Question

Is the product of -5x -3 x -2 positive or negative explain how you know?

Answer 1

The product of -5x - 3 x -2 is positive.

Step-by-step explanation:

The product of -5x - 3 x -2 is positive.

When two negative numbers multiply, the answer has a positive sign. In this case, we have -3 x -2 = 6, which is positive. Therefore, the product of -5x - 3 x -2 is positive.

To determine whether the product of

−

5

�

,

−

3

,

and

−

2

−5x,−3, and −2 is positive or negative, we can use the rule that the product of an odd number of negative factors is negative, and the product of an even number of negative factors is positive.

In this case, we have three negative factors:

−

5

�

,

−

3

,

and

−

2

−5x,−3, and −2. Since three is an odd number, the product of these factors will be negative.

Therefore,

−

5

�

×

−

3

×

−

2

−5x×−3×−2 is negative.

Answer 2

The product of -5x -3 x -2 is positive.

Step-by-step explanation:

To determine the sign of the product, we consider the multiplication of the three factors: -5x, -3, and -2. When two negative numbers are multiplied, the result is always positive. In this case, both -5x and -2 are negative. Thus, multiplying them gives a positive value. Now, we introduce the factor -3 into the equation. Since -3 is also negative, multiplying it by the positive result of -5x and -2 doesn't change the sign; it remains positive.

In mathematical terms, (-5x) * (-3) * (-2) = (+15x) * (-2) = -30x. Despite the presence of variables, the coefficients' multiplication determines the overall sign, which is positive in this instance.

In summary, the product of -5x -3 x -2 is positive due to the multiplication of two negative coefficients resulting in a positive value, and the subsequent multiplication by another negative coefficient maintaining the positive sign.