Answer:
The quotient of 1 and the square of a number can be expressed algebraically as 1/x^2, where x represents the number.
To understand this expression, let's break it down step by step:
1. Quotient: In algebra, a quotient refers to the result of dividing one quantity by another. In this case, we want to find the quotient of 1 and the square of a number.
2. Square of a number: To square a number means to multiply it by itself. For example, if the number is 3, then its square would be 3 * 3 = 9.
3. Expression: In algebra, an expression is a combination of numbers, variables, and operations. In this case, we are combining the number 1 and the square of a number (x^2) to form the expression 1/x^2.
Let's consider an example to make it clearer. If we have the number 2, we can substitute x with 2 in the expression 1/x^2:
1/(2^2) = 1/4
So, the quotient of 1 and the square of the number 2 is 1/4.
It's important to note that this expression can have different values depending on the value of x. For example, if x is equal to 3, then the expression 1/x^2 would be 1/9. Thus, the expression can vary depending on the value assigned to x.
In summary, the algebraic expression for the quotient of 1 and the square of a number is 1/x^2, where x represents the number. This expression represents the result of dividing 1 by the square of the number.