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Which of the following statements is CORRECT?
Statement 1: When a positive integer and a negative integer are added, we always get a negative integer.
Statement 2: When two negative integers are added, we get a positive integer.
Statement 1: When a positive integer and a negative integer are added, we always get a negative integer.
Statement 2: When two negative integers are added, we get a positive integer.
- a)Only Statement 1
- b)Only Statement 2
- c)Both Statement 1 and Statement 2
- d)Neither Statement 1 nor Statement 2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Which of the following statements is CORRECT?Statement 1: When a posit...
When a positive integer and a negative integer are added, we can get a positive or negative integer.
Therefore, statement 1 is false.
Therefore, statement 1 is false.
Fro example: −4 + 3 = −1 or 4 + (−3) = 1
And when two negative integers are added, we get a negative integer.
∴ Statement 2 is false.
And when two negative integers are added, we get a negative integer.
∴ Statement 2 is false.
For example: −3 + (−4) = −7
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Which of the following statements is CORRECT?Statement 1: When a posit...
Understanding the Statements
To determine the correctness of the given statements, let's analyze them one by one.
Statement 1: Positive and Negative Integer Addition
- When a positive integer (e.g., +5) and a negative integer (e.g., -3) are added, the result depends on their absolute values.
- If the positive integer is larger than the negative integer, the result will be positive (e.g., +5 + -3 = +2).
- If the negative integer is larger, the result will be negative (e.g., +3 + -5 = -2).
- Thus, Statement 1 is incorrect because we do not always get a negative integer.
Statement 2: Adding Two Negative Integers
- When two negative integers (e.g., -2 and -3) are added, the result is always negative.
- For example, -2 + -3 = -5.
- This means that the sum of two negative integers will never yield a positive integer.
- Therefore, Statement 2 is also incorrect.
Conclusion
- Both statements are incorrect based on the definitions of adding positive and negative integers.
- Thus, the correct answer is option 'D': Neither Statement 1 nor Statement 2 is correct.
Understanding these principles is essential for mastering integer operations in mathematics.
To determine the correctness of the given statements, let's analyze them one by one.
Statement 1: Positive and Negative Integer Addition
- When a positive integer (e.g., +5) and a negative integer (e.g., -3) are added, the result depends on their absolute values.
- If the positive integer is larger than the negative integer, the result will be positive (e.g., +5 + -3 = +2).
- If the negative integer is larger, the result will be negative (e.g., +3 + -5 = -2).
- Thus, Statement 1 is incorrect because we do not always get a negative integer.
Statement 2: Adding Two Negative Integers
- When two negative integers (e.g., -2 and -3) are added, the result is always negative.
- For example, -2 + -3 = -5.
- This means that the sum of two negative integers will never yield a positive integer.
- Therefore, Statement 2 is also incorrect.
Conclusion
- Both statements are incorrect based on the definitions of adding positive and negative integers.
- Thus, the correct answer is option 'D': Neither Statement 1 nor Statement 2 is correct.
Understanding these principles is essential for mastering integer operations in mathematics.
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Which of the following statements is CORRECT?Statement 1: When a positive integer and a negative integer are added, we always get a negative integer.Statement 2: When two negative integers are added, we get a positive integer.a)Only Statement 1b)Only Statement 2c)Both Statement 1and Statement 2d)Neither Statement 1nor Statement 2Correct answer is option 'D'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Which of the following statements is CORRECT?Statement 1: When a positive integer and a negative integer are added, we always get a negative integer.Statement 2: When two negative integers are added, we get a positive integer.a)Only Statement 1b)Only Statement 2c)Both Statement 1and Statement 2d)Neither Statement 1nor Statement 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is CORRECT?Statement 1: When a positive integer and a negative integer are added, we always get a negative integer.Statement 2: When two negative integers are added, we get a positive integer.a)Only Statement 1b)Only Statement 2c)Both Statement 1and Statement 2d)Neither Statement 1nor Statement 2Correct answer is option 'D'. Can you explain this answer?.
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