Problem 58 - Elementary Algebra

Question

\(8+20 \div 2\)

Step-by-Step Solution

Answer

The result is 18.

Step 1: Follow the Order of Operations

First, we use the order of operations (PEMDAS/BODMAS). Division should be done before addition.

Step 2: Perform the Division

Divide 20 by 2 to get 10. Therefore, the expression becomes: 8 + 10.

Step 3: Perform the Addition

Add 8 and 10 to get 18. Therefore, the final result of the expression is 18.

Key Concepts

PEMDAS Explained

When solving math problems, it's essential to use the correct order of operations. This is often remembered by the acronym PEMDAS, which stands for:

• P - Parentheses
• E - Exponents
• M - Multiplication
• D - Division
• A - Addition
• S - Subtraction

Following PEMDAS ensures that everyone solves the problem the same way and gets the correct result. For example, in the expression given, 8 + 20 ÷ 2, division must be performed before addition, which guarantees we follow the correct sequence of operations.

The Role of Division

Division is an essential arithmetic operation where you split a number into equal parts. In the expression 8 + 20 ÷ 2, you first need to divide before adding. Dividing 20 by 2 gives you 10. By handling the division first, you simplify the expression to 8 + 10.
It's crucial to recognize the importance of division in ensuring accurate results and maintaining the integrity of the order of operations.

Adding Numbers

Addition is likely one of the first math operations you learned. Once you've done all the divisions and multiplications in an expression, you proceed with addition. In the problem 8 + 10, you simply combine these numbers to get the result, 18. Addition collects numbers together to form a sum.
It closes out the PEMDAS process after all other operations are completed, leading to your final answer.