Solving 10 × 10 ÷ 10 Using BODMAS: A Comprehensive Guide

Mathematics can often seem daunting, but understanding the right order of operations can make it a breeze. In this article, we'll walk through solving the equation 10 × 10 ÷ 10 using the BODMAS rule. BODMAS stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction. This mnemonic is a powerful tool in ensuring that we perform the correct operations in the right order.

Understanding the Rule

When faced with an equation containing multiple operations such as addition, multiplication, and division, it's important to follow a specific rule to ensure accuracy. In this example, we have an equation with only division and multiplication:

10 × 10 ÷ 10

Applying the BODMAS Rule

Step 1: Division

According to BODMAS, you start with the division:

10 ÷ 10 1

Step 2: Multiplication

Next, you multiply the result from the division by the remaining number:

10 × 1 10

Step 3: Addition

Finally, you add the result of the multiplication to the initial 10:

10 10 20

Alternative Perspectives

PEMDAS vs. BODMAS

It's worth noting that the BODMAS rule is practically the same as the PEMDAS rule, just with a different order of emphasis. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. In both systems, the key operations of division and multiplication are performed from left to right, followed by addition and subtraction.

Practice Problems

Let's test your understanding with a few more examples using BODMAS:

15 ÷ 5 × 3 8 ÷ 2 24 - 6 × 3 ÷ 9 4

Solving the first one:

15 ÷ 5 3 3 × 3 9 8 ÷ 2 4 9 4 13

Solving the second one:

6 × 3 18 18 ÷ 9 2 24 - 2 22 22 4 26

The final answers are:

15 ÷ 5 × 3 8 ÷ 2 13 24 - 6 × 3 ÷ 9 4 26

Conclusion

Mastering the BODMAS (or PEMDAS) rule is a fundamental skill in mathematics. By following the correct order of operations, you can simplify complex equations and avoid common mistakes. Practice these rules regularly, and you'll develop a solid foundation for solving a wide range of mathematical problems.