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(10) + 4
4(10) + 4

4(10)
4(10)

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

4(10 + 2)

Answer 1

To determine the equivalent expression to \(4(12)\), let's first compute \(4(12)\):

\[ 4(12) = 48 \]

Now let's evaluate each of the options given:

1. \(4(10) + 4\): \[ 4(10) + 4 = 40 + 4 = 44 \] (Not equivalent)

2. \(4(10)\): \[ 4(10) = 40 \] (Not equivalent)

3. \(4(4) + 4(3)\): \[ 4(4) = 16 \quad \text{and} \quad 4(3) = 12 \] \[ 4(4) + 4(3) = 16 + 12 = 28 \] (Not equivalent)

4. \(4(10 + 2)\): \[ 4(10 + 2) = 4(12) = 48 \] (Equivalent)

The correct response is:

\(4(10 + 2)\).