Final answer:
In base-ten, each place value is ten times that of the place to its right. For the given diagram, a large rectangle represents 1,000 or 10 to the power of 3. Without the counts of squares and small rectangles, we can't specify the full number, but we can understand the powers of 10 concept.
Step-by-step explanation:
If we understand that in a base-ten number system each place value is ten times the value of the place to its right, we can decode the represented number in the student's question. Since the large rectangle is said to represent 1,000, it signifies 103 or 10 x 10 x 10. Following that logic, the square would represent 102, and the small rectangle 101.
To determine the value of the entire diagram, we must add up the place values of each shape. If you have one large rectangle (1,000), an unspecified number of squares (each representing 100), and an unspecified number of small rectangles (each representing 10), the number would be written algebraically as 1,000 + (100 x number of squares) + (10 x number of small rectangles).
Without knowing how many squares and small rectangles there are, the full number cannot be determined. But the concept of the place value in base-ten helps us understand relationships like 10 to the power of 3 (103 = 1,000), 10 to the power of 2 (102 = 100), and so on.