Subtract 7 from 45: Base-10 Block Decomposition Problem

To solve this problem, we'll adhere to a few simple steps:

• Step 1: Identify the given numbers; initially, we have $45$ blocks.
• Step 2: Determine the number of blocks to remove, which is $7$.
• Step 3: Subtract the removed blocks from the total: $45 - 7$.

Now, let's perform the calculation:
The difference between $45$ and $7$ can be found by performing the subtraction:
$45 - 7 = 38$.

Therefore, after removing $7$ blocks from $45$ blocks, the number of blocks remaining is $38$.

Thus, the solution to the problem is $38$.