Problem 56 Evaluate. \(n-2 m,\) for \(m=6... [FREE SOLUTION]

Chapter 15: Problem 56

Evaluate. \(n-2 m,\) for \(m=6\) and \(n=11\)

Short Answer

Expert verified

The value is -1.

Step by step solution

- Substitute Values

Start by substituting the given values of the variables into the expression. Here, replace \(m\) with 6 and \(n\) with 11 in the expression \(n - 2m\). This makes the expression \(11 - 2(6)\).

- Perform Multiplication

Next, perform the multiplication part of the expression. Multiply 2 by 6 to get 12. Now the expression is \(11 - 12\).

- Perform Subtraction

Finally, subtract 12 from 11. This gives you the result of \(11 - 12 = -1\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

headline of the respective core concept

Let's start by understanding the concept of substitution. In algebra, substitution involves replacing variables with their given values. This is a crucial step when evaluating expressions because it transforms the expression into a numerical form.
For example, if we have the expression \(n - 2m\) and we are given the values \(m = 6\) and \(n = 11\), substitution means you replace \(m\) with 6 and \(n\) with 11.
By doing this, the expression changes to \(11 - 2(6)\). Now, we have a simpler expression with only numbers, making it easier to solve.

headline of the respective core concept

Next, let鈥檚 move on to multiplication, another fundamental operation in algebra. Multiplication in this context refers to multiplying the constants and variables together after substitution.
In our example expression \(11 - 2(6)\), we multiply the number 2 by 6. Performing this operation, we get \(2 \times 6 = 12\).
Now our expression updates to \(11 - 12\). Understanding how to correctly perform multiplication ensures you simplify expressions correctly.

Remember, multiplication should always be done before addition or subtraction unless parentheses indicate otherwise.

headline of the respective core concept

Finally, let's discuss subtraction. Subtraction is the process of taking one number away from another. In our example, we need to subtract 12 from 11.
Using our updated expression \(11 - 12\), we perform the subtraction by simply taking 12 away from 11. This can often involve dealing with negative numbers.
Here, the result of \(11 - 12\) is \(-1\). This means we have one less than zero.

Always check your work by re-evaluating the subtraction if needed, ensuring you've correctly followed all order of operations.

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91影视

Evaluate. \(n-2 m,\) for \(m=6\) and \(n=11\)

Short Answer

Step by step solution

- Substitute Values

- Perform Multiplication

- Perform Subtraction

Key Concepts

headline of the respective core concept

headline of the respective core concept

headline of the respective core concept

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