The 12 4 3 trick is a mathematical concept that involves the order of operations. It is a way to determine the correct order in which to perform calculations when faced with a mathematical expression that includes parentheses, addition, subtraction, multiplication, and division.
In this specific trick, we are given the expression (12–4)-3 and asked to simplify it. To do this, we need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
In the expression (12–4)-3, we first encounter the parentheses. According to the order of operations, we need to perform the subtraction within the parentheses first. So, 12–4 becomes 8.
Now, we have (8)-3. Since there are no more parentheses, we move on to the next operation, which is subtraction. We subtract 3 from 8, resulting in 5.
Therefore, the simplified form of (12–4)-3 is 5.
It’s important to note that the trick lies in understanding the correct order in which to perform the calculations. By following the order of operations, we ensure that we arrive at the correct answer.
Let’s take a look at another example to further illustrate the trick. Consider the expression 12 – (4–3). Again, we need to simplify this expression using the order of operations.
Inside the parentheses, we have the subtraction 4–3, which equals 1. So, the expression becomes 12 – 1.
Now, we perform the subtraction and find that the simplified form of 12 – (4–3) is 11.
By carefully following the order of operations and performing the necessary calculations in the correct order, we can accurately simplify expressions and find the desired result.
In my personal experience, I have found the 12 4 3 trick to be a helpful tool when solving mathematical expressions. It serves as a reminder to always prioritize the calculations inside parentheses before moving on to other operations. By consistently applying this concept, I have been able to solve complex mathematical problems with ease.