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The additive inverse of a negative integer
- a)is always negative
- b)is always positive
- c)is the same integer
- d)zero
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The additive inverse of a negative integera)is always negativeb)is alw...
Understanding Additive Inverse
The additive inverse of a number is what you add to that number to get zero. For any integer 'x', the additive inverse is '-x'.
Negative Integer Example
Consider a negative integer, for example, -5. The additive inverse of -5 is calculated as follows:
- Additive Inverse = -(-5) = 5
Thus, the additive inverse of a negative integer is always a positive integer.
Explanation of Options
Let's analyze the given options:
- a) Is always negative
- This is incorrect because the additive inverse of a negative integer is positive.
- b) Is always positive
- This is the correct answer. The additive inverse of any negative integer results in a positive integer.
- c) Is the same integer
- This option is incorrect. The additive inverse changes the sign, so it cannot be the same integer.
- d) Zero
- This is also incorrect. The additive inverse of a negative integer is not zero but a positive integer.
Conclusion
In conclusion, the additive inverse of a negative integer is always positive. This means that if you have a negative number and you take its additive inverse, you will always end up with a positive number, ensuring the sum equals zero when added together.
The additive inverse of a number is what you add to that number to get zero. For any integer 'x', the additive inverse is '-x'.
Negative Integer Example
Consider a negative integer, for example, -5. The additive inverse of -5 is calculated as follows:
- Additive Inverse = -(-5) = 5
Thus, the additive inverse of a negative integer is always a positive integer.
Explanation of Options
Let's analyze the given options:
- a) Is always negative
- This is incorrect because the additive inverse of a negative integer is positive.
- b) Is always positive
- This is the correct answer. The additive inverse of any negative integer results in a positive integer.
- c) Is the same integer
- This option is incorrect. The additive inverse changes the sign, so it cannot be the same integer.
- d) Zero
- This is also incorrect. The additive inverse of a negative integer is not zero but a positive integer.
Conclusion
In conclusion, the additive inverse of a negative integer is always positive. This means that if you have a negative number and you take its additive inverse, you will always end up with a positive number, ensuring the sum equals zero when added together.
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Community Answer
The additive inverse of a negative integera)is always negativeb)is alw...
Let −a be the negative integer.
Thus its additive inverse becomes −(−a) which is equal to a.
Hence additive inverse of a negative integer is always positive.
Option B is right.
Thus its additive inverse becomes −(−a) which is equal to a.
Hence additive inverse of a negative integer is always positive.
Option B is right.
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The additive inverse of a negative integera)is always negativeb)is always positivec)is the same integerd)zeroCorrect answer is option 'B'. 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 The additive inverse of a negative integera)is always negativeb)is always positivec)is the same integerd)zeroCorrect answer is option 'B'. 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 The additive inverse of a negative integera)is always negativeb)is always positivec)is the same integerd)zeroCorrect answer is option 'B'. Can you explain this answer?.
The additive inverse of a negative integera)is always negativeb)is always positivec)is the same integerd)zeroCorrect answer is option 'B'. 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 The additive inverse of a negative integera)is always negativeb)is always positivec)is the same integerd)zeroCorrect answer is option 'B'. 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 The additive inverse of a negative integera)is always negativeb)is always positivec)is the same integerd)zeroCorrect answer is option 'B'. Can you explain this answer?.
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