To determine why it might be easier to place the numbers in Set A in order from least to greatest than to place the numbers in Set B, let's analyze both sets:
Set A:
- 325,865
- 45,760
- 1,025,680
All these numbers have different numbers of places (six digits for 325,865, five digits for 45,760, and seven digits for 1,025,680).
Set B:
- 456,089
- 492,111
- 409,867
These numbers also have different numbers of places (six digits for all).
However, key differences also lie in the arrangement of digits, particularly in significant places.
- In Set A, while the digits do differ in place value (thousands and tens), the number of places makes it possible to quickly discern the smallest by comparing thousands' place (1,025,680 vs 325,865 vs 45,760).
- In Set B, although all have six places, the thousands digits are different (4 for 456,089 and 409,867) compared to the hundreds and tens which can confuse comparisons.
Given this analysis, here's the best option regarding why one set may be easier to order than the other:
Response: The numbers in Set A all have the same number of places. The numbers in Set B all have different numbers of places.
This captures that Set B’s varied lengths complicate straightforward ordering but note this statement may need adjustment since Set A actually has varied lengths; exploring the logic revealed earlier could suggest: the digits in significant places (thousands, hundreds etc) help visually sort easier in some sets than others.
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