Understanding the Incorrect Solution to 1111 - 11 × 11 ÷ 11

While solving mathematical expressions, it's crucial to adhere to the correct order of operations. This ensures that the calculations yield accurate results. In this article, we’ll explore the solution to the expression 1111 - 11 × 11 ÷ 11 and highlight the most common mistakes made. This content is especially useful for students and professionals who rely on mathematical expressions on a daily basis.

Correct Solution Using BODMAS (or PEMDAS)

The expression 1111 - 11 × 11 ÷ 11 can be solved using the BODMAS (or PEMDAS) rule, which stands for:

B - Brackets O - Orders (Powers and Square Roots, etc.) D - Division M - Multiplication A - Addition S - Subtraction

Following the BODMAS rule step by step:

Brackets: There are no brackets in this expression, so we skip this step. Orders (Power and Square Roots): There are no powers or square roots in this expression, so this step is skipped. Division: Perform division first. In this case, 11 ÷ 11 1. Multiplication: Next, perform multiplication. So, 11 × 1 11. Addition and Subtraction: Now, we perform addition and subtraction from left to right: 1111 - 11 1100, and 1100 - 11 1089.

Thus, the correct solution is 1089.

The Common Mistakes

Let's identify the typical errors made in solving the expression.

Mistake 1:

Incorrectly simplifying to 1111 - 11 × 11 / 11: Incorrectly continuing as 1111 - 11 / 100: Incorrectly ending with 1111 - 1100 -1078.

Mistake 2:

Incorrectly splitting the expression into 1111 - 1111 ÷ 11: Incorrectly simplifying this to -1111 1111 11.

Mistake 3:

Misreading the order of operations, leading to 1111 - 1111 ÷ 11 -1111 1111 11.

Conclusion

Understanding the order of operations is crucial to correctly solving mathematical expressions. The expression 1111 - 11 × 11 ÷ 11 is most accurately solved using the BODMAS (or PEMDAS) rule, resulting in the correct answer of 1089.

Key Takeaways:

The correct solution to 1111 - 11 × 11 ÷ 11 is 1089. Always follow the BODMAS (or PEMDAS) rule to ensure accurate results. Mistakes often arise from incorrect application of the order of operations.

Final Expression

1111 - 11 × 11 ÷ 11 1111 - 11 × 1 1111 - 11 1100 - 11 1089