Problem 113 In the following exercises, simp... [FREE SOLUTION]

Chapter 1: Problem 113

In the following exercises, simplify using the order of operations. $$ 2+8(6+1) $$

Short Answer

Expert verified

Step by step solution

- Evaluate Parentheses

First, solve the expression inside the parentheses. Here, inside the parentheses, we have (6 + 1). Evaluate this to get 7.

- Perform Multiplication

Next, we need to handle the multiplication. The expression now is 2 + 8 * 7. Multiply 8 and 7 to get 56.

- Perform Addition

Finally, add the result from the multiplication to 2. So, we have 2 + 56. Adding these together gives 58.

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Key Concepts

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

Simplifying Expressions

Simplifying expressions is about making a math problem easier to understand and solve. It's like cleaning up your room so you can find things easily.
To simplify an expression, you'll often combine like terms or perform operations in a specific order. This makes the math work easier and less cluttered.
Let's go through a simple example to get a better understanding. Take the problem: $2 + 8(6+1)$. We need to make this expression simpler by taking several steps.

Parentheses

Parentheses ( ) are used in math to group parts of an expression. They tell us what to calculate first, and they help to keep things organized.
In our example, we have the expression $6 + 1$ inside parentheses. According to the order of operations, we always deal with what's inside the parentheses first.
So, $6 + 1$ equals 7. Now, our expression looks cleaner: $2 + 8 \times 7$. It's important to remember that anything inside parentheses gets simplified before moving on to the next steps.

Multiplication

Multiplication comes next in the order of operations, after parentheses. In our simplified expression $2 + 8 \times 7$, we need to deal with the multiplication before anything else.
We multiply 8 by 7 to get 56. So now the expression changes from $2 + 8 \times 7$ to $2 + 56$. This step helps us get closer to the final answer.
Remember, ignoring the order of operations can lead to the wrong results. Always handle multiplication right after dealing with any parentheses.

Addition

Finally, we perform the addition. After dealing with parentheses and multiplication, we're left with a simpler expression: $2 + 56$.
Addition is the last step in our problem. Adding 2 and 56 gives us 58. That's the final answer. By following the order of operations correctly, we've simplified $2 + 8(6+1)$ step by step.
Understanding how to perform each part of the operation in order is key. Always simplify what's inside parentheses first, then handle multiplication, and finish with addition or subtraction.

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91影视

In the following exercises, simplify using the order of operations. $$ 2+8(6+1) $$

Short Answer

Step by step solution

- Evaluate Parentheses

- Perform Multiplication

- Perform Addition

Key Concepts

Simplifying Expressions

Parentheses

Multiplication

Addition

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