Answer :
To solve the question of determining which statement is correctly written as a conditional statement, we need to analyze the given options, focusing on the correct structure of a conditional statement, which typically follows the "If ..., then ..." format.
We start by examining each option:
1. "When a number is even, it is divisible by 2."
- This statement makes a valid logical point but does not follow the typical "If ..., then ..." format explicitly required for a conditional statement.
2. "Because a number is divisible by 2, it is even."
- This statement is stating the reverse implication; it claims that being divisible by 2 causes the number to be even. This is logically correct but does not fit the conditional structure where the hypothesis precedes the implication clearly.
3. "If a number is even, then it is divisible by 2."
- This statement accurately follows the "If ..., then ..." format of a conditional statement. It clearly sets the condition (a number being even) and states the resulting fact (the number being divisible by 2).
4. "A number is even when it is divisible by 2."
- This statement, while also logically correct, uses "when" instead of "if" in the format of a conditional statement, deviating from the "If ..., then ..." structure.
Given these analyses, the statement:
"If a number is even, then it is divisible by 2"
is the only one that correctly follows the prescribed "If ..., then ..." conditional format.
Therefore, the answer to the question, which statement is correctly written as a conditional statement, is:
Option 2: If a number is even, then it is divisible by 2.
We start by examining each option:
1. "When a number is even, it is divisible by 2."
- This statement makes a valid logical point but does not follow the typical "If ..., then ..." format explicitly required for a conditional statement.
2. "Because a number is divisible by 2, it is even."
- This statement is stating the reverse implication; it claims that being divisible by 2 causes the number to be even. This is logically correct but does not fit the conditional structure where the hypothesis precedes the implication clearly.
3. "If a number is even, then it is divisible by 2."
- This statement accurately follows the "If ..., then ..." format of a conditional statement. It clearly sets the condition (a number being even) and states the resulting fact (the number being divisible by 2).
4. "A number is even when it is divisible by 2."
- This statement, while also logically correct, uses "when" instead of "if" in the format of a conditional statement, deviating from the "If ..., then ..." structure.
Given these analyses, the statement:
"If a number is even, then it is divisible by 2"
is the only one that correctly follows the prescribed "If ..., then ..." conditional format.
Therefore, the answer to the question, which statement is correctly written as a conditional statement, is:
Option 2: If a number is even, then it is divisible by 2.