tex]\(17474.72\)[/tex].
