product-conserving function
nounUK /ˈprɒdʌkt kənˈsɜːvɪŋ ˈfʌŋkʃən/
US /ˈprɑːdʌkt kənˈsɜːrvɪŋ ˈfʌŋkʃən/
A product-conserving function is a math rule that keeps the answer the same when you multiply things together.
The teacher showed that multiplication by one is a product-conserving function because the product never changes.
SYNONYMS
RELATED WORDS
OTHER MEANINGS
2. In algebra, a map between structures that sends products to products.
The function f(x) = 2x is product-conserving because f(ab) equals f(a)f(b).
3. A rule in arithmetic that leaves the result of a multiplication unchanged.
Adding zero is not product-conserving, but multiplying by one is.
4. A transformation that preserves the multiplication operation between two sets.
Students learned that a product-conserving function respects how numbers combine.