Question

Using n for the variable, write an algebraic expression that represents a number that is divisible by the given number. (Hint: A number that is divisible by 2 could be written as 2n, where n is any integer.) a) divisible by 5 b) divisible by 10 c) divisible by 3

Answer 1

`a) 5n\\b) 10n\\c) 3n`

Explanation:

Let 'n' be any integer i.e. a number from the set {....., -3,-2,-1,0,1,2,3, ..... }

so 'n' can be termed as the variable here.

A number 'q' that can be divided by a a given number 'p' can be written as:

`n * p`

When divided by 'p' :

`(q)/(p) = (n * p)/(p)\\\Rightarrow (q)/(p) = n`

So, The number 'q' is completely divisible by 'p' leaving 'n' as the quotient.

Using this concept, let us solve the questions:

a) Using 'n' as the variable, a number that is divisible by 5 can be written as:

`5n`

b) Using 'n' as the variable, a number that is divisible by 10 can be written as:

`10n`

c) Using 'n' as the variable, a number that is divisible by 3 can be written as:

`3n`