Solving the Equation: 35 8 x 20 ÷ 4 - 25

Understanding the order of operations is crucial for correctly solving mathematical expressions. This article will guide you through the process of solving the equation 35 8 x 20 ÷ 4 - 25 using the proper rules and steps. We will utilize the popular mnemonics PEMDAS and BODMAS to facilitate the understanding of the order of operations.

Understanding the Equation

The given equation is 35 8 x 20 ÷ 4 - 25. To solve this, we need to follow the rules of order of operations, which are outlined in the acronyms PEMDAS and BODMAS. Both acronyms stand for the following rules:

P/B: Parentheses/Brackets E/O: Exponents/Orders M/D: Multiplication and Division (from left to right) A/S: Addition and Subtraction (from left to right)

Solving the Equation: Step-by-Step

Let's break down the equation 35 8 x 20 ÷ 4 - 25 step-by-step.

Multiplication and Division (from left to right): Perform the multiplication first: 8 x 20 160 Next, perform the division: 160 ÷ 4 40 Addition and Subtraction (from left to right): Substitute the result: 35 40 75 Perform the subtraction: 75 - 25 50

Therefore, the final answer is 50.

Explanation with MathJax

Let's solve the expression using MathJax to better visualize each step:

Given expression: [35 , 8 , times , 20 , div , 4 , - , 25]

Following the BODMAS/PEMDAS rule, we get:

[ 35 , (8 , times , 20 , div , 4) , - , 25]

[ 35 , (160 , div , 4) , - , 25]

[ 35 , times 40 , - , 25]

[ 35 , times 40 , - , 25]

[ 35 , 40 , - , 25]

[ 35 , 40 , - , 25]

[ 50]

Conclusion

Solving the expression 35 8 x 20 ÷ 4 - 25 correctly follows the defined order of operations, leading to a final result of 50. Understanding these rules will help in solving more complex mathematical expressions with ease.