Astudent had to multiply 328 x 41. the student’s answer was 4,598. use estimation to explain why this answer is not reasonable

Its not reasonable, here is why.

Grab a sheet of paper and follow along, write 328 x 41 and put 328 on top of 41.
multiply 8 x 1
multiply 2 x 1
multiply 3 x 1
multiply 8 x 4 which is 32
multiply 2 x 4 which is 8
multiply 3 x 4 which is 12
bring down the carry digit of 1
add 328 + 13120 which is 13448
or multiply 328 x 41 and u get 13448

The answer is not reasonable because its not the correct solution.

With a number of 328×41 and coming up with a answer of nearly 5,000 is not reasonable because just estimating it 300×10 is 3,000 so times that by 4 is 12,000. 

Logical equivalent of the give question is its contrapositive