Zero can never be used as a?

Zero can never be used as a?

• A. dividend
• B. divisor
• C. quotient
• D. multiplicand

Answer: (B)

Division is about asking how many times the divisor fits into the dividend. If the divisor were zero, you’d be solving dividend = 0 × q. Since 0 × q is always 0, this equation cannot determine a unique q when the dividend is nonzero, and even when the dividend is zero it allows infinitely many q. That makes division by zero undefined, so zero cannot be used as a divisor. Zero, however, can appear in other places: it can be a dividend (0 ÷ a nonzero number equals 0), it can be a multiplicand (0 × any number equals 0), and it can be the quotient (when the dividend is zero and the divisor is nonzero). But as a divisor, zero is not allowed.

Division is about asking how many times the divisor fits into the dividend. If the divisor were zero, you’d be solving dividend = 0 × q. Since 0 × q is always 0, this equation cannot determine a unique q when the dividend is nonzero, and even when the dividend is zero it allows infinitely many q. That makes division by zero undefined, so zero cannot be used as a divisor.

Zero, however, can appear in other places: it can be a dividend (0 ÷ a nonzero number equals 0), it can be a multiplicand (0 × any number equals 0), and it can be the quotient (when the dividend is zero and the divisor is nonzero). But as a divisor, zero is not allowed.