Question

Alisa said if you have a two-digit divisor and a three-digit dividend, the quotient will always have two digits. Is she correct? Explain.

A) Yes, because three-digit dividends always result in two-digit quotients.
B) No, the quotient depends on the specific numbers involved.
C) Yes, because two-digit divisors always yield two-digit quotients.
D) No, this statement is not universally true.

Answer 1

No, the quotient depends on the specific numbers involved.

Step-by-step explanation:

No, the quotient depends on the specific numbers involved. The number of digits in the quotient is determined by the number of significant figures in the dividend and divisor. When performing division with a two-digit divisor and a three-digit dividend, the quotient can have either one or two digits, depending on the specific numbers. For example, if the divisor is 10 and the dividend is 200, the quotient will be 20, which has two digits. However, if the divisor is 99 and the dividend is 100, the quotient will be 1, which has only one digit.