Question

which expression represents \the quotient of x and 8\?
a ( x div 8 )
b ( x cdot 8 )
c ( 8x )
d ( x - 8 )

Explanation:

Step1: Recall the definition of quotient

The quotient of two numbers is the result of dividing one number by the other. So, the quotient of \( x \) and \( 8 \) means dividing \( x \) by \( 8 \).

Step2: Analyze each option

• Option A: \( x\div8 \) represents dividing \( x \) by \( 8 \), which is the quotient of \( x \) and \( 8 \).
• Option B: \( x\cdot8 \) represents the product of \( x \) and \( 8 \), not the quotient.
• Option C: \( 8x \) is also the product of \( 8 \) and \( x \) (multiplication), not the quotient.
• Option D: \( x - 8 \) represents the difference of \( x \) and \( 8 \), not the quotient.

Answer:

A. \( x \div 8 \)