Solving the Equation 45×278767: A Comprehensive Guide

Understanding how to solve an equation such as 45×278767 can be both interesting and challenging. This article will walk you through the process of solving this equation using the Basic Order of Operations (BODMAS) rule. By the end, you will understand how to break down the problem and arrive at the correct answer.

Application of the BODMAS Rule

The BODMAS rule is a mnemonic for the order of operations in mathematics, which stands for:

B - Brackets O - Orders (i.e., powers and square roots, etc.) D - Division M - Multiplication A - Addition S - Subtraction

Let's apply this rule to solve the equation 45×278767.

Step-by-Step Solution

The equation is:

45×278767

Based on the BODMAS rule, we start with multiplication, followed by addition.

First, multiply 45 and 278767: 45 × 278767 12544515

However, it seems that the original equation given might be a concatenation and misinterpretation. Let's solve it correctly based on standard mathematical operations.

Second, break the equation into parts to clarify the operations: 45 × 27 1215 87 67 154

Now, we add the results of these operations:

1215 154 1369

Therefore, the correct answer to the equation 45×278767 is 1369.

Common Errors and How to Avoid Them

Many people make common mistakes when solving such equations. Here are some tips to avoid them:

Double-check the operations: Ensure that multiplication is done before addition, following the BODMAS rule. Pay attention to parentheses: If the equation had parentheses, they would take precedence in the order of operations. For example, (45 x (27 87) 67) would be solved differently. Break down the equation: Sometimes, splitting the equation into smaller parts can help in solving it more efficiently.

By following these tips and the BODMAS rule, you can solve any similar equation with confidence.

Conclusion

Solving problems like 45×278767 can be simplified by understanding the BODMAS rule and breaking down the equation into manageable parts. Whether you're a student, teacher, or anyone looking to improve your mathematical skills, mastering the order of operations is a valuable skill that can be applied to various scenarios.