Algebra

How would you Explain how you would decide whether the product of three numbers is positive or negative?

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2017-10-02 22:29:05
2017-10-02 22:29:05

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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2017-09-30 08:00:39
2017-09-30 08:00:39

If an odd number of the three multiplicands was negative then so is their product.

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2017-09-29 02:23:35
2017-09-29 02:23:35

The following rules work for the product of ANY amount of numbers.* If one of the numbers is zero, the product is zero.

* Otherwise, if the number of negative numbers is even (0, 2, 4, 6, etc.), the product is positive.

* Otherwise the product is negative.

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Related Questions


Negative because product of 47 negative numbers is negative and product of three positive number is Positive , so negative*positive = Negative.


if 2 positive numbers are multiplied, then the product is positive. if 2 negative numbers are multiplied, the product is positive. if a positive and a negative number are multiplied, the product is negative.


It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.


The product of negative number and a positive number is always a negative. The product of two positive numbers, or two negative numbers, is always a positive.


(The product of 33 negative numbers) x (2 positive numbers) = (negative sign) x (positive sign) = negative sign


No. The product of two opposite numbers is always negative. Negative x positive = negative and Positive x negative = negative


because you can get a positive number as EITHER a product of 2 positive numbers OR the product of the negatives of the SAME 2 numbers; the product of 2 negative numbers is positive.


The product of all those numbers will always be a negative number.


The product of two positive numbers or two negative numbers is a positive number.


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)


False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.


The product of three positive numbers is positive. The product of three negative numbers is negative.


The same as two positive numbers, except the product will be negative.


Yes because the product of each pair of negative numbers must be positive.


Positive. The product of even numbers of negative integers is always positive, whereas the product of odd nummbers of negative integers is always negative.



positive x positive = positive negative x negative = positive negative x positive = negative


No, the product of two negative numbers is always a positive.


The product is positive.The rule is, "Numbers with like signs give a positive product.", and conversely, "Numbers with unlike signsgive a negative product."


The product of two negative numbers is a positive number. Ergo, the product of the square of a number is equal to the square of its negative equivalent.


No, it can't be. The product of an odd number of negatives is negative.The product of an even number of negatives is positive.(The product of each two of your 6 negatives is positive, so you wind upwith the product of three positive numbers.)


Negative times negative equals positive. Positive times positive equals positive. Positive times negative equals negative. If you have more than two numbers, multiply the first two and then apply these rules to each successive number in turn.


If two numbers have the same sign, their product is positive. If two numbers have opposite signs, their product is negative. So the answer is 'yes'.


A positive times a positive equals a positive, a negative times a negative equals a positive, a negative times a positive equals a negative(vice versa for the last one)


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.



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