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# Why does the sign change when multiplying and dividing negative numbers?

Updated: 4/28/2022 Wiki User

14y ago

It changes because two negatives make a positive!!!!!!!!!!!! Wiki User

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Q: Why does the sign change when multiplying and dividing negative numbers?
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### How do you multiplies and divides integers?

Multiplying and dividing integers is real easy. All you have to do is do regular dividing and multiplying keeping in mind these simple rules: RULES: 1: When multiplying or dividing integers, when the numbers are a positive, positive they equal a positive. When the numbers are negative, negative they equal a positive. In other words, same signs equal positive. 2: This rule is very similar to the rule above. The only change is that when the signs are different, they equal a negative. ( negative, positive= negative, positive, negative= negative.) Please correct me if I'm wrong. Multiply integers- my notes from class positive x positive= positive positive x negative= negative negative x negative= positive Divide integers- again my notes from class positive divided by a positive= positive negative divided by a negative= positive negative divided by a positive= negative Dividing integers are simple if the number has a different sign than the other it is always negative but if they have the same sign its always positive ex. -20/5=-4 ex. -20/-4=-5

### Why the product of two negative numbers is positive.?

Multiplying something by a negative number makes it change signs. A positive number multiplied by a negative is negative therefore a negative * a negative is positive.

### Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction by 1?

because of mathematical equivalence: it doesn't change the result

### How do you change 123.456 into a fraction?

123.456 is changed into fraction by multiplying and dividing it by a number such that both denominator and numerator don't contain decimal. Multiplying and dividing by 100, we get 123.456 as 123456/100.

### What are the rules in adding subtracting multiplying and dividing integers?

Adding integers, if they have the same sign, add their absolute values and keep the same sign. Subtracting, change the sign of the 2nd number and the add using rules of addition. Multiplying and dividing, Divide the absolute values, if the signs are the same the answer is positive, if the signs are different the answer is negative.

### Can zero change a sum?

Adding or subtracting zero cant, multiplying or dividing by zero can.

### Why do you change mixed numbers to improper fractions before multiplying and dividing?

Because common denominators allow adding and subtracting of numerators. Improper fractions also have simplified rules over mixed numbers when performing multiplication and division.

You don't.

### When multiplying mixed numbers and fractions does changing the order of the factors change the product?

No. The commutative and associative laws are valid for any real numbers.

### Does the inequality sign change with equations?

the inequality sign will only change in an equation if you are multiplying or dividing by a negative number... for example if you have the equation -1x+2&gt;3 you would subtract by 2 you would have -1x&gt;1 the next step is -1x&gt;1 -1 -1 your dividing by -1 so the sign flips from greater than to less than (it can go less than to greater than too) and your final answer would be x&lt;-1

### What are the rules when adding or subtracting negative numbers?

When subtracting negative numbers change the subtraction sign to a plus and change the second number (which would appear to be positive) to a negative. ex. -14 - 7=?/-14 + -7= -21 When adding negative numbers just add them as they appear. ex. -2 + -5= -7