Understanding the Expression 222222222222×02: A Comprehensive Guide

If you've come across the expression 222222222222×02 and are trying to understand its value, this article will break down the steps to evaluate it. This guide will provide a detailed explanation, including the use of the PEMDAS (or BODMAS) rule for order of operations.

Evaluating 222222222222×02 Using PEMDAS

Let's start with the given expression:

Expression: 222222222222×02

To evaluate this expression, we follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)) or BODMAS (Brackets, Orders, Division and Multiplication (left to right), Addition and Subtraction).

Step-by-Step Evaluation

Multiplication: According to PEMDAS/BODMAS, we perform the multiplication before any addition. Identify Multiplication: The expression can be interpreted as the number 222222222222 being multiplied by 02. The placement of the 0 before the 2 implies that the entire number is 222222222220. Multiplication Result: 222222222220 multiplied by 2 is 444444444440.

Simplifying the Expression

If we consider the expression in a more concise form, such as 222222222222×02, we can simplify it by using the multiplication:

Expression: 222222222222×02

Given that 222222222222 is a 13-digit number and 02 is effectively 2, we perform the multiplication:

Result: 222222222222×2 444444444444

Using Parentheses and Tagging for Clarity

To further clarify and follow the order of operations, we can use parentheses to group the terms:

Expression: 222222222222×(02)

Using the multiplication rule, we get:

Result: 222222222222×2 222222222224

However, if we use the original expression and the order of operations, the final simplified value is:

222222222222×02 444444444444

This value is derived from the multiplication of 222222222222 by 2, as the term 02 simplifies to 2.

Conclusion

The final result after evaluating the expression 222222222222×02 is 444444444444. By following the order of operations and breaking down the expression step-by-step, we can clearly see the value and understand the evaluation process.