Solving 22×2 using the Correct Order of Operations

When solving mathematical expressions, the order of operations is crucial to ensure accurate results. This article will explore how to solve the expression 22×2 using the correct order of operations, specifically the BODMAS and PEMDAS acronyms.

Understanding BODMAS and PEMDAS

The acronyms BODMAS (Bracket, Order, Division, Multiplication, Addition, Subtraction) and PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) are used to remember the correct order of operations in mathematics.

Solving 22×2 using BODMAS

Under the BODMAS acronym, there are no brackets or orders to consider, so we move straight to multiplication. Perform the multiplication first: 2×2 4. Next, add 2 to the result: 2 4 6.

The correct answer using the BODMAS method is 6.

Solving 22×2 using PEMDAS

Parentheses: None Exponents: None Multiplication and Division (left to right): 2×2 4 Addition and Subtraction (left to right): 2 4 6

The correct answer using the PEMDAS method is also 6.

Understanding the Common Misinterpretation

Often, people might misinterpret the expression 22×2 as 22 ÷ 2. However, this is incorrect. Let's explore why:

Incorrect Interpretation: 22 ÷ 2

Perform the division first: 22 ÷ 2 11. Add 2 to the result: 2 11 13.

The incorrect interpretation using the rules of BODMAS and PEMDAS would yield 13, which is not the correct answer.

Further Clarifications

Let's evaluate another related expression: 22 ÷ 2.

Solving 22 ÷ 2 using BODMAS

No brackets or exponents. Perform the division first: 22 ÷ 2 11. There are no additions or subtractions left.

The correct answer is 11, not 3.

Solving 22 ÷ 2 using PEMDAS

No parentheses or exponents. Perform the division first: 22 ÷ 2 11. There are no additions or subtractions left.