Understanding the Answer to 73×2: A Deep Dive into Mathematical Operations
The expression 73×2 is a simple yet pivotal example for understanding the order of operations, a fundamental concept in mathematics. When dealing with complex mathematical problems, knowing the correct sequence of operations is crucial to obtaining the right answer. In this article, we will explore the correct method to solve 73×2 using the widely recognized rules of BODMAS (or PEMDAS in the United States).
What is the Correct Answer to 73×2?
According to the correct sequence of operations, which is often remembered by the acronym BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) in the United Kingdom and other English-speaking countries, or PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) in the United States, the multiplication operation takes precedence over addition. Therefore, the accurate answer to 73×2 is indeed 13. Let's break it down:
The Step-by-Step Solution
The problem involves a simple multiplication: 3×2. According to the order of operations (BODMAS/PEMDAS), we perform the multiplication first: 3×26. Next, we add 7 to the result of the multiplication: 7 613.The Basics of BODMAS/PEMDAS
Understanding the BODMAS/PEMDAS rule is essential for solving more complex mathematical expressions. Here’s a detailed look at each component:
B in BODMAS or P in PEMDAS: Brackets (or Parentheses)
Brackets are used to group parts of an expression together. Operations within brackets must be performed first according to BODMAS/PEMDAS.
O in BODMAS or E in PEMDAS: Orders
Orders (exponents) come next. This includes powers and square roots, which take precedence over multiplication, division, addition, and subtraction.
D in BODMAS or M in PEMDAS: Division and Multiplication
Division and multiplication are performed next, from left to right, as they hold equal precedence according to BODMAS/PEMDAS.
A in BODMAS or A in PEMDAS: Addition and Subtraction
Addition and subtraction are the final operations to be performed, also from left to right, as they hold equal precedence according to BODMAS/PEMDAS.
Conclusion
Applying the BODMAS/PEMDAS rule is crucial for solving mathematical expressions accurately. Starting with the multiplication in 73×2, we followed the steps: 3×26, then 7 613, arriving at the final answer of 13. Understanding and correctly applying these rules can greatly simplify complex calculations and ensure consistent results in mathematics.
By familiarizing yourself with the BODMAS/PEMDAS rule, you can solve a wide range of mathematical problems with confidence. Whether you are a student, a teacher, or someone who deals with numbers professionally, mastering these rules is invaluable.