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Order of Operations Calculator

An order of operations calculator is a tool or a function that performs arithmetic calculations according to the standard order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). The order of operations specifies the order in which mathematical operations should be performed in an expression or equation.

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What is Order of Operations Calculator

An Order of Operations Calculator is an online tool that helps you perform calculations according to the standard order of operations in mathematics. The order of operations, also known as the “PEMDAS” rule, specifies the sequence in which different operations should be performed when evaluating mathematical expressions. The acronym stands for:

  • Parentheses (or other grouping symbols)
  • Exponents (or powers and roots)
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

Using an Order of Operations Calculator can be especially helpful when working with complex mathematical expressions involving multiple operations and parentheses.

To use the Order of Operations Calculator, you simply need to enter the expression you want to evaluate into the designated input box. The calculator will then automatically apply the order of operations and provide you with the result.

For example, if you wanted to evaluate the expression “5 + 3 x 2^2 – (4/2)”, you would enter it into the calculator as follows:

5 + 3 x 2^2 – (4/2)

The calculator would then apply the order of operations as follows:

  1. Parentheses: (4/2) = 2
  2. Exponents: 2^2 = 4
  3. Multiplication: 3 x 4 = 12
  4. Addition: 5 + 12 = 17

So the final result of the expression is 17.

Using an Order of Operations Calculator can help you avoid errors and ensure that your calculations are performed correctly according to the standard order of operations.

What is PEMDAS?

PEMDAS is a mnemonic acronym that stands for the order of operations in mathematics: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

This acronym is commonly used to help students remember the correct order in which to perform arithmetic operations when solving complex mathematical expressions.

The PEMDAS rule specifies that operations in parentheses should be performed first, followed by any exponents or roots, then multiplication and division (performed from left to right), and finally addition and subtraction (also performed from left to right).

Following the PEMDAS rule ensures that mathematical expressions are evaluated consistently and accurately. By remembering this order, students can solve complex expressions and equations without confusion or errors.

PEMDAS Problems

Here are some PEMDAS problems for you to practice:

  1. Simplify the expression: 3 + 5 x 2

Solution: According to the PEMDAS rule, we must perform the multiplication before the addition. Therefore, we need to first multiply 5 by 2 and then add the result to 3.

3 + 5 x 2 = 3 + 10 = 13

So the answer is 13.

  1. Simplify the expression: 4 x (8 + 2) ÷ 2

Solution: We need to perform the operations inside the parentheses first. This gives us:

4 x (8 + 2) ÷ 2 = 4 x 10 ÷ 2

Next, we perform the multiplication:

4 x 10 ÷ 2 = 40 ÷ 2

Finally, we perform the division:

40 ÷ 2 = 20

So the answer is 20.

  1. Simplify the expression: 10 ÷ (2 + 3) x 4

Solution: First, we need to perform the addition inside the parentheses:

10 ÷ (2 + 3) x 4 = 10 ÷ 5 x 4

Next, we perform the division:

10 ÷ 5 x 4 = 2 x 4

Finally, we perform the multiplication:

2 x 4 = 8

So the answer is 8.

Remember to follow the PEMDAS rule to solve these problems correctly.