Final answer:
To represent 4,632 divided by 15 using place value blocks, Option B is correct: Divide the blocks into sets of fifteen and count the number of sets to find the quotient. The process involves grouping the place value blocks and understanding their combined values.
Step-by-step explanation:
To represent the division of 4,632 by 15 using place value blocks, one should use the method of grouping and dividing the blocks into sets. Specifically, the correct approach here would be Option B: Divide the blocks into sets of fifteen, counting the number of sets. This means we would take the place value blocks that represent 4,632 (four thousand blocks, six hundred blocks, and thirty-two individual blocks), and organize them into groups of fifteen. By counting the number of full sets of fifteen, we can determine how many times 15 goes into 4,632, which gives us the quotient of the division.
The process involves understanding that each block represents a specific value based on its size or color, and grouping these blocks into sets of fifteen will require an understanding of how place values work together. For instance, you might have to exchange some larger blocks for smaller ones to make up groups of fifteen evenly. After grouping, any remaining blocks that cannot form a complete set of fifteen would represent the remainder of the division.