Which Description Can Be Written As The Expression N 4 − 13 \frac{n}{4} - 13 4 N ​ − 13 ?A. Joel Wants To Find The Quotient Of A Number And Four, Minus Thirteen. B. Joel Wants To Find The Product Of Thirteen And The Quotient Of A Number. C. Joel Wants To Find

by ADMIN 262 views

Which Description Can Be Written as the Expression n413\frac{n}{4} - 13?

Understanding the Expression

The given expression is n413\frac{n}{4} - 13. This expression involves a fraction and a constant. To understand the expression, we need to break it down into its components. The fraction n4\frac{n}{4} represents the quotient of a number nn and four. The constant 13-13 is a negative value that is being subtracted from the quotient.

Analyzing the Options

Now, let's analyze the given options to determine which one can be written as the expression n413\frac{n}{4} - 13.

Option A: Joel wants to find the quotient of a number and four, minus thirteen.

This option directly matches the expression n413\frac{n}{4} - 13. The quotient of a number and four is represented by the fraction n4\frac{n}{4}, and the minus thirteen is represented by the constant 13-13. Therefore, this option can be written as the expression n413\frac{n}{4} - 13.

Option B: Joel wants to find the product of thirteen and the quotient of a number.

This option does not match the expression n413\frac{n}{4} - 13. The product of thirteen and the quotient of a number would be represented by the expression 13×n413 \times \frac{n}{4}, which is not the same as the given expression.

Option C: Joel wants to find the quotient of a number and four, plus thirteen.

This option does not match the expression n413\frac{n}{4} - 13. The quotient of a number and four, plus thirteen would be represented by the expression n4+13\frac{n}{4} + 13, which is not the same as the given expression.

Conclusion

Based on the analysis of the options, the correct description that can be written as the expression n413\frac{n}{4} - 13 is:

  • Option A: Joel wants to find the quotient of a number and four, minus thirteen.

This option directly matches the expression n413\frac{n}{4} - 13, and it provides a clear and concise description of the operation being performed.

Key Takeaways

  • The expression n413\frac{n}{4} - 13 involves a fraction and a constant.
  • The fraction n4\frac{n}{4} represents the quotient of a number nn and four.
  • The constant 13-13 is a negative value that is being subtracted from the quotient.
  • The correct description that can be written as the expression n413\frac{n}{4} - 13 is Option A: Joel wants to find the quotient of a number and four, minus thirteen.
    Frequently Asked Questions (FAQs) About the Expression n413\frac{n}{4} - 13

Q: What is the expression n413\frac{n}{4} - 13?

A: The expression n413\frac{n}{4} - 13 is a mathematical expression that involves a fraction and a constant. The fraction n4\frac{n}{4} represents the quotient of a number nn and four, and the constant 13-13 is a negative value that is being subtracted from the quotient.

Q: What does the fraction n4\frac{n}{4} represent?

A: The fraction n4\frac{n}{4} represents the quotient of a number nn and four. This means that the expression is asking for the result of dividing a number nn by four.

Q: What is the constant 13-13 in the expression?

A: The constant 13-13 is a negative value that is being subtracted from the quotient. This means that the expression is asking for the result of subtracting 13 from the quotient of a number nn and four.

Q: How can I simplify the expression n413\frac{n}{4} - 13?

A: To simplify the expression n413\frac{n}{4} - 13, you can combine the fraction and the constant by finding a common denominator. In this case, the common denominator is 4, so you can rewrite the expression as n413×44\frac{n}{4} - \frac{13 \times 4}{4}. This simplifies to n4524\frac{n}{4} - \frac{52}{4}, which can be further simplified to n524\frac{n - 52}{4}.

Q: What is the value of the expression n413\frac{n}{4} - 13 when n=20n = 20?

A: To find the value of the expression n413\frac{n}{4} - 13 when n=20n = 20, you can substitute n=20n = 20 into the expression. This gives you 20413\frac{20}{4} - 13, which simplifies to 5135 - 13. Therefore, the value of the expression when n=20n = 20 is 8-8.

Q: Can I rewrite the expression n413\frac{n}{4} - 13 in a different form?

A: Yes, you can rewrite the expression n413\frac{n}{4} - 13 in a different form by using a variable instead of a constant. For example, you can rewrite the expression as n4c\frac{n}{4} - c, where cc is a constant. This form is equivalent to the original expression, but it allows you to use a variable instead of a specific value.

Q: How can I use the expression n413\frac{n}{4} - 13 in a real-world problem?

A: The expression n413\frac{n}{4} - 13 can be used in a variety of real-world problems, such as calculating the cost of a product or the amount of time it takes to complete a task. For example, if you are calculating the cost of a product that costs $13 per unit, and you want to find the cost of 4 units, you can use the expression n413\frac{n}{4} - 13 to find the total cost.

Q: What are some common mistakes to avoid when working with the expression n413\frac{n}{4} - 13?

A: Some common mistakes to avoid when working with the expression n413\frac{n}{4} - 13 include:

  • Forgetting to simplify the expression by combining the fraction and the constant.
  • Using the wrong value for the constant.
  • Not checking the units of the expression to make sure they are consistent.
  • Not using the correct order of operations when simplifying the expression.

Q: How can I practice working with the expression n413\frac{n}{4} - 13?

A: You can practice working with the expression n413\frac{n}{4} - 13 by trying different values for the variable nn and simplifying the expression each time. You can also try using the expression in real-world problems to see how it can be applied in different contexts. Additionally, you can try simplifying the expression by combining the fraction and the constant, and then checking your answer to make sure it is correct.