Understanding the Correct Answer to 6 - 1 × 0 2 ÷ 2
The expression 6 - 1 × 0 2 ÷ 2 often causes confusion due to the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)) or BODMAS (Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)). This article aims to clarify the correct answer and the steps involved in solving such an expression.
Breaking Down the Expression
Let's take the expression 6 - 1 × 0 2 ÷ 2 and break it down step-by-step, explaining why the answer is 7.
Step 1: Handling Multiplication and Division
According to PEMDAS/BODMAS, we start by performing multiplication and division from left to right:
1 × 0 0: First, we handle the multiplication 1 × 0, which is 0. 2 ÷ 2 1: Next, we handle the division 2 ÷ 2, which is 1.Substituting these values back into the expression, we get:
6 - 0 1
Step 2: Handling Addition and Subtraction
Now, we handle the addition and subtraction from left to right:
6 - 0 6: First, we perform the subtraction 6 - 0, which is 6. 6 1 7: Next, we perform the addition 6 1, which is 7.Therefore, the final answer is:
7
Another Approach Using DMAS Rule
Another way to understand the same problem is by using the DMAS rule (Division, Multiplication, Addition, Subtraction), which is essentially the same as PEMDAS/BODMAS but written in a different order:
Calculate 1 × 0 0. Calculate 2 ÷ 2 1. Substitute these values back into the expression: 6 - 0 1. Perform the calculations from left to right: 6 - 0 6, and 6 1 7.Why Understanding PEMDAS/BODMAS is Important
Understanding PEMDAS/BODMAS is crucial for solving complex mathematical expressions correctly. It ensures consistent and accurate results. Let's explore why this is so important:
Consistency in Calculation
Inconsistencies in calculation can lead to errors in mathematical problem-solving, which can affect various fields such as science, engineering, and finance. For instance, in scientific research, an erroneously calculated value can affect the accuracy of an experiment or a study.
Education and Learning
Teaching PEMDAS/BODMAS to students is fundamental in mathematics education, as it helps build a strong foundation in algebra and other advanced mathematical concepts.
Practical Applications
PEMDAS/BODMAS is crucial in practical applications such as budgeting, financial planning, and data analysis. In these fields, precision is key to making accurate predictions and informed decisions.
Conclusion
The expression 6 - 1 × 0 2 ÷ 2, when solved using the order of operations, yields the correct answer of 7. This understanding is not only important for solving mathematical problems but also for ensuring consistency and accuracy in various practical and educational contexts. By mastering the PEMDAS/BODMAS rule, you can confidently handle a wide array of mathematical challenges.