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
