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Chapter 0: Problem 24

For exercises 1-80, evaluate. $$ (18-12) \div 2+1 $$

Short Answer

Expert verified
4

Step by step solution

01

- Calculate Inside the Parentheses

First, evaluate the expression inside the parentheses: \( (18 - 12) \) This simplifies to: \( 6 \)
02

- Division

Next, divide the result from step 1 by 2: \( 6 \div 2 \) This simplifies to: \( 3 \)
03

- Addition

Finally, add 1 to the result from step 2: \( 3 + 1 \) This simplifies to: \( 4 \)

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Key Concepts

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

Parentheses
When working with algebraic expressions, understanding parentheses is crucial. Parentheses help group parts of the expression that should be calculated first. In our given problem, we start with: \((18 - 12) \div 2 + 1\).
According to the order of operations, remember the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Parentheses always come first. So, we calculate the expression inside the parentheses: \(18-12\), which simplifies to \(6\). Now our expression looks like this: \(6 \div 2 + 1\).
Division
Division is among the next steps in the order of operations. After parentheses, we move on to any multiplication or division from left to right. In our simplified expression from the previous section, we have: \(6 \div 2 + 1\).
Now we need to perform the division operation. Dividing 6 by 2 gives us \(3\).
So, the expression becomes: \(3 + 1\). Remember, always handle multiplication and division before moving on to addition and subtraction.
Addition
The final step involves addition. Now that we have simplified the expression to \(3 + 1\), we proceed with the addition operation.
Adding 3 and 1 gives us the final value of \(4\).
To summarize, we carefully followed the order of operations: first handling the parentheses, then performing the division, and finally completing the task with addition. This approach ensures that we arrive at the correct answer: \(4\).

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Most popular questions from this chapter

For exercises \(85-108\), write \(>\) or \(<\) between the numbers to make a true statement. $$ \frac{2}{11} \quad \frac{3}{16} $$

For exercises \(47-58\), rewrite the percent as a decimal number. $$ 18 \% $$

For exercises 1-12, rewrite the decimal number as a fraction. Simplify the fraction to lowest terms. $$ 0.63 $$

For exercises \(85-108\), write \(>\) or \(<\) between the numbers to make a true statement. $$ \frac{3}{11} \quad \frac{2}{7} $$

If 6 out of 200 bills are overdue, find the percent of the bills that are overdue.
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