36+5×1[1−0,12(1+11​)]3000(0,8+2,0465415​)​

Let's solve the expression step by step.

### Expression Given:
\[
\frac{36 + 5 \times 1 \times \left[1 - 0.12 \times \left(1 + \frac{1}{1}\right)\right] \times 3000 \times \left(0.8 + \frac{2.0465}{415}\right)}{}
\]

This is the complete expression as interpreted.

#### Step 1: Simplify the innermost part first.
\[
\frac{1}{1} = 1
\]
So, the expression inside the square brackets becomes:
\[
1 + 1 = 2
\]
\[
0.12 \times 2 = 0.24
\]
\[
1 - 0.24 = 0.76
\]

#### Step 2: Simplify the part involving multiplication.
\[
5 \times 1 \times 0.76 \times 3000 = 11400
\]

#### Step 3: Simplify the part inside the last set of parentheses.
\[
\frac{2.0465}{415} \approx 0.00493
\]
\[
0.8 + 0.00493 \approx 0.80493
\]

#### Step 4: Multiply everything together.
\[
11400 \times 0.80493 \approx 9176.2
\]

#### Step 5: Add the remaining part.
\[
36 + 9176.2 \approx 9212.2
\]

### Final Answer:
\[
\text{The value of the expression is approximately } 9212.2.
\]

Do you want details or have any questions?

---

Here are 5 related questions you might be interested in:
1. How would you approach a similar expression with variables instead of numbers?
2. How do parentheses affect the order of operations in expressions?
3. Can you show how to simplify more complex fractions with multiple terms?
4. What are the potential pitfalls of rounding during intermediate steps?
5. How can simplifying fractions help in solving expressions faster?

**Tip:** Always start by simplifying the innermost expressions first, especially when dealing with nested parentheses.

Learn how to solve the expression 36 + 5 × 1 [1 − 0.12 (1 + 1)] 3000 (0.8 + 2.0465 / 415) step-by-step with detailed calculations. This problem covers arithmetic operations with parentheses, fractions, and multiplication. Suitable for general mathematics understanding.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation