Which Of The Following Gives The Correct Possible Values Of $/$ For $n=4$?A. $0, 1, 2, 3$B. $-4, -3, -2, -1, 0, 1, 2, 3, 4$C. $0, 1, 2, 3, 4$

Possible Values of n/4 for n=4: A Comprehensive Analysis

In mathematics, the concept of possible values of a variable is crucial in understanding various mathematical operations and functions. When dealing with fractions, it's essential to determine the possible values of the numerator divided by the denominator. In this article, we will explore the possible values of n/4 for n=4, examining the given options and providing a detailed analysis.

The problem asks for the possible values of n/4 when n=4. To solve this, we need to substitute n=4 into the expression n/4 and evaluate the result. This will give us the possible values of the expression.

Option A: 0, 1, 2, 3

Option A suggests that the possible values of n/4 for n=4 are 0, 1, 2, and 3. To evaluate this option, we need to substitute n=4 into the expression n/4 and calculate the result.

n = 4
result = n / 4
print(result)

When we run this code, we get the result 1.0. This means that when n=4, the value of n/4 is 1, not 0, 1, 2, or 3. Therefore, option A is incorrect.

Option B: -4, -3, -2, -1, 0, 1, 2, 3, 4

Option B suggests that the possible values of n/4 for n=4 are -4, -3, -2, -1, 0, 1, 2, 3, and 4. To evaluate this option, we need to consider the possible values of n/4 when n is an integer.

When n is an integer, the possible values of n/4 are determined by the integer division of n by 4. This means that the possible values of n/4 are the integers that can be obtained by dividing n by 4.

For n=4, the possible values of n/4 are 1, since 4 divided by 4 is 1. However, option B includes negative values, which are not possible when n is a positive integer.

Therefore, option B is also incorrect.

Option C: 0, 1, 2, 3, 4

Option C suggests that the possible values of n/4 for n=4 are 0, 1, 2, 3, and 4. To evaluate this option, we need to consider the possible values of n/4 when n is an integer.

As mentioned earlier, when n is an integer, the possible values of n/4 are determined by the integer division of n by 4. This means that the possible values of n/4 are the integers that can be obtained by dividing n by 4.

For n=4, the possible values of n/4 are indeed 1, since 4 divided by 4 is 1. However, option C also includes 0, 2, 3, and 4, which are not possible values of n/4 when n is a positive integer.

But, we can also consider the case when n is not a positive integer. In this case, the possible values of n/4 are not limited to the integers that can be obtained by dividing n by 4.

For example, if n is a negative integer, the possible values of n/4 are also negative integers. In this case, the possible values of n/4 for n=4 are indeed -1, 0, 1, 2, 3, and 4.

Therefore, option C is the correct answer.

In conclusion, the possible values of n/4 for n=4 are indeed 0, 1, 2, 3, and 4. This is because when n is a negative integer, the possible values of n/4 are also negative integers. Therefore, option C is the correct answer.

The final answer is option C: 0, 1, 2, 3, 4.
Q&A: Possible Values of n/4 for n=4

In our previous article, we explored the possible values of n/4 for n=4 and concluded that the correct answer is option C: 0, 1, 2, 3, 4. However, we also mentioned that this answer is valid only when n is a negative integer. In this article, we will provide a Q&A section to address some common questions and concerns related to this topic.

Q: What are the possible values of n/4 for n=4 when n is a positive integer?

A: When n is a positive integer, the possible values of n/4 are determined by the integer division of n by 4. In this case, the possible values of n/4 for n=4 are indeed 1, since 4 divided by 4 is 1.

Q: Why is option A incorrect?

A: Option A suggests that the possible values of n/4 for n=4 are 0, 1, 2, and 3. However, when we substitute n=4 into the expression n/4, we get the result 1.0, not 0, 1, 2, or 3. Therefore, option A is incorrect.

Q: Why is option B incorrect?

A: Option B suggests that the possible values of n/4 for n=4 are -4, -3, -2, -1, 0, 1, 2, 3, and 4. However, when n is a positive integer, the possible values of n/4 are determined by the integer division of n by 4. In this case, the possible values of n/4 for n=4 are indeed 1, not -4, -3, -2, -1, or 0.

Q: What about the case when n is a negative integer?

A: When n is a negative integer, the possible values of n/4 are also negative integers. In this case, the possible values of n/4 for n=4 are indeed -1, 0, 1, 2, 3, and 4.

Q: Why is option C correct?

A: Option C suggests that the possible values of n/4 for n=4 are 0, 1, 2, 3, and 4. As we mentioned earlier, when n is a negative integer, the possible values of n/4 are also negative integers. In this case, the possible values of n/4 for n=4 are indeed -1, 0, 1, 2, 3, and 4. Therefore, option C is the correct answer.

Q: What is the final answer?

A: The final answer is option C: 0, 1, 2, 3, 4.

In conclusion, the possible values of n/4 for n=4 are indeed 0, 1, 2, 3, and 4. This is because when n is a negative integer, the possible values of n/4 are also negative integers. We hope that this Q&A section has addressed some common questions and concerns related to this topic.

The final answer is option C: 0, 1, 2, 3, 4.