Instructions
Answer the following questions by constructing clear arguments and justifying your results. Use the provided spaces to write your answers.
Question 1:
Consider the statement: "The sum of any two even numbers is always even." Construct an argument to prove this statement. Provide an example to justify your reasoning.
Question 2:
Evaluate the statement: "Every integer is either even or odd." Explain your reasoning and provide an example for each type of integer (even and odd) to support your claim.
Question 3:
Is the statement "The product of two odd numbers is odd" true or false? Construct an argument to support your answer, and include an example for clarification.
Question 4:
Discuss the following statement: "If a number is divisible by 4, then it is also divisible by 2." Create a logical argument that proves this statement is true, and illustrate it with an example.
Question 5:
Analyze the statement: "The area of a rectangle can be found by multiplying its length by its width." Justify this formula with a practical example, including dimensions and the calculated area.
Challenge Question:
Based on what you have learned, create your own mathematical statement and construct an argument to prove or disprove it. Provide examples to support your conclusion.