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Chapter 2: Problem 344

In the following exercises, simplify. $$ 30+6 \div 2 $$

Short Answer

Expert verified
The simplified expression is 33.

Step by step solution

01

- Identify Operations and Their Order

Identify the operations in the expression: addition (+) and division (梅). According to the order of operations (PEMDAS/BODMAS), division comes before addition.
02

- Perform the Division

Divide 6 by 2. 虏 = 3 Thus, the expression becomes: 30+3
03

- Perform the Addition

Add 30 and 3. 30 + 3= 33

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Key Concepts

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

Understanding PEMDAS
PEMDAS is an acronym that helps you remember the order of operations in mathematics. It stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This order is crucial in solving mathematical expressions correctly. For example, in the expression given: \(30+6 \div 2\), even though addition comes first as you read from left to right, division is performed before addition due to PEMDAS. Always follow this sequence to avoid mistakes.
Simplifying Expressions
Simplifying an expression means to perform all possible operations to reduce it to a simpler form. In this case, the expression is \(30 + 6 \div 2\). By following PEMDAS, we first perform the division: \( 6 \div 2 = 3 \). Then, the expression simplifies to \(30+3\). Finally, you add the two numbers together: \( 30 + 3 = 33 \). The simplified expression is 33. Always simplify step-by-step to avoid confusion.
Basic Arithmetic Operations
Basic arithmetic includes addition, subtraction, multiplication, and division. These are the fundamental building blocks of math. Here are some key points to remember:
  • Addition is combining two numbers into a larger one: \(30 + 3 = 33\).
  • Division splits a number into equal parts: \(6 \div 2 = 3\).
In the given problem, the division first splits 6 into 2 parts and then those parts added to 30 give you 33. Each operation must be performed correctly to get the right result.

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