To get 28 by placing parentheses in the expression \( 5 - 3 \times 2 + 8 \times 5 - 2 \), you can structure it like this:

\[
5 - (3 \times 2) + (8 \times 5) - 2
\]

Here's how it works step by step:
1. \( 3 \times 2 = 6 \)
2. \( 8 \times 5 = 40 \)
3. Now, the expression becomes: \( 5 - 6 + 40 - 2 \)
4. Simplify: 
   - \( 5 - 6 = -1 \)
   - \( -1 + 40 = 39 \)
   - \( 39 - 2 = 37 \)

So, placing parentheses like that doesn't give 28. Let's try another arrangement.

If we adjust the parentheses like this:

\[
(5 - 3) \times (2 + 8) - 2
\]

Now simplify:
1. \( 5 - 3 = 2 \)
2. \( 2 + 8 = 10 \)
3. Now the expression becomes: \( 2 \times 10 - 2 \)
4. Simplify:
   - \( 2 \times 10 = 20 \)
   - \( 20 - 2 = 18 \)

Still not 28. Trying once more:

Finally, placing parentheses like this:

\[
5 - ((3 \times 2) + 8) \times 5 - 2
\] gives:

1. \( 3 \times 2 = 6 \)
2. \( 6 + 8 = 14 \)
3. \( 14 \times 5 = 70 \)
4. Simplifying the expression:
  * \(   5 - (70) matches

5 - 3 * 2 + 8 * 5 - 2, place parentheses to get 28.

Learn how to place parentheses in the expression 5 - 3 * 2 + 8 * 5 - 2 to achieve the result of 28. This problem covers core algebraic concepts such as order of operations and proper parentheses placement. Suitable for students in Grades 6-8.

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