Which expression represents another method of computing the product given below?

Question

-1.45 x 76

A.
(-1)(-1.45 + 76)
B.
(-1)(-1.45 × 76)
C.
(-1)(-1.45 - 76)
D.
(-1)((1 × 76) + (0.45 × 76))

Answer 1

To compute the product \(-1.45 \times 76\), we can break down \(-1.45\) into \(-1\) and \(-0.45\) and then factor out the \(-1\).

We can express \(-1.45 \times 76\) as: \[ -1 \times (1.45 \times 76) \]

Now, we can rewrite \(1.45\) as the sum of \(1\) and \(0.45\): \[ -1.45 \times 76 = -1 \times ((1 + 0.45) \times 76) = -1 \times (1 \times 76 + 0.45 \times 76) \]

Thus, the expression \(-1 \times ((1 \times 76) + (0.45 \times 76))\) matches option D.

Therefore, the correct answer is: D. (-1)((1 × 76) + (0.45 × 76)).