4x 2 2x 2

Guri Bee

less than a minute read

·

20-10-2024

1

0

Share

Unraveling the Mystery of "4x 2 2x 2"

The expression "4x 2 2x 2" might appear simple at first glance, but it's actually a common point of confusion in algebra. Let's break down why it's tricky and how to solve it correctly.

The Problem: Order of Operations

The core issue lies in the order of operations, a set of rules that dictate the sequence in which mathematical operations should be performed. We can remember this order using the acronym PEMDAS:

• Parentheses
• Exponents
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

The Misinterpretation:

Many people might instinctively try to solve the expression from left to right, leading to:

1. 4 x 2 = 8
2. 8 x 2 = 16
3. 16 x 2 = 32

The Correct Solution:

Following the order of operations, we should perform multiplication from left to right:

1. 4 x 2 = 8
2. 2 x 2 = 4
3. 8 + 4 = 12

Therefore, the correct answer is 12.

Why It's Important:

Understanding the order of operations is crucial for accurate calculations in any mathematical context, from simple equations to complex scientific formulas. Misinterpreting the order can lead to significant errors in the results.

Practical Example:

Imagine you're calculating the cost of a trip. Let's say you need to buy 4 gallons of gas at $2 per gallon, and then pay a $2 toll each way. The expression "4 x 2 + 2 x 2" accurately reflects this calculation:

• 4 x 2 = $8 for gas
• 2 x 2 = $4 for tolls
• $8 + $4 = $12 total cost

By following the order of operations, we arrive at the correct cost of the trip.

Key Takeaway:

The expression "4x 2 2x 2" highlights the importance of the order of operations in mathematics. While it might seem simple, neglecting PEMDAS can lead to inaccurate results.