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Which of the following is a correct-statement?
- a)cube of a negative number is always positive.
- b)cube of a negative number is always negative.
- c)cube of a negative number may be positive or negative.
- d)all of the above.
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Which of the following is a correct-statement?a)cube of a negative num...
The correct statement is option 'c': The cube of a negative number may be positive or negative.
Explanation:
- A cube of a number is obtained by multiplying the number three times.
- When we cube a positive number, the result is always positive.
- However, when we cube a negative number, the result can be either positive or negative, depending on the number itself.
- Let's consider a few examples:
Example 1: Cube of -2
- (-2) x (-2) x (-2) = -8
- Here, the cube of -2 is negative.
Example 2: Cube of -3
- (-3) x (-3) x (-3) = -27
- Again, the cube of -3 is negative.
Example 3: Cube of -1
- (-1) x (-1) x (-1) = -1
- In this case, the cube of -1 is also negative.
Example 4: Cube of -4
- (-4) x (-4) x (-4) = -64
- Once again, the cube of -4 is negative.
Conclusion:
- From the above examples, we can see that the cube of a negative number can be negative.
- Therefore, option 'c': The cube of a negative number may be positive or negative, is the correct statement.
Explanation:
- A cube of a number is obtained by multiplying the number three times.
- When we cube a positive number, the result is always positive.
- However, when we cube a negative number, the result can be either positive or negative, depending on the number itself.
- Let's consider a few examples:
Example 1: Cube of -2
- (-2) x (-2) x (-2) = -8
- Here, the cube of -2 is negative.
Example 2: Cube of -3
- (-3) x (-3) x (-3) = -27
- Again, the cube of -3 is negative.
Example 3: Cube of -1
- (-1) x (-1) x (-1) = -1
- In this case, the cube of -1 is also negative.
Example 4: Cube of -4
- (-4) x (-4) x (-4) = -64
- Once again, the cube of -4 is negative.
Conclusion:
- From the above examples, we can see that the cube of a negative number can be negative.
- Therefore, option 'c': The cube of a negative number may be positive or negative, is the correct statement.
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Which of the following is a correct-statement?a)cube of a negative number is always positive.b)cube of a negative number is always negative.c)cube of a negative number may be positive or negative.d)all of the above.Correct answer is option 'B'. Can you explain this answer?
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