99! (factorial of 99) equals 99 x 98 x 97 x ... x 2 x 1.98! (factorial of 98) equals 98 x 97 x ... x 2 x 1.
Therefore,99! - 98! = 99 x 98 x 97 x ... x 2 x 1 - 98 x 97 x ... x 2 x 1= 98 x 97 x ... x 2 x 1 (99 - 1)= 98! (98)
So, 99! - 98! = 98! x 98 = 98! x 10^2 = 98! x 100.
I hope this helps! Let me know if you have any further questions.
99! (factorial of 99) equals 99 x 98 x 97 x ... x 2 x 1.
98! (factorial of 98) equals 98 x 97 x ... x 2 x 1.
Therefore,
99! - 98! = 99 x 98 x 97 x ... x 2 x 1 - 98 x 97 x ... x 2 x 1
= 98 x 97 x ... x 2 x 1 (99 - 1)
= 98! (98)
So, 99! - 98! = 98! x 98 = 98! x 10^2 = 98! x 100.
I hope this helps! Let me know if you have any further questions.