16,727 views
32 votes
32 votes
Divisibility rules for 3 and 9 answers the questions below

Divisibility rules for 3 and 9 answers the questions below-example-1
User Christos Koninis
by
2.4k points

1 Answer

23 votes
23 votes

Step-by-step explanation:

Required;

We are required to identify which of the numbers are divisible by 3 and 9 while stating the rules of divisibility.

Step-by-step solution;

For a number to be divisible by 3, then the sum of the digits making up that number must be divisible by 3.

Hence, we have for 3;


\begin{gathered} 2+7+4=13 \\ \\ 4+7+3=14 \\ \\ 4+7+0=11 \end{gathered}

13 is not divisible by 3.

14 is not divisible by 3 and

11 is not divisible by 3.

Also, for a number to be divisible by 9, the sum of its digits should be divisible by 9.

Hence, we have for 9;


\begin{gathered} 2+7+4=13 \\ \\ 4+7+3=14 \\ \\ 4+7+0=11 \end{gathered}

None of these is divisible by 9.

Therefore,

ANSWER:


\begin{gathered} (a)\text{ }None\text{ }of\text{ }these \\ \\ (b)\text{ }None\text{ }of\text{ }these \end{gathered}

User Jszpila
by
3.3k points