https://file.aiquickdraw.com/mathbot/file/1726456741852u1npzmtq.jpg

In the image, we see a solution labeled as "Sophie's Solution" which involves simplifying the following expression:

\[
36 - 20 \div 4 \times 5 + 3
\]

Here is the breakdown of the solution:

1. **Step 1**: Follow the order of operations (PEMDAS/BODMAS):
   - Division and multiplication come before addition and subtraction.
   - First, calculate \( 20 \div 4 = 5 \), then \( 5 \times 5 = 25 \).

So, the expression becomes:
\[
36 - 25 + 3
\]

2. **Step 2**: Now perform the subtraction and addition from left to right:
   \[
36 - 25 = 11
\]
\[
11 + 3 = 14
\]

Thus, the final result is:
\[
\boxed{14}
\]

The "yes" circle at the bottom indicates that the solution is correct.

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

Here are 5 related questions to expand your understanding:

1. What is the correct order of operations (PEMDAS/BODMAS)?
2. How would the solution change if the division and multiplication operations were swapped?
3. What would happen if parentheses were introduced in the original equation?
4. How do you handle mixed operations like division, multiplication, and addition?
5. Can you think of another example where the order of operations changes the result?

**Tip**: Always resolve any parentheses and exponents before moving to multiplication and division when applying order of operations!

36 - 20 ÷ 4 × 5 + 3. Is Sophie's solution correct?

Discover how to correctly solve the arithmetic expression 36 - 20 ÷ 4 × 5 + 3 using the order of operations (PEMDAS). Follow a step-by-step guide to simplify the expression, understand the importance of division and multiplication first, and arrive at the correct result of 14. Suitable for students in Grades 5-7.

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