Question

Write an expression for the phrase “product of p and q”?

Answer 1

Hint: An algebraic expression is a mathematical phrase that contains a combination of numbers, variables and operational symbols. A variable is a letter that can represent one or more numbers.
Here product between the two numbers means multiplying the first number with the second number, and after multiplying we will get the required phrase.

Complete step-by-step solution:
When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.
Given statement is,
The product of p and q,
The key word to note is 'product'. A product is the answer to a multiplication operation.
For example: The product of 5 and 4 means \[5 \times 4 = 20\], so 20 is the product.
In this question we make use of algebraic concepts, and the product means the same as algebraic multiplication.
So, the product of p and q means \[p \times q = pq\],
The product is \[pq\]. This is an algebraic term which cannot be simplified further and cannot be evaluated unless you know the values for p and q.
So, the expression will be equal to \[p \times q\] .

The math expression for the phrase given: The product of p and q is given by\[p \times q\].

Note: There are so many words that you come across when you're working on algebra problems, and these words are really code for very specific mathematical symbols. To write an expression, we often have to interpret a written phrase.
For example, the phrase “10 added to some number” can be written as the expression x + 10, where the variable x represents the unknown number.
Some examples of common phrases and corresponding expressions that involve the operations are:

Phrase	Expression
12 more than some number	X+12
6 minus some number	t -6
The product of a number and 7	7w
the quotient of a number and 5	\[\dfrac{p}{5}\]