Describe two different ways that you could find the product 8x997 using mental math. Find the product and explain why your methods work

One way could be doing 1000*8=8000 and then 8*3=24 1000-24=7976 because 1000-3=997.

Another way is 10*997=9970 then 997*2=1994 and 9970-1994=7976 this works because 10-2=8 and since it's 8 * you can subtract