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Identify the conclusion of the following conditional:
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.

a. The number is odd.
b. If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
c. The number is divisible by 3.
d. The sum of the digits of the number is divisible by 3.

Respuesta :

meerkat18
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.This statement is a conditional statement. However, it is not in its standard form. A conditional statement is known as an If-then statement.

It should be written as:

If the sum of the digits of the number is divisible by 3 then a number is divisible by 3.

There are two parts of a conditional statement. The first part is the hypothesis, the second part is the conclusion. The hypothesis starts with "if". The conclusion starts with "then".

The conclusion of the conditional statement is THEN A NUMBER IS DIVISIBLE BY 3.
danielmaduroh

As the name implies, the conditional operator creates a compound statement that sets up a condition for something to be true. In this way, if the condition is met, the statement is true.

The symbol is the Horseshoe or arrow →

The parts of conditional are two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent. So, we can write the option b as follows:

A: The sum of the digits of a number is divisible by 3

B: the number is divisible by 3.

A→B = If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

The problem asks for the conclusion of the statement, that is, the consequent, so the right answer is:

c. The number is divisible by 3.



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