Let's analyze Ming's work step by step.
The multiplication problem is:
```
59
x 16
```
To solve this properly, we need to multiply 59 by 6 and then by 10 (the 1 in 16 represents 10).
1. **Multiply 59 by 6:**
- 59 x 6 = 354
2. **Multiply 59 by 10:**
- 59 x 10 = 590
3. **Now, we add these two products:**
- 354 (from 59 x 6)
- + 590 (from 59 x 10)
When we add them:
```
354
+ 590
------
944
```
Now let's check the errors in Ming's work:
1. **In her addition step, she added 354 and 59 instead of 354 and 590.**
2. Therefore, the second number she added (59) should have been 590.
Considering this analysis, the correct option regarding the error in Ming's work is:
**The second number in the addition part of the problem should be 590, because the 1 in 16 represents 10.**