Mastering Approximations: The Power of ‘By-and-Large’ Thinking for Effective Decisions

R

Ray Dalio

LinkedIn Author

Founder of Bridgewater Associates

In a world that often emphasizes hyper-precision, the valuable skill of approximation is frequently overlooked. Our educational systems, in their pursuit of exactitude, can inadvertently hinder the development of conceptual thinking. Ray Dalio, in a recent insight, highlights the critical importance of understanding concepts ‘by-and-large’ and using approximations to make effective decisions.

Dalio points out that the fixation on precision can impede our ability to grasp the bigger picture. He uses a simple mathematical example: multiplying 38 by 12. While the conventional approach involves a lengthy calculation, a more effective method is to round 38 up to 40 and 12 down to 10. This approximation quickly yields an answer of around 400, demonstrating the power of quick estimation.

The Ice Cream Analogy: Seeing the Forest for the Trees

To further illustrate this point, Dalio invokes an analogy involving an ice cream shop. Imagine a scenario where you need to quickly understand the general relationships between various data points (represented by dots). Would it be more efficient to meticulously measure every edge and detail, or to grasp the overall pattern and approximate relationships? The latter, Dalio argues, is clearly more valuable. Yet, in many aspects of life and business, we tend to get bogged down in the precise details, losing sight of the overarching trend.

Why ‘By-and-Large’ Thinking Matters for Decision-Making

The principle of ‘by-and-large’ thinking is not just an academic concept; it’s a crucial tool for effective decision-making. Most complex situations and concepts are best understood at a macro level. When a broad, ‘by-and-large’ statement is made, and the immediate response is to focus on exceptions (‘Not always’), it often signals a departure from understanding the fundamental rule. This can lead to getting lost in the minutiae, distracting from the core principle that guides effective action.

Avoiding the ‘Weeds’ of Exceptions

Dalio’s observation suggests that an overemphasis on exceptions can paralyze decision-making. While exceptions exist in almost every rule, understanding the general tendency or the most probable outcome is often sufficient for making sound judgments. The goal is to identify the dominant pattern and act upon it, rather than becoming ensnared in the exceptions that, while true, may not be representative of the larger reality.

Embracing Approximation for Clarity

Cultivating the ability to approximate and think ‘by-and-large’ allows for faster processing of information and clearer decision-making. It encourages a focus on what is most important and generally true, enabling individuals and organizations to navigate complexity with greater agility and insight. By valuing approximations, we can enhance our conceptual understanding and become more effective problem-solvers.

This perspective is a valuable reminder from Ray Dalio, emphasizing a foundational principle for achieving success in a complex world.

📝 About This Content

This article is based on insights shared by Ray Dalio on LinkedIn.

📅 Originally posted on October 26, 2025 | View original post on LinkedIn →