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A statement is a ..... sentence....

A statement is a ..... sentence.

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To solve the question "A statement is a ..... sentence," we need to identify the type of sentence that a statement represents in the context of mathematical reasoning. Here’s a step-by-step solution: ### Step 1: Understand the Types of Sentences In language, sentences can be categorized into different types based on their function. The main types include: - **Interrogative sentences:** These ask questions. - **Imperative sentences:** These give commands or requests. - **Exclamatory sentences:** These express strong emotion. - **Declarative sentences:** These make statements or express facts. ### Step 2: Identify the Nature of a Statement In mathematical reasoning, a statement is a sentence that can be classified as either true or false. It represents a fact or assertion about a certain condition or situation. ### Step 3: Relate Statements to Declarative Sentences Since a statement expresses a fact and can be evaluated as true or false, it aligns with the definition of a declarative sentence. A declarative sentence is one that makes a declaration or assertion. ### Step 4: Conclude the Type of Sentence Based on the above understanding, we conclude that: A statement is a **declarative sentence**. ### Final Answer A statement is a declarative sentence. ---
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