Do the quotients always have the same number of digits when dividing 3-digit numbers by 1-digit numbers? Why?

The answer is No.

example: 495/9=55

Step-by-step explanation:

No, the quotients does not always have the same number of digits when dividing 3-digit numbers by 1-digit numbers.

since let us consider a three digit number as: 495

on dividing this number by a single digit number i. e. 9 we get the quotient as 55; which is not a three digit number.

i. e. 495/9=55

Hence, the following statement is false.

Not in all cases.

Step-by-step explanation:

It depends on the values of the 3-digit and 1-digit number given.

For example, dividing 462 by 2 gives 231 which is a 3-digit quotient. Also, dividing the same 462 by 6 gives 77.

In a nut shell, sometimes the quotient might be the same and some times not the same. It is determined by the values of the 3-digit and 1-digit required.