To determine the multiplication equation represented by the place-value blocks, we must first calculate the value of one group of the blocks described.
Each group consists of:
- 1 hundred = 100
- 4 tens = 40
- 4 ones = 4
Adding those together, the total value of one group is:
\[ 100 + 40 + 4 = 144 \]
Since the question mentions that there are three groups of these blocks, we calculate the multiplication as follows:
\[ 3 \times 144 = 432 \]
Thus, the correct multiplication equation represented by the place-value blocks is:
3 × 144 = 432.