Question

CC divides a number by 10. Then she divides the same number by 50. Which quotient is greater? How can you tell?

A) The quotient when dividing by 10 is greater.
B) The quotient when dividing by 50 is greater.
C) Both quotients are equal.
D) You cannot determine which quotient is greater based on the information provided.

Answer 1

Dividing a number by 10 results in a greater quotient than dividing the same number by 50 because 10 is a smaller divisor than 50, which distributes the number into fewer parts.

Step-by-step explanation:

When CC divides a number by 10, she gets a certain quotient. Dividing the same number by 50 will result in a different quotient. To determine which quotient is greater, consider the divisors 10 and 50. Dividing by a smaller number gives a larger quotient because the divisor is shared among fewer parts. Conversely, dividing by a larger number gives a smaller quotient because the divisor is shared among more parts. Since 10 is smaller than 50, the quotient when dividing by 10 will be greater than the quotient when dividing by 50.