To represent the sentence "the quotient of 2 and a number" as an algebraic expression using [tex]\( x \)[/tex] for "a number," we can follow these steps:
1. Identify the components:
- The word "quotient" indicates a division operation.
- "2" is the numerator (the number we are dividing).
- "a number" is the denominator (the number by which we are dividing).
2. Set up the division:
- When we divide 2 by a number [tex]\( x \)[/tex], the mathematical operation is represented as [tex]\( \frac{2}{x} \)[/tex].
Therefore, the algebraic expression that represents the sentence "the quotient of 2 and a number" is:
[tex]\[ \frac{2}{x} \][/tex]
