the.com/grouping

Math's polite word for 'do this part first, I dare you.'

means A collection of things gathered together and treated as a single unit, often because of shared properties or position.

from From 'group,' borrowed into English from French 'groupe' in the 1600s-1700s, itself from Italian 'gruppo' — originally an artistic term for a cluster of figures arranged together in a painting or sculpture. The '-ing' turns the act of clustering into the thing clustered. So the word carries a faint echo of studio composition: even in algebra, you're still arranging figures into a pleasing, manageable cluster.

origin
formalized to make arithmetic unambiguous for machines and humans
property keeper
preserves sums and products, never changes the answer
common trap
forget it and 2+3x4 becomes a crime scene
symbol of choice
parentheses, brackets, braces, nesting like Russian dolls
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