multiplication
Word family
Synonym discussion
Sense: noun/1
All four words are linked to the same arithmetic operation, but each plays a different role. Multiplication is the noun for the operation itself ('Children learn multiplication at age eight'). Times works as an informal preposition in spoken maths ('What is 6 times 7?') and cannot be used as a noun. Product names the result of multiplication, not the process ('The product of 4 and 5 is 20'). Division is the inverse operation that undoes what multiplication does. For example: if multiplication tells you that 3 groups of 4 make 12, then division tells you that 12 split into 3 equal groups gives 4. Learners should avoid using 'times' as a noun ('✗ The times of 4 and 5 is 20') and avoid confusing 'product' with the operation itself.
Common collocations
Etymology
Multiplication comes from the Latin word 'multiplicare', which is built from 'multi-' meaning 'many' and 'plicare' meaning 'to fold'. The original image was of folding something many times over — creating many layers. This idea of 'manyfold increase' led to the modern mathematical meaning of repeated addition.