Final answer:
Dividing a number by 10 results in a greater quotient than dividing the same number by 50 because a smaller divisor yields a greater quotient. When the same number is divided by 10 and by 50, the quotient from dividing by 10 is larger.
Step-by-step explanation:
When CC divides a number by 10 and then divides the same number by 50, we can determine which quotient is greater by understanding division and the relationship between divisors.
Dividing by a smaller number (10 in this case) results in a greater quotient than dividing by a larger number (50). This is because the greater the divisor, the smaller the quotient when dividing the same number.
For example, if the number is 500, dividing by 10 yields:
500 / 10 = 50
While dividing by 50 yields:
500 / 50 = 10
Comparing the two quotients, 50 is greater than 10, illustrating that dividing by 10 gives a greater result than dividing by 50.