Which bracket is solved first?

Answered by Douglas Hiatt

According to the BODMAS rule, also known as the order of operations, brackets are solved first. This means that any mathematical calculations or operations within brackets should be performed before anything else in the expression.

Let’s consider an example to further illustrate this concept. Suppose we have the expression 2 + (3 * 5). In this case, the bracket (3 * 5) should be solved first. The multiplication operation within the bracket should be performed, resulting in 15. The expression then becomes 2 + 15. the addition operation is carried out, giving us the final answer of 17.

The reason brackets are given the highest priority is to ensure that the intended order of operations is followed. By using brackets, we can group certain operations together and ensure they are performed before any other calculations.

It’s important to note that if there are multiple sets of brackets within an expression, they should be solved from the innermost to the outermost. This means that any calculations within the innermost brackets should be done first, followed by the next set of brackets, and so on.

For example, consider the expression 10 + (5 * (2 + 3)). In this case, the innermost brackets (2 + 3) should be solved first, resulting in 5. The expression then becomes 10 + (5 * 5). Next, the multiplication operation (5 * 5) is performed, giving us 25. the addition operation is carried out, resulting in the final answer of 35.

By following the BODMAS rule and solving brackets first, we ensure that mathematical expressions are evaluated correctly and consistently. This rule helps to avoid any ambiguity and ensures that calculations are performed in the intended order.

In my personal experience, I have found the BODMAS rule to be quite useful in solving complex mathematical expressions. It provides a systematic approach to evaluating expressions and ensures that the correct order of operations is followed. By solving brackets first, we can simplify expressions and arrive at the correct answer.

According to the BODMAS rule, brackets should be solved first in a mathematical expression. This rule helps to establish the order of operations and ensures that calculations are performed accurately. By solving brackets first, we can simplify expressions and obtain the correct answer.