What is the sign of the product (−2)(4)(−6)(−3)?
(5 points)
Group of answer choices
Positive, because the products (−2)(4) and (−6)(−3) are positive, and the product of two positive numbers is positive
Negative, because the product (−2)(4) is negative and the product (−6)(−3) is positive, and the product of a negative number and a positive number is a negative number
Positive, because the products (−2)(4) and (−6)(−3) are negative, and the product of two negative numbers is positive
Negative, because the product (−2)(4) is positive and the product (−6)(−3) is negative, and the product of a positive number and a negative number is negative
Negative, because the product (−2)(4) is negative and the product (−6)(−3) is positive, and the product of a negative number and a positive number is a negative number
The sign of the product (-2)(4)(-6)(-3) can be determined by analyzing the signs of each individual factor.
(-2) and (-6) are both negative numbers, so their product is positive.
(4) and (-3) have different signs, so their product is negative.
Since there is one negative factor, the overall sign of the product will be negative.
Therefore, the correct answer is: Negative, because the product (-2)(4) is positive and the product (-6)(-3) is negative, and the product of a positive number and a negative number is negative.
To determine the sign of the product (-2)(4)(-6)(-3), we need to consider the signs of each individual factor and how they combine.
First, let's determine the sign of (-2)(4). Since one factor is negative (-2) and the other factor is positive (4), their product will be negative.
Next, let's determine the sign of (-6)(-3). Both factors are negative, so their product will be positive.
To find the sign of the overall product, we need to consider how a negative and positive number multiply. When you multiply a negative number by a positive number, the result is always negative.
Based on this information, we can conclude that the sign of the overall product (-2)(4)(-6)(-3) is negative. Therefore, the correct answer is: Negative, because the product (-2)(4) is negative and the product (-6)(-3) is positive, and the product of a negative number and a positive number is a negative number.