What Is The Expression And Value Of six Less Than The Quotient Of A Number And Two, Increased By Ten When $n = 20$?A. $\frac{n}{2} - 6 + 10$; When $n = 20$, The Value Is 14.B. $6 - \frac{\pi}{2} + 10$; When

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What is the Expression and Value of "Six Less than the Quotient of a Number and Two, Increased by Ten" When n = 20?

Understanding the Problem

The given expression is "six less than the quotient of a number and two, increased by ten." This can be translated into a mathematical expression as follows:

n2−6+10\frac{n}{2} - 6 + 10

where n is the number.

Breaking Down the Expression

To understand the expression, let's break it down into smaller parts:

  1. Quotient of a number and two: This means dividing the number (n) by 2.
  2. Six less than the quotient: This means subtracting 6 from the quotient obtained in step 1.
  3. Increased by ten: This means adding 10 to the result obtained in step 2.

Evaluating the Expression for n = 20

Now, let's evaluate the expression for n = 20:

202−6+10\frac{20}{2} - 6 + 10

  1. Quotient of 20 and two: $\frac{20}{2} = 10$
  2. Six less than the quotient: $10 - 6 = 4$
  3. Increased by ten: $4 + 10 = 14$

Therefore, the value of the expression when n = 20 is 14.

Comparison with the Given Options

Let's compare the evaluated expression with the given options:

A. $\frac{n}{2} - 6 + 10$; when $n = 20$, the value is 14.

This option matches the evaluated expression and the value obtained when n = 20.

B. $6 - \frac{\pi}{2} + 10$; when $n = 20$, the value is not relevant to the expression.

This option does not match the evaluated expression and is not relevant to the problem.

Conclusion

In conclusion, the expression "six less than the quotient of a number and two, increased by ten" when n = 20 is $\frac{n}{2} - 6 + 10$, and the value is 14.

Key Takeaways

  • The expression can be translated into a mathematical expression as $\frac{n}{2} - 6 + 10$.
  • The expression can be broken down into smaller parts to understand its meaning.
  • The value of the expression when n = 20 is 14.

Common Mistakes

  • Misinterpreting the expression and translating it incorrectly.
  • Not breaking down the expression into smaller parts to understand its meaning.
  • Not evaluating the expression for the given value of n.

Real-World Applications

  • The expression can be used in real-world scenarios where a number needs to be divided by 2, and then 6 needs to be subtracted from the result, and finally, 10 needs to be added to the result.
  • The expression can be used in mathematical problems where a number needs to be manipulated using basic arithmetic operations.

Tips and Tricks

  • Always break down complex expressions into smaller parts to understand their meaning.
  • Always evaluate expressions for the given values of variables.
  • Always compare the evaluated expression with the given options to ensure accuracy.
    Q&A: Understanding the Expression and Value of "Six Less than the Quotient of a Number and Two, Increased by Ten"

Frequently Asked Questions

Q: What is the expression "six less than the quotient of a number and two, increased by ten" in mathematical terms?

A: The expression can be translated into a mathematical expression as $\frac{n}{2} - 6 + 10$, where n is the number.

Q: How do I break down the expression to understand its meaning?

A: To break down the expression, follow these steps:

  1. Quotient of a number and two: Divide the number (n) by 2.
  2. Six less than the quotient: Subtract 6 from the quotient obtained in step 1.
  3. Increased by ten: Add 10 to the result obtained in step 2.

Q: How do I evaluate the expression for a given value of n?

A: To evaluate the expression for a given value of n, follow these steps:

  1. Quotient of n and two: Divide n by 2.
  2. Six less than the quotient: Subtract 6 from the quotient obtained in step 1.
  3. Increased by ten: Add 10 to the result obtained in step 2.

Q: What is the value of the expression when n = 20?

A: The value of the expression when n = 20 is 14.

Q: How do I compare the evaluated expression with the given options?

A: To compare the evaluated expression with the given options, follow these steps:

  1. Evaluate the expression: Evaluate the expression for the given value of n.
  2. Compare with options: Compare the evaluated expression with the given options to ensure accuracy.

Q: What are some common mistakes to avoid when working with this expression?

A: Some common mistakes to avoid when working with this expression include:

  • Misinterpreting the expression and translating it incorrectly.
  • Not breaking down the expression into smaller parts to understand its meaning.
  • Not evaluating the expression for the given value of n.

Q: What are some real-world applications of this expression?

A: Some real-world applications of this expression include:

  • Using the expression in mathematical problems where a number needs to be manipulated using basic arithmetic operations.
  • Using the expression in real-world scenarios where a number needs to be divided by 2, and then 6 needs to be subtracted from the result, and finally, 10 needs to be added to the result.

Q: What are some tips and tricks for working with this expression?

A: Some tips and tricks for working with this expression include:

  • Always break down complex expressions into smaller parts to understand their meaning.
  • Always evaluate expressions for the given values of variables.
  • Always compare the evaluated expression with the given options to ensure accuracy.

Conclusion

In conclusion, the expression "six less than the quotient of a number and two, increased by ten" can be translated into a mathematical expression as $\frac{n}{2} - 6 + 10$, where n is the number. By breaking down the expression into smaller parts and evaluating it for a given value of n, we can understand its meaning and value.