Dr. Mento has a class of 80 students. For a group project, he wants to divide the students into groups of 6,8 or 10. Is this possible? Explain your answer.
Yes. For an explanation of why, try dividing 80 by each of those numbers and see you get a remainder.
yes he can divide them into groups of 8 and 10 but not 6 because you get a remainder.
To determine whether it is possible to divide 80 students into groups of 6, 8, or 10, we need to check if any of these numbers can divide 80 without leaving a remainder.
Let's start with 6. To check if 6 can divide 80, we need to see if the remainder when 80 is divided by 6 is zero. We divide 80 by 6:
80 ÷ 6 = 13 remainder 2
Since we have a remainder of 2, 6 does not divide 80 evenly. So, dividing the students into groups of 6 is not possible.
Now, let's move on to 8. We divide 80 by 8:
80 ÷ 8 = 10 remainder 0
The remainder is 0, which means 8 can divide 80 evenly. So, dividing the students into groups of 8 is possible.
Lastly, let's check for groups of 10. We divide 80 by 10:
80 ÷ 10 = 8 remainder 0
Again, we have a remainder of 0, meaning 10 can divide 80 evenly. So, dividing the students into groups of 10 is possible.
In conclusion, Dr. Mento can divide his class of 80 students into groups of 8 or 10.