What are the Common Maths Mistakes and Misconceptions?

29th January 2024

Mathematics, often hailed as the universal language, is not immune to errors and misconceptions. While solving problems or engaging in mathematical discussions, common sections can be a breeding ground for mistakes and misunderstandings. In this blog, we’ll explore some common maths mistakes and misconceptions that frequently appear in students’ work.

Order of Operations (PEMDAS/BODMAS) mistakes:

One prevalent mistake stems from a misunderstanding of the order of operations. Whether using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division – from left to right, Addition and Subtraction – from left to right) or BODMAS (Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication, Addition and Subtraction), some individuals overlook or misinterpret the sequence, leading to miscalculations.

For example, in the expression 3 + 5 * 2, some might incorrectly add 3 and 5 first, resulting in 8 * 2, instead of multiplying 5 and 2 first to get 3 + 10.

Mistakes with Misunderstanding Percentages:

Percentages can be a tricky concept, and it’s not uncommon to see mistakes related to their interpretation. For instance, assuming that increasing a value by 20% and then decreasing it by 20% will bring it back to its original value. In reality, the final value is lower than the initial one due to the compounding effect of percentage changes.

Misunderstanding with Undefined Division:

Dividing by zero is a classic error that often sparks debates . Some individuals argue that anything divided by zero is equal to infinity, while others claim it is undefined. Understanding the concept of division by zero is crucial, as it has profound implications in mathematics and its applications.

Flawed Notation Interpretation:

Mathematical notation can be complex, and misinterpretations can lead to confusion. For example, the difference between 2^3 and 2^-3 is significant but might be overlooked. Clear communication of mathematical ideas is essential to avoid such misunderstandings.

Over-reliance on Calculator Results:

While calculators are valuable tools, blind trust in their results can lead to errors. Rounding issues, input errors, or forgetting to switch between degrees and radians in trigonometric calculations are common pitfalls when relying solely on calculators.

Common maths Mistakes and Misconceptions Summary

In the vast landscape of mathematical discussions, common areas serve as both a platform for learning and a breeding ground for mistakes and misconceptions. Recognising these common errors and cultivating a deeper understanding of mathematical concepts can enhance the quality of mathematical discourse. By promoting accuracy, clear communication, and a willingness to learn from one another, we can collectively contribute to a more informed and mathematically literate community.

Our maths tutors will help you to avoid these pitfalls which will make you a more accurate mathematician!