A partial product refers to the result obtained from multiplying one of the numbers by a part (or digit) of the other number during multiplication, especially in the context of multi-digit multiplication. It is used primarily in mathematics and educational contexts when discussing methods of multiplication such as the traditional algorithm or the area model.
The term is commonly used in both oral and written forms, especially in educational materials aimed at teaching multiplication techniques to young students. Its usage frequency is moderate within the realm of mathematics education.
The teacher explained how to find a partial product when multiplying two-digit numbers.
Translation: Учитель объяснил, как найти частичный продукт при умножении двузначных чисел.
By adding the partial products together, we can find the total product of the two numbers.
Translation: Складывая частичные продукты, мы можем найти общий продукт двух чисел.
Students are often taught to list their partial products to ensure they do not make mistakes in multiplication.
Translation: Студентам часто учат записывать свои частичные продукты, чтобы убедиться, что они не делают ошибок при умножении.
Although partial product itself is not commonly used in idiomatic expressions, it appears within mathematical discourse as a technical term. However, the concept may influence phrases within mathematics education. Here are a few sentences incorporating related terms:
The sum of partial products is essential in understanding multiplication strategies.
Translation: Сумма частичных продуктов важна для понимания стратегий умножения.
When calculating using the partial product method, clarity in steps is crucial.
Translation: При вычислении с использованием метода частичных продуктов ясность шагов имеет решающее значение.
Students often confuse the partial product approach with the standard algorithm.
Translation: Студенты часто путают подход частичного продукта с обычным алгоритмом.
To simplify complex multiplications, I applied the partial product strategy effectively.
Translation: Чтобы упростить сложные умножения, я эффективно применил стратегию частичного продукта.
The term partial comes from the Latin word "partialis," meaning "of a part." The term product originates from the Latin "productus," meaning "something produced," which is derived from "producere," meaning "to lead forth." Together, partial product conveys the idea of a result derived from a portion of the numbers involved in multiplication.
Intermediate product
Antonyms:
In summary, partial product is a mathematics term primarily used in educational contexts, referring to the results obtained during multi-digit multiplication. Its importance is highlighted in teaching methods, ensuring that students understand diverse multiplication strategies.