Solving the Mathematical Equation: 223159 / 77 Using BODMAS
Understanding and applying the order of operations in mathematics is essential for solving complex equations. In this article, we will walk through the process of solving the equation 22 31 59 / 77, using the BODMAS rule. We'll break down the steps, explain each one, and ensure that you can confidently tackle similar problems.
What is BODMAS?
Before we dive into solving the specific equation, let's explain what BODMAS stands for. BODMAS is a mnemonic used to remember the order of operations in mathematics:
Brackets Orders (powers and square roots, etc.) Dividion and Multiplication (left-to-right) Addition and Subtraction (left-to-right)Solving 22 31 59 / 77 Using BODMAS
Let's break down the equation 22 31 59 / 77 step by step, adhering to the BODMAS rule.
Step 1: Identify the Operations
The given equation involves multiplication and division. According to BODMAS, we handle multiplication and division from left to right.
22 31 59 / 77
Step 2: Perform Multiplication
First, we multiply 31 by 59:
22 times; 31 times; 59 / 77
To find the product of 31 and 59:
31 times; 59 1829So, the expression becomes:
22 times; 1829 / 77
Step 3: Perform Division
Next, we divide 1829 by 77:
22 times; (1829 / 77)
Calculating the division:
1829 / 77 23.7792So, the expression now is:
22 times; 23.7792
Step 4: Perform Final Multiplication
Now, multiply 22 by 23.7792:
22 times; 23.7792 523.1424
The Final Answer
Therefore, the solution to the equation 22 31 59 / 77 is approximately 523.1424.
Summary and Tips
To tackle complex mathematical problems, it's essential to follow the BODMAS rule. Remember the order of operations: Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Practice regularly, and you'll become more proficient in solving similar equations. Understanding the fundamental principles of mathematics will not only enhance your problem-solving skills but also boost your confidence in various fields that rely on numerical data.