Respuesta :
By using the expanded form of a number, it can be concluded that
Difference between a three digit positive integer with all digits distinct and its reverse is surely divisible by 1, 3, 9, 11, 33, 99
What is expanded form of a number?
Every number can be written as a sum of the place value of its digit. This is known as expanded form of a number
Let the three digit positive integer be n = abc where a, b and c are distinct positive integers
n can be written as 100a + 10b + c
Its reverse is n' = cba
n' can be written as 100c + 10b + a
Difference between the number and its reverse
= 100a + 10b + c - 100c - 10b -a
= 99a - 99c
= 99(a - c)
= Since a and c are distinct, a - c [tex]\neq[/tex] 0
Difference between a three digit positive integer with all digits distinct and its reverse is surely divisible by 1, 3, 9, 11, 33, 99
To learn more about expanded form of a number, refer to the link-
https://brainly.com/question/16802852
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