10 of 1110 of 11 Items

Question
Which expression is equivalent to 12 x 8?(1 point)
Responses

(8 x 10) x (8 x 2)
(8 x 10) x (8 x 2)

(12 x 8) x (12 x 8)
(12 x 8) x (12 x 8)

(8 + 10) x (8 + 2)
(8 + 10) x (8 + 2)

(8 x 10) + ( 8 x 2)

1 answer

To determine which expression is equivalent to \(12 \times 8\), we can apply the distributive property of multiplication over addition.

The expression that matches this requirement is:

\[ (8 \times 10) + (8 \times 2) \]

This is because, by distributing \(8\) across \(12\) (which can be expressed as \(10 + 2\)), we get:

\[ 12 \times 8 = (10 + 2) \times 8 = (8 \times 10) + (8 \times 2) \]

Thus, the correct response is:

\((8 x 10) + (8 x 2)\)