Question: Distribute means to give to things equally.
The following ARE examples of using the "Distributive Property".
Example 1
$-3(x + 4) = -3 \cdot x + -3 \cdot 4$
Example 2
$5 \cdot 38$
$5 \cdot (30 + 8) = 5 \cdot 30 + 5 \cdot 8$
Select the correct response:
True
False
position_hint: center
1. **State the problem:** Determine if the given examples correctly demonstrate the distributive property.
2. **Recall the distributive property formula:**
$$a(b + c) = ab + ac$$
This means multiplying a number by a sum is the same as multiplying the number by each addend separately and then adding the results.
3. **Check Example 1:**
$$-3(x + 4) = -3 \cdot x + -3 \cdot 4$$
This matches the distributive property formula exactly.
4. **Check Example 2:**
$$5 \cdot 38$$
Rewrite 38 as $30 + 8$:
$$5 \cdot (30 + 8) = 5 \cdot 30 + 5 \cdot 8$$
This also matches the distributive property.
5. **Conclusion:** Both examples correctly use the distributive property.
**Final answer:** True