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Operations w/sign#s
MTH005 Ch 1 Operations with Real Numbers
Operation | Rules |
---|---|
Addends with Like Signs | Add and use the sign of the addends. |
Addends with Unlike Signs | Find the difference of the absolute values of the numbers. The sign of the sum is the same as the sign of the number with the largest absolute value. |
Subtraction with Real Numbers | 1) Change the minus sign to a plus sign. 2) Change the subtrahend to its opposite. 3) Use the rules of addition of sign numbers to evaluate the sum. |
Opposite of a Difference | For any real numbers a and b, -(a - b) = b - a |
Multiplication of Sign Numbers | To multiply any two real numbers, the sign is 1) Positive if the numbers have like signs. 2) Negative if they have unlike signs. |
Multiplying 3 or More Real Number Factors | The sign of the product is Positive if there are an even number of negative signs. The product is negative if there is an odd number of negative signs. |
Division of Real Numbers | The quotient is 1) Positive if the divisor/denominator and dividend/numerator have like signs. 2) Negative if the divisor/denominator and dividend/numerator have unlike signs. |
Property of Signs in Quotients | If a fraction has 1 opposite sign, the sign can be placed in the numerator, denominator, or in front of the fraction; 2 opposite signs, they can both be removed; 3 opposite signs, any 2 can be removed. |