What is the sign of the product (-2)(4)(-6)(-3)
The sign of the product is positive.
To determine the sign of the product (-2)(4)(-6)(-3), we need to count the number of negative signs. In this product, there are an even number of negative signs (two negatives: -2 and -3), which means that the product will be positive.
To determine the sign of the product (-2)(4)(-6)(-3), we need to first understand the rules of multiplying positive and negative numbers.
When multiplying two positive numbers, the result is always positive. When multiplying two negative numbers, the result is also positive. However, when multiplying a positive number with a negative number, the result will be negative.
Let's calculate the product step by step:
(-2)(4)(-6)(-3)
First, we multiply -2 and 4: (-2)(4) = -8
Next, we multiply -8 and -6: (-8)(-6) = 48
Finally, we multiply 48 and -3: (48)(-3) = -144
Therefore, the product of (-2)(4)(-6)(-3) is -144.
The answer is negative (-144) because the given expression had an odd number of negative signs.