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PEMDAS, also known as the order of operations, is a set of rules that govern how operations are performed in an arithmetic expression. A number of different scenarios exist in which everything proceeds through various steps in a predetermined order. Let’s take a look at the following scenario. Ron and Raven went on a field trip to a toy factory. They both went to the factory and observed the procedures that were followed in order to manufacture toys. Toys are created first and foremost. Following that, they are constructed and packaged in boxes. Finally, they are subjected to a quality inspection before being distributed to retailers. Everything is completed in a predetermined sequence.
In a similar vein, arithmetic operations are carried out in a well-organized fashion. Let’s take a look at the order of operations in mathematics first. When only one operator is involved in a mathematical operation, finding the answer is relatively straightforward. What happens if there are multiple operators involved? This could become a little more difficult! Let’s take a look at how. Ron and Raven each came up with a solution to the mathematical expression 5+2+3. This is how they came up with a solution.
PEMDAS Operation
PEMDAS is a mathematical order of operation that is used to deal with complex calculations quickly and efficiently. We begin by solving the terms enclosed in parentheses or brackets, then simplify exponential terms and proceed to multiplication and division operations, before arriving at the solution by solving addition and subtraction operations.
When Should You Use PEMDAS
It is necessary to use the PEMDAS method whenever a mathematical expression contains more than one operation. PEMDAS in mathematics provides you with a structured approach to generating a unique answer for each mathematical expression. When using the PEMDAS method, there is a set of rules that must be followed in a specific order. Once you’ve gotten the hang of these rules, you’ll be able to perform multiple steps at the same time.
The operations enclosed in brackets should be completed first.
After that, you must solve for the exponents in the expression.
Move from left to right and perform multiplication or division, depending on which comes first in the sequence.
To perform addition or subtraction, move from left to right and do so in the order that it occurs.
Mistakes that people make when applying the PEMDAS rule in mathematics
The presence of multiple brackets is often a source of misunderstanding. This can result in an incorrect answer if we don’t know which bracket to solve first. We will now learn how to solve this expression by using multiple brackets to denote the variables.
4+3[8-2(6-3)]÷2
We’ll start by working our way around the inside of the brackets to the outside. We’ll start with the innermost bracket and work our way outwards from there.
Starting with 6 – 3 = 3, we get: 4 + 3[8 – 2(3)] = 2 when we multiply by 8.
After that, we can multiply 2(3)=6 or 23=6 to get the following result: 4 + 3[8 – 6] = 2 4 + 3[8 – 6] = 2
Given that there is only one bracket remaining, [8 – 6] = 2, we get: 4 + 3[2] = 2.
When we solve 3[2] or 3 2 = 6, we get the following: 2 = 4 + 6 = 2
We can see that all of the expressions between the brackets have been resolved. Based on PEMDAS, we know that division is the next step; therefore, 6 ÷ 2 = 3, which is equal to 4 + 3. Last but not least, the addition of 4 and 3 equals 7.
Conclusion
PEMDAS is a collection of rules that must be followed when attempting to solve mathematical expressions. These rules begin with parentheses, after which operations are performed on the exponents or powers of the exponents or powers of the powers. Afterwards, we perform multiplication and division operations starting from the leftmost operand. Finally, operations on addition and subtraction are carried out from left to right in the order specified.
