T = 1,36 - {0,25 - [14,2 + (0,2 - 0,035 + 3,3)]}

To solve the expression \( T = 1.36 - \{0.25 - [14.2 + (0.2 - 0.035 + 3.3)]\} \), we need to follow the order of operations, often abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. **Innermost Parentheses:** Evaluate \( (0.2 - 0.035 + 3.3) \)
\[ 0.2 - 0.035 + 3.3 = 0.165 + 3.3 = 3.465 \]

2. **Next Parentheses:** Substitute the result back into the expression
\[ 14.2 + 3.465 \]
\[ 14.2 + 3.465 = 17.665 \]

3. **Next Parentheses:** Substitute the result back into the expression
\[ 0.25 - 17.665 \]
\[ 0.25 - 17.665 = -17.415 \]

4. **Outermost Parentheses:** Substitute the result back into the expression
\[ 1.36 - (-17.415) \]
\[ 1.36 + 17.415 = 18.775 \]

Therefore, the value of \( T \) is:
\[ T = 18.775 \]

Would you like more details or have any other questions?

Here are 8 related questions to expand your knowledge:

1. How do you handle nested parentheses in mathematical expressions?
2. What is the order of operations and why is it important?
3. Can you provide an example with exponents and parentheses?
4. How would you solve \( T = 1.36 - \{0.25 - [14.2 + (0.2 - 0.035 - 3.3)]\} \)?
5. What is the difference between addition and subtraction in terms of operations on numbers?
6. How do you simplify expressions with multiple operations?
7. What strategies can help with complex arithmetic problems?
8. How does the commutative property apply to addition and subtraction?

**Tip:** Breaking down complex expressions step by step and solving the innermost parentheses first can simplify the problem and reduce the chance of errors.

Learn how to solve the mathematical expression T = 1.36 - {0.25 - [14.2 + (0.2 - 0.035 + 3.3)]} step-by-step with detailed explanations. This problem involves nested parentheses and arithmetic operations, suitable for high school students studying algebra and order of operations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation