Solving the Expression: 1.2 0.1 - 1.2 ÷ 0.6 × 2

When solving the expression 1.2 0.1 - 1.2 ÷ 0.6 × 2, it is crucial to follow the order of operations. This order, commonly remembered by the acronyms PEMDAS or BODMAS, ensures that mathematical expressions are evaluated consistently. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). BODMAS stands for Brackets, Orders, Division and Multiplication (left to right), Addition and Subtraction (left to right).

Step-by-Step Solution

Let's break it down step by step to solve the expression:

Step 1: Division

First, we evaluate the division part of the expression: 1.2 ÷ 0.6.

1.2 ÷ 0.6 2

Step 2: Substitution and Multiplication

Now, we substitute the result back into the expression, which simplifies it to: 1.2 0.1 - 2 × 2.

Next, we perform the multiplication:

2 × 2 4

Step 3: Addition

Substituting this result back into the expression, we get: 1.2 0.1 - 4.

Perform the addition:

1.2 0.1 1.3

Step 4: Subtraction

Finally, perform the subtraction:

1.3 - 4 -2.7

Conclusion

The final answer to the expression 1.2 0.1 - 1.2 ÷ 0.6 × 2 is -2.7.

Remembering the order of operations (PEMDAS or BODMAS) is essential for solving complex mathematical problems accurately. By following this step-by-step approach, you can ensure that you arrive at the correct solution every time.

Additional Practice

To further reinforce your understanding of the order of operations, try solving similar expressions on your own. Understanding these principles will help you solve a wide variety of mathematical problems with confidence.

For more resources and practice, visit websites that offer tutorials and practice problems on the order of operations. Mastering these rules is a fundamental skill in mathematics and will serve you well in more advanced mathematical studies.