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(The product of 33 negative numbers) x (2 positive numbers) = (negative sign) x (positive sign) = negative sign
A product is the answer when you multiply numbers or terms together. The product of two positive numbers is positive. ie. 2x2=4. The product of two negative numbers is positive. ie -(2)x(-2)=4 The product of a negative number and positive number is a negative number. ie. (-2)x 2=-4 In general, multiply the numbers as you normally would, and if the signs are different. the product is negative. If the signs are all the same, the product is positive. Remember that if a negative number is outside brackets, the question might be approached a bit differently.
If you know that the product of 2 negative numbers is positive, then the product of 4 negative numbers has to be positive. The product of the first two negative numbers is positive and the next two negative numbers is positive. Multiplying the product of the first two numbers (positive number) and the product of the last two numbers (also positive), is a positive number times a positive number which is positive. Let a, b, c and d be negative numbers: (a*b*c*d) = (a*b)*(c*d) (-ve*-ve*-ve*-ve)=(-ve*-ve)*(-ve*-ve)= (+ve)*(+ve) = (+ve)
If all three numbers are positive then the product obviously has to be positive. If TWO of the three numbers are negative, then the product is also positive. But if exactly ONE of the three numbers is negative or if all THREE are negative, then the product must be negative. In general, a product of numbers is negative if an ODD NUMBER of the terms is negative.
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