1. **Problem:** Use the associative property to show that the expressions are equal for (2 + 5) + 3.
2. **Formula:** The associative property of addition states that for any numbers $a$, $b$, and $c$,
$$ (a + b) + c = a + (b + c) $$
This means the way numbers are grouped when adding does not change the sum.
3. **Step-by-step solution:**
1. Start with the left side: $(2 + 5) + 3$
2. Calculate inside the parentheses first: $2 + 5 = 7$
3. So, $(2 + 5) + 3 = 7 + 3$
4. Calculate the sum: $7 + 3 = 10$
5. Now, look at the right side: $2 + (5 + 3)$
6. Calculate inside the parentheses: $5 + 3 = 8$
7. So, $2 + (5 + 3) = 2 + 8$
8. Calculate the sum: $2 + 8 = 10$
9. Both sides equal 10, so
$$ (2 + 5) + 3 = 2 + (5 + 3) = 10 $$
This confirms the associative property.
**Final answer:** $10$
Associative Property 8B44Ea
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