Final answer:
The expression 2(12+2) can be rewritten using the distributive property as 2×12 + 2×2, which simplifies to 24 + 4. The final answer is 28.
Step-by-step explanation:
The expression 2(12+2) can be rewritten using the distributive property of multiplication over addition. This property tells us that you can multiply the number outside the parentheses by each term inside the parentheses separately, and then add the results together. Thus, we apply the property as follows:
- Multiply 2 by 12 to get 24.
- Multiply 2 by 2 to get 4.
- Add the results from the previous two steps.
Therefore, the rewritten expression is 2×12 + 2×2, which simplifies to 24 + 4. When you combine these terms, you get the final answer: 28.