Yes, this difference is deliberate. Wolfram Alpha interprets 6/2*3
as 6/(2*3)
because the "/" symbol is treated as a fraction bar, indicating a grouping. However, 6÷2*3
is interpreted as *(6/2)3 because the "÷" symbol follows standard arithmetic order of operations (left-to-right for division and multiplication). This distinction ensures clarity, as "/" can imply a fraction, while "÷" adheres to conventional arithmetic rules.