Solving 72×6: Understanding the BODMAS Rule in Mathematics

In mathematics, understanding the correct sequence of operations is crucial for solving complex expressions. One such expression is 72×6. Let's explore how to solve this problem using the BODMAS rule, a fundamental principle that guides us in the order of operations.

The BODMAS Rule

The BODMAS rule is a mnemonic to ensure the correct order of operations in mathematical expressions. The acronym stands for:

BBrackets (parentheses) OOrders (powers and roots, etc.) DDivision MMultiplication AAddition SSubtraction

In simpler terms, BODMAS tells us to perform operations in the following order: Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

Solving the Expression 72×6

Now, let's apply the BODMAS rule to solve the expression 72×6.

Multiplication: According to the BODMAS rule, we begin with multiplication. In the expression 72×6, we multiply 2 by 6:

2 x 6  12

Addition: After performing the multiplication, we add the result to 7. This gives us:

7   12  19

Therefore, the solution to the expression 72×6 is 19.

Common Misunderstandings

It's important to note that there might be confusion regarding the correct ordering of operations, as demonstrated in some of the provided examples. Let's address a common misconception:

Some might think that 7 2 6 36, which is incorrect. According to the BODMAS rule, we must first perform the multiplication, which is 2×612, and then add 7 to it, as described above.

Another example might mistakenly leave the answer as 19 without explicitly showing the steps, but the intermediate step is necessary to ensure a thorough understanding:

Conclusion

Understanding the BODMAS rule is essential for solving mathematical expressions accurately. The expression 72×6, when solved step-by-step using the BODMAS rule, yields the correct answer as 19. By following the correct order of operations, we ensure that our calculations are precise and reliable.