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

Let's break down and solve the expression step by step:

The given expression is:

\[
1.36 - \left\{0.25 - \left[14.2 + \left(0.2 - 0.035 + 3.3\right)\right]\right\}
\]

### Step 1: Simplify the innermost parentheses
We first deal with \( 0.2 - 0.035 + 3.3 \):
\[
0.2 - 0.035 = 0.165
\]
\[
0.165 + 3.3 = 3.465
\]

### Step 2: Update the expression
Now the expression becomes:
\[
1.36 - \left\{0.25 - \left[14.2 + 3.465\right]\right\}
\]

### Step 3: Simplify the brackets
Now simplify \( 14.2 + 3.465 \):
\[
14.2 + 3.465 = 17.665
\]

### Step 4: Update the expression
The expression is now:
\[
1.36 - \left\{0.25 - 17.665\right\}
\]

### Step 5: Simplify the curly brackets
Simplify \( 0.25 - 17.665 \):
\[
0.25 - 17.665 = -17.415
\]

### Step 6: Final calculation
Now, simplify \( 1.36 - (-17.415) \):
\[
1.36 + 17.415 = 18.775
\]

### Final answer:
\[
1.36 - \{0.25 - [14.2 + (0.2 - 0.035 + 3.3)]\} = 18.775
\]

Would you like any more details or have any questions about the process?

### Related questions:
1. How would the result change if the expression inside the curly brackets was positive?
2. Can you express the entire calculation using a single fraction?
3. What happens if we reverse the operations inside the brackets?
4. How does adding parentheses in different places affect the outcome?
5. Can this expression be graphed, and what would it look like?

**Tip:** When dealing with nested brackets, always start simplifying from the innermost ones to avoid mistakes.

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

Learn how to solve the arithmetic expression 1.36 - {0.25 - [14.2 + (0.2 - 0.035 + 3.3)]} by simplifying nested brackets step by step. This solution demonstrates the proper use of order of operations, covering addition and subtraction. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation