Quotient of ten and a number

Oct 13, 2025 by magicalceylontours.com 118 views

Understanding the Problem

The given expression is a mathematical statement that involves several operations: division, subtraction, and addition. To find the value of the expression when $$n=2$$, we need to follow the order of operations (PEMDAS) and evaluate the expression step by step.

Breaking Down the Expression

The expression can be broken down into three main parts:

Quotient of ten and a number: This is the result of dividing 10 by a number, which is represented by the variable $$n$$. In this case, $$n=2$$, so the quotient is $$\frac{10}{2}=5$$.
Three less than the quotient: This means subtracting 3 from the quotient obtained in the previous step. So, $$5-3=2$$.
Increased by six: This means adding 6 to the result obtained in the previous step. So, $$2+6=8$$.

Evaluating the Expression

Now that we have broken down the expression into its three main parts, we can evaluate it step by step:

Quotient of ten and a number: $$\frac{10}{2}=5$$
Three less than the quotient: $$5-3=2$$
Increased by six: $$2+6=8$$

Therefore, the value of the expression "three less than the quotient of ten and a number, increased by six" when $$n=2$$ is 8.

Conclusion

In this article, we have evaluated the expression "three less than the quotient of ten and a number, increased by six" when $$n=2$$. We have broken down the expression into its three main parts and evaluated it step by step using the order of operations (PEMDAS). The final answer is 8, which is the value of the expression when $$n=2$$.

Frequently Asked Questions

What is the value of the expression "three less than the quotient of ten and a number, increased by six" when $$n=2$$?
How do we evaluate the expression "three less than the quotient of ten and a number, increased by six"?
What is the order of operations (PEMDAS) and how do we use it to evaluate expressions?

Step-by-Step Solution

Quotient of ten and a number: $$\frac{10}{2}=5$$
Three less than the quotient: $$5-3=2$$
Increased by six: $$2+6=8$$

Final Answer

The final answer is 8.

References

[1] Khan Academy. (n.d.). Order of Operations. Retrieved from <https://www.khanacademy.org/math/algebra/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6f7d/x2f6

Frequently Asked Questions

Q: What is the value of the expression "three less than the quotient of ten and a number, increased by six" when $$n=2$$?

A: The value of the expression is 8.

Q: How do we evaluate the expression "three less than the quotient of ten and a number, increased by six"?

A: To evaluate the expression, we need to follow the order of operations (PEMDAS) and break down the expression into its three main parts: quotient, subtraction, and addition.

Q: What is the order of operations (PEMDAS)?

A: The order of operations (PEMDAS) is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The acronym PEMDAS stands for:

Parentheses: Evaluate expressions inside parentheses first.
Exponents: Evaluate any exponential expressions next.
Multiplication and Division: Evaluate any multiplication and division operations from left to right.
Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: How do we apply the order of operations to the expression "three less than the quotient of ten and a number, increased by six"?

A: To apply the order of operations, we need to follow the steps below:

Evaluate the expression inside the parentheses: $$\frac{10}{2}=5$$
Subtract 3 from the result: $$5-3=2$$
Add 6 to the result: $$2+6=8$$

Q: What is the final answer to the expression "three less than the quotient of ten and a number, increased by six"?

A: The final answer is 8.

Q: Can you provide a step-by-step solution to the expression "three less than the quotient of ten and a number, increased by six"?

A: Here is a step-by-step solution:

Quotient of ten and a number: $$\frac{10}{2}=5$$
Three less than the quotient: $$5-3=2$$
Increased by six: $$2+6=8$$

Q: What are some related topics to the expression "three less than the quotient of ten and a number, increased by six"?

A: Some related topics include:

Order of operations (PEMDAS)
Evaluating expressions
Algebraic expressions

Q: Where can I find more information on the order of operations (PEMDAS)?

A: You can find more information on the order of operations (PEMDAS) on websites such as Khan Academy, Mathway, and Wolfram Alpha.

Conclusion

In this Q&A article, we have answered some frequently asked questions about the expression "three less than the quotient of ten and a number, increased by six". We have also provided a step-by-step solution to the expression and discussed some related topics. If you have any more questions, feel free to ask!