Question

How do you express the phrase “the product of 15 and c “as an algebraic expression?

Answer 1

Hint: The above question hints towards making an algebraic expression out of the given phrase. The above phrase indicates having one variable and one constant and also the operation to be performed on both the variable and the number.

Complete step by step answer:
In mathematics, an algebraic expression is a combination of different variables, constant and at the same time many different operations like addition, subtraction, multiplication, and division. These expressions are also called equations and these equations or expressions can contain many terms.
In the above question, the phrase says that “the product of 15 and c “. The word product is an operation that indicates multiplication that needs to be performed on both the variables.
There are two terms mentioned one is the constant which is the number 15 and another is the variable c which has the power of 1.
So, applying the operation of multiplication on it, we get the following expression
\[15 \times c = 15c\]
where $ \times $ indicates multiplication operator which will multiply both the terms i.e., the constant 15 and the variable c.
So, the final expression that is formed from the above phrase is 15c.

Note:
An important thing to note is that both the terms have positive signs. So, multiplication of two positive terms will always give a positive product but if any one of the terms sign is negative we get a product of negative value.