Algebra
Numbers

# When multiplying a negative number by a positive number is the result going to be negative or positive?

123 ###### 2008-11-21 21:44:51

The result will always be negative.

Positive X Positive = Positive

Negative X Negative = Positive

Positive X Negative = Negative

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## Related Questions Multiplying a positive and negative number will give a negative result. The result is a negative number. The result of multiplying a positive number by a negative number is a negative number.  In math, a product is the result of multiplying. Multiplication is distributive over positive and negative numbers, which means, when a negative number is multiplied by a positive number, it always yields a negative result. A negative number squared equals a positive number. When multiplying, odd numbers of negatives result in a negative answer, and even numbers of negatives result in a positive answer. Multiplying or dividing a positive and negative gives a negative result. Multiplying or dividing two negatives gives a positive result. When multiplying or dividing . . .If the signs of both numbers are the same, the result is positive.If the signs of both numbers are different, the result is negative. Positive A simple rule to remember this is when multiplying two numbers with the same sign, the result is ALWAYS positive. When multiplying two numbers with different signs, the results is ALWAYS negative. If you divide a positive number by a positive number, the result is positive. If you divide a positive number by a negative number, the result is negative. If you divide a negative number by a positive number, the result is negative. If you divide a negative number by a negative number, the result is again positive. It's a positive number. Here's the rule: In multiplication and division . . . -- If both numbers have the same sign, then the result of multiplying or dividing them is positive. -- If the two numbers have different signs, then the result of multiplying or dividing them is negative. Using the same principles as multiplying a negative whole number by a positive whole number, where the result would be a negative, the product of a (positive) fraction and a negative whole number would equal the product of the two, with the minus sign included. For example, 1/2 x -4 = -2. The same rule can be applied the other way around, multiplying a negative fraction by a positive number would produce the same result. Multiplying positive numbers will result in a positive number. If the two numbers you are multiplying are both negatives, the answer will be a positive,(two negatives make a positive).If you multiply a negative and a positive the result willbe a negative,(different symbols will result in negative.============================So, if I can squeeze in here for a second and actually answer the question . . .To multiply a negative number by another negative number, throw away bothnegative signs, and proceed just as if both numbers were positive. A positive number multiplied by a negative number will always result in a negative number. Consider that you have a negative times a positive, so the final result will be negative.Work out 24 x 2/3 and make sure the result is negative.When multiplying numbers, there are 2 different cases to think about with regard to the signs of the numbers:If the signs of the numbers are the same (positive and positive, or negative and negative) then the result will be positive;Otherwise if the signs are different (that is if one number is positive and the other is negative) the result will be negative. A negative number divided by a positive number equals a negative result. A positive number times (or divided by) a negative number gives a negative result.A negative number times (or divided by) a negative number gives a positive result.Thus, for example:8 / (-2) = -4(-8) / (-2) = 4A positive number times (or divided by) a negative number gives a negative result.A negative number times (or divided by) a negative number gives a positive result.Thus, for example:8 / (-2) = -4(-8) / (-2) = 4A positive number times (or divided by) a negative number gives a negative result.A negative number times (or divided by) a negative number gives a positive result.Thus, for example:8 / (-2) = -4(-8) / (-2) = 4A positive number times (or divided by) a negative number gives a negative result.A negative number times (or divided by) a negative number gives a positive result.Thus, for example:8 / (-2) = -4(-8) / (-2) = 4 It is easiest to think about the signs of the numbers separately from their values (as though the numbers were positive):First consider the signs:Multiplying positive by positive => result is positiveMultiplying positive by negative => result is negativeMultiplying negative by positive => result is negativeMultiplying negative by negative => result is positiveOr to summarise:If the numbers are the same sign (both positive or both negative) the result is positive.If the numbers are of opposite signs (one positive, one negative) the result is negative.Then multiply the values of the two numbers together (multiply them as though both were positive) and put the sign on the result as decided above.eg to multiply -24 by 3:negative times positive => result negative (different signs)24 x 3 = 72sign found in step 1 to be negative, so -24 x 3 = -72eg to multiply -15 by -1/3negative times negative => result positive (same signs)15 x 1/3 = 5sign found in step 1 to be positive, so -15 x -1/3 = 5eg to multiply 12 by -1/4positive times negative => result negative (different signs)12 x 1/4 = 3sign found in step 1 to be negative, so 12 x -1/4 = -3. Because 1 x -1 = -1, and anyway "two negatives make a positive". Multiplying two negative numbers will result in a positive number. Summing two negative numbers will result in a negative number. Multiply the positive number by any negative number and it will result in a negative number. It depends on what you do with the negative and positive. If you multiply or divide a positive number and a negative number, then the answer is negative. If you add or subtract a positive number and a negative number, the answer could be negative or positive depending on the numbers involved. If you put a negative sign in front of a positive number, the result is a negative number. If you put a positive sign in front of a negative number (like +(-7)), the result is still negative. That is correct. If you subtract a positive number from a negative number, your result is negative. Any two negative numbers multiplied by each other will result in a positive number.Any two negative numbers multiplied by each other will result in a positive number.Any two negative numbers multiplied by each other will result in a positive number.Any two negative numbers multiplied by each other will result in a positive number.Any two negative numbers multiplied by each other will result in a positive number.Any two negative numbers multiplied by each other will result in a positive number.Any two negative numbers multiplied by each other will result in a positive number.Any two negative numbers multiplied by each other will result in a positive number.Any two negative numbers multiplied by each other will result in a positive number.Any two negative numbers multiplied by each other will result in a positive number.Any two negative numbers multiplied by each other will result in a positive number.  If you multiply a negative number with a positive number, the result will be negative. If you multiply two negatives, the result will be positive.

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