Question

Which of the following is an equivalent expression to 4(12)?

*Equivalent means equal

*Parentheses with two numbers next to each other mean multiplication

(1 point)
Responses

4(4) + 4(3)
4(4) + 4(3)

4(10 + 2)
4(10 + 2)

4(10)
4(10)

4(10) + 4

Answer 1

To determine which of the given expressions is equivalent to \( 4(12) \), we can evaluate each option:

1. **Option 1**: \( 4(4) + 4(3) \)
- Calculate: \( 4(4) = 16 \) and \( 4(3) = 12 \)
- So, \( 4(4) + 4(3) = 16 + 12 = 28 \)

2. **Option 2**: \( 4(10 + 2) \)
- Use the distributive property: \( 4(10 + 2) = 4(12) \)
- This is equal to \( 4(12) \), which is \( 48 \)

3. **Option 3**: \( 4(10) \)
- Calculate: \( 4(10) = 40 \)

4. **Option 4**: \( 4(10) + 4 \)
- Calculate: \( 4(10) = 40 \), so \( 4(10) + 4 = 40 + 4 = 44 \)

The only expression that is equal to \( 4(12) \) is **Option 2: \( 4(10 + 2) \)**.

Thus, the equivalent expression to \( 4(12) \) is:

**4(10 + 2)**