Question

How do you write the algebraic expression for the product of x and y?

Answer 1

Hint: The statement given in the above question is about the product of two unknown numbers x and y. The two unknown numbers, or the variables, are connected using the term “product” which refers to the operation of multiplication in mathematics. Therefore, we have to multiply the variables x and y to write the given mathematical statement. In mathematics, the symbol for the multiplication operator is represented by the cross “$\times $” sign. Therefore, on writing the variables x and y along with the multiplication symbol, we will get the required algebraic expression for the given statement.

Complete step by step answer:
According to the statement given in the above question, we have two unknown numbers, which are represented by the alphabetical letters “x” and “y”. The statement is about the product of these two unknown numbers, or the two variables. We know that the product, or the multiplication is represented by the cross “$\times $” symbol. Therefore, we can finally write the required algebraic expression as
$\Rightarrow x\times y$
Hence, we have written the algebraic expression for the statement given in the question as $x\times y$.

Note: In case of the algebraic expressions for the multiplication involving variables, we can drop the multiplication “$\times $” symbol so that we can also write the algebraic expression simply as $xy$. The multiplication is also represented by the terms “times” and “of”. We must be familiar with these.