Addition with Place Value: Adding 2 Tens and 2 Units to 34

To solve this problem, we'll perform the addition step-by-step, carefully keeping track of place values.

First, we start with the number 34.
We need to add 2 tens, which is equivalent to adding 20. Thus:
$34 + 20 = 54$

Next, add 2 units to the new total:
$54 + 2 = 56$

The final number we get after adding 2 tens and 2 units to 34 is $\mathbf{56}$.