What is the rule for Pemdas?

The rule for Pemdas is a helpful acronym that stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This rule is used to determine the order of operations in a mathematical expression.

In an expression with multiple operations, Pemdas ensures that we evaluate the operations in the correct order to get the accurate result. It is important to remember that multiplication and division have the same level of precedence, as well as addition and subtraction.

Let's take an example expression: 4 + 2 * 3 - (8 / 4) + 6. Using the Pemdas rule, we first evaluate the expression within the parentheses: 8 / 4 = 2. Then, starting from left to right, we perform multiplication: 2 * 3 = 6. Next, we perform addition: 4 + 6 = 10. Finally, we perform subtraction: 10 - 2 = 8. Therefore, the result of the expression is 8.

By following the Pemdas rule, we ensure that expressions are evaluated correctly, maintaining the mathematical order and preventing any ambiguity.

Do you multiply or divide first in Pemdas?

In the Pemdas order of operations, there might be confusion as to whether you multiply or divide first. However, it is important to remember that multiplication and division are performed from left to right according to the order they appear in the expression.

Let's take an example to illustrate this. Consider the expression: 10 ÷ 2 × 3. According to Pemdas, we start by solving any operations inside parentheses or brackets, but in this case, there are none. Moving on to the next step, we have division and multiplication.

Since both division and multiplication follow the same level of hierarchy in Pemdas, we perform them from left to right. In our example, we have 10 divided by 2, which equals 5. Then, we multiply 5 by 3, resulting in a final answer of 15.

The concept behind this order of operations is to ensure consistency and avoid ambiguity in mathematical expressions. By following the Pemdas rule, we can solve complex calculations in a systematic manner.

Now, let's consider another expression: 20 ÷ 4 × 2. Again, we start with any operations inside parentheses or brackets, but in this case, there are none. Moving on, we have division and multiplication. Applying the same left to right rule, we divide 20 by 4, which equals 5. Then, we multiply 5 by 2, resulting in a final answer of 10.

In conclusion, when faced with the question of whether to multiply or divide first in Pemdas, remember that both operations are performed from left to right. This ensures that the hierarchy is maintained according to the order they appear in the expression. By following this rule, you can confidently solve mathematical expressions using the Pemdas method.

How do you do Pemdas step by step?

When it comes to understanding and solving mathematical expressions, following the PEMDAS acronym is crucial. PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. This order of operations ensures that calculations are done correctly.

To do PEMDAS step by step, you need to remember the following:

1. Parentheses: Start by evaluating expressions inside parentheses first. If there are nested parentheses, work from the inside out.
2. Exponents: Once parentheses are resolved, move on to solving any exponents or powers present in the expression.
3. Multiplication/Division: Next, perform any multiplication or division in the order from left to right.
4. Addition/Subtraction: Finally, tackle addition and subtraction from left to right.

Let's consider an example to see how the PEMDAS process works:

Expression: 6 + 3 * (8 - 4)

Step 1: Evaluate the expression inside the parentheses first.

=> 6 + 3 * (4)

Step 2: Solve the multiplication next.

=> 6 + 12

Step 3: Perform the addition to get the final result.

=> 18

Following the PEMDAS rule, the answer to the given expression is 18.

Remembering and applying PEMDAS is essential to avoid confusion and obtain accurate results in mathematical calculations.

What is the UK version of Pemdas?

The UK version of Pemdas is commonly known as BIDMAS, which stands for Brackets, Indices, Division and Multiplication, and Addition and Subtraction. BIDMAS is a mathematical acronym that helps define the order of operations in the UK education system.

Brackets refer to any mathematical expressions that are enclosed within parentheses or brackets. These should be solved first, starting from the innermost brackets and working outward.

Indices refers to any mathematical operations involving exponents or powers. These operations should be evaluated after resolving brackets, from left to right.

Division and Multiplication are considered as equal priority operations in BIDMAS. They should be performed from left to right, taking into account any values that have already been calculated.

Addition and Subtraction are the final operations to be completed. Similar to division and multiplication, they should be carried out from left to right, considering any previously calculated values.

In summary, the UK version of Pemdas follows the order of operations as outlined by BIDMAS: Brackets, Indices, Division and Multiplication, and Addition and Subtraction. This acronym serves as a guide to ensure that mathematical expressions are evaluated correctly, resulting in accurate outcomes.

What is the new rule of Pemdas?

Pemdas stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). It is a useful acronym that helps us remember the order in which certain mathematical operations should be performed. Recently, a new rule has been added to the traditional Pemdas acronym.

The new rule states that multiplication and division should be solved from left to right, regardless of their order in the equation. This means that if we have an equation with multiple multiplication and division operations, we need to solve them based on their position from left to right, rather than first performing all the multiplication and then all the division operations.

For example, in the equation 9 ÷ 3 x 2, traditionally we would solve the multiplication first and then the division, resulting in an answer of 6. However, according to the new rule, we would solve the equation from left to right, resulting in an answer of 3. This change in the rule ensures a more consistent and logical approach to solving mathematical equations.

It is important to note that the other aspects of the Pemdas rule remain unchanged. Parentheses still have the highest priority and should be solved first, followed by exponents. After that, we solve multiplication and division (from left to right) and finally addition and subtraction (from left to right).

In conclusion, the new rule of Pemdas states that multiplication and division should be solved from left to right, regardless of their order in the equation. This added rule ensures a more consistent and logical approach to solving mathematical equations.