Answer:
[tex]a) 5n\\b) 10n\\c) 3n[/tex]
Step-by-step 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:
[tex]n \times p[/tex]
When divided by 'p' :
[tex]\dfrac{q}{p} = \dfrac{n \times p}{p}\\\Rightarrow \dfrac{q}{p} = n[/tex]
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:
[tex]5n[/tex]
b) Using 'n' as the variable, a number that is divisible by 10 can be written as:
[tex]10n[/tex]
c) Using 'n' as the variable, a number that is divisible by 3 can be written as:
[tex]3n[/tex]