To determine the multiplication equation shown by the place-value blocks, we must first break down the composition of the blocks.
Each group consists of:
- 1 hundred = 100
- 4 tens = 4 × 10 = 40
- 4 ones = 4 × 1 = 4
Adding these together gives: 100 + 40 + 4 = 144
Since there are three groups of these blocks, the total quantity represented would be: 3 × 144 = 432
Thus, the multiplication equation that the place-value blocks show is:
3 × 144 = 432.