Translate to an algebraic expression The product of 40% and some number. The translation is

0.40x

To translate the phrase "The product of 40% and some number" into an algebraic expression, we can start by replacing "some number" with a variable, such as "x."

Next, we need to represent the phrase "The product of 40% and x." In algebra, when we want to find the product of two numbers, we multiply them. So, we can express this as 40% times x or 0.40 times x.

Therefore, the algebraic expression for "The product of 40% and some number" is 0.40x.