Question

20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Answer:

First 4-digit multiple of 5 is 1000. It is the least 4-digit number and it is multiple of 5.

Last 4-digit number is 9999 which is not a multiple of 5 and so are 9998, 9997, 9996. Largest 4-digit number which is multiple of 5 is 9995.

Number of 4-digit multiples of 5  = 9995 − 1000 /5 + 1 = 8995/ 5 + 1 = 1799 + 1 = 1800

Step-by-step explanation:

A number  x  is said to be a multiple of number  n  if  n  divides the number  x

. One important observation is if  x  is a multiple of  n  then the next multiple of  n  is  x + n

. Hence the multiples of number  n  occur in differences of  n

Suppose  x  and  y  are multiples of  n

. Number of multiples of  n  between  x  and  y

including them is given by  y − x  / n + 1

Because for every n numbers in between  x  and  y  there is a multiple of  n