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

Question

*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)