To find out how many pencils each student will get if Mr. Rodriguez divides 46 pencils among 6 students, you can perform a division:
\[ 46 \div 6 = 7 \quad \text{(each student gets 7 pencils)} \]
To find out how many pencils are left over after giving each student 7 pencils, you can calculate:
\[ 7 \times 6 = 42 \quad \text{(total pencils given to students)} \] \[ 46 - 42 = 4 \quad \text{(pencils left over)} \]
Thus, each student will get 7 pencils, and there will be 4 pencils left over.
So, the correct response is: Each student will get 7 pencils. There will be 4 pencils left over.