Write the additive inverse of 6/7.a)0b)6/7c)-6/7d)1Correct answer is '...
Yes, its -6/7 bcoz additive inverse of a number is that whose sum with original number is 0 . so [6/7+(-6/7)]=0
Write the additive inverse of 6/7.a)0b)6/7c)-6/7d)1Correct answer is '...
Understanding Additive Inverses
The additive inverse of a number is the value that, when added to the original number, results in zero.
Definition of Additive Inverse
- The additive inverse of a number \( x \) is expressed as \( -x \).
- For instance, if \( x = 6/7 \), then the additive inverse is \( -6/7 \).
Finding the Additive Inverse of 6/7
- Given the number \( 6/7 \), its additive inverse can be calculated as follows:
- \( -\frac{6}{7} \)
Evaluating the Options
- The question provides four answer choices:
- a) 0
- b) \( 6/7 \)
- c) \( -6/7 \)
- d) 1
- Among these options, the correct choice for the additive inverse of \( 6/7 \) is:
- c) \( -6/7 \)
Conclusion
- Therefore, the correct answer is not 'A' (0), as the additive inverse of any non-zero number cannot be zero. Instead, the correct answer is 'C' (\( -6/7 \)), as it fulfills the condition of resulting in zero when added to \( 6/7 \):
- \( 6/7 + (-6/7) = 0 \)
This understanding of additive inverses is crucial in algebra and helps in solving various mathematical problems efficiently.
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