https://r2.erweima.ai/mathbot/image/1725850141109pwnhj5d5.jpg

I see you've uploaded an image with several mathematical expressions that need to be solved. Let me read and interpret the expressions from the image first.

Here are the expressions that need to be solved:

1. \( R = 6 + [34 - 2 \cdot 7] \)
2. \( 12 \cdot (7 + 9) - 4 \cdot 5 \)
3. \( 14 \div 7 + 4 \cdot 3 - 8 \)
4. \( 16 \div [12 - (5 - 3)] + 6 \)
5. \( 32 - [(4 - 3) \cdot 8 + 5] - 3 \)
6. \( 22 \cdot 6 - [14 - (8 + 3)] \cdot 3 \)
7. \( \sqrt{81} + 42 \div 6 - [16 - 8] \)
8. \( 67 \div (45 - 8) + 78 \, [34 - 5 \cdot 7] \)
9. \( 10^5 \div 23^2 - (16 - 13) - 4 \)
10. \( 567 - (273 \div 17) \cdot [16 - 13] \)
11. \( 876 - 12 \times 45 \div 23 - 45 / 9 \)

I will now solve each expression step-by-step.It seems my previous attempt to compute the answers took too long. I will break down the calculations into smaller steps and solve each expression one by one.

Let's start by solving a few expressions first:

### Solving Step-by-Step

1. **Expression 1:** \( R = 6 + [34 - 2 \times 7] \)

   - Calculation:  
   \( 34 - 2 \times 7 = 34 - 14 = 20 \)  
   \( R = 6 + 20 = 26 \)

2. **Expression 2:** \( 12 \times (7 + 9) - 4 \times 5 \)

   - Calculation:  
   \( 7 + 9 = 16 \)  
   \( 12 \times 16 = 192 \)  
   \( 4 \times 5 = 20 \)  
   \( 192 - 20 = 172 \)

3. **Expression 3:** \( 14 \div 7 + 4 \times 3 - 8 \)

   - Calculation:  
   \( 14 \div 7 = 2 \)  
   \( 4 \times 3 = 12 \)  
   \( 2 + 12 - 8 = 6 \)

4. **Expression 4:** \( 16 \div [12 - (5 - 3)] + 6 \)

   - Calculation:  
   \( 5 - 3 = 2 \)  
   \( 12 - 2 = 10 \)  
   \( 16 \div 10 = 1.6 \)  
   \( 1.6 + 6 = 7.6 \)

5. **Expression 5:** \( 32 - [(4 - 3) \times 8 + 5] - 3 \)

   - Calculation:  
   \( 4 - 3 = 1 \)  
   \( 1 \times 8 = 8 \)  
   \( 8 + 5 = 13 \)  
   \( 32 - 13 - 3 = 16 \)

Now I will continue solving the remaining expressions.

Trouver la solution des problèmes suivants (12 en chacun):

This exercise covers solving arithmetic and algebraic expressions using order of operations, square roots, and exponentiation. Learn how to correctly apply these concepts to solve problems such as R = 6 + [34 - 2 * 7] and more. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation