Problem 217 Simplify each expression. $$ ... [FREE SOLUTION]

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Chapter 1: Problem 217

Simplify each expression. $$ 19+2(-3+8) $$

Short Answer

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Step by step solution

Simplify the Expression Inside the Parentheses

Begin by simplifying the expression within the parentheses. Calculate \[ -3 + 8 = 5 \]

Multiply Outside the Parentheses

Next, multiply the result by 2 to get \[ 2 \times 5 = 10 \]

Add the Result to the Remaining Term

Finally, add 19 to the result. So, \[ 19 + 10 = 29 \]

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Key Concepts

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

Simplifying Expressions

Simplifying expressions means making them easier to understand or solve. You want to break down complex expressions into simpler parts. This often involves combining like terms, performing arithmetic operations, and following certain rules. For example, in the expression 19 + 2(-3 + 8), you need to handle the parentheses first.After that, you perform multiplication and finally addition. Simplifying makes it easier to see the solution clearly. Remember, the goal is to reduce the expression to its simplest form while maintaining equality.

Order of Operations

The order of operations is a critical concept in algebra. It tells us the sequence in which to perform operations in a mathematical expression. Remember the acronym PEMDAS:

P: Parentheses first
E: Exponents (i.e., powers and roots, etc.)
MD: Multiplication and Division (from left to right)
AS: Addition and Subtraction (from left to right)

In the expression 19 + 2(-3 + 8), you start with the parentheses, then handle the multiplication, and finally finish with addition. Following the order of operations ensures that you get the correct answer every time.

Parentheses

Parentheses are brackets that are used to group parts of an expression. When you see parentheses, always evaluate the expression inside them first. In our example, 19 + 2(-3 + 8), you handle the (-3 + 8) part first. Parentheses can change the order of operations in an expression. They make sure that specific parts are calculated before others.

For instance, (-3 + 8) is simplified to 5. Only after dealing with the parentheses do you move on to the next operations. This is why parentheses are so important鈥攖hey guide you on where to start in complex expressions. Always look for and resolve parentheses before moving on to other operations.

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91影视

Simplify each expression. $$ 19+2(-3+8) $$

Short Answer

Step by step solution

Simplify the Expression Inside the Parentheses

Multiply Outside the Parentheses

Add the Result to the Remaining Term

Key Concepts

Simplifying Expressions

Order of Operations

Parentheses

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