What is the sign of the product (3)(–3)(–2)(4)?
Positive, because the products (3)(–3) and (–2)(4) are negative, and the product of two negative numbers is positive
Positive, because the products (3)(–3) and (–2)(4) are positive, and the product of two positive numbers is positive
Negative, because the products (3)(–3) and (–2)(4) are negative, and the product of two negative numbers is negative
Negative, because the products (3)(–3) and (–2)(4) are positive, and the product of two positive numbers is negative
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If you separate them like done in the possible choices it is noticed that:
Both of them are initially negative
The final answer is a positive
In a long product of many factors, count the number of negatives. An odd number of negatives gives a negative result. An even number of negatives gives a positive result.
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Any number of only positive factors has a positive product.
Any number of positive factors and one single negative factor has a negative product.
The reason an odd number of negatives gives a negative result is that for any odd number of negatives, there will always be one negative left over. Every two negatives multiply together to be positive, but since there is an odd number of negatives, there is one negative left over. That negative makes the product negative.
So it's C correct?
It would be A because the products are negative and the product of two negatives is a positve