Final answer:
The phrase 'the product of 8 and p' in mathematics indicates multiplying the number 8 by the variable p, represented as 8p.
Step-by-step explanation:
The phrase 'the product of 8 and p' in mathematics refers to the multiplication of the number 8 by a variable p. The product is represented by the equation 8 × p, which can also be written as 8p without the multiplication symbol. In algebra, this is a simple expression that denotes 8 times whatever value p has.