## Operations with Positive and Negative Integer Notes

Accentuate the Negative

Rational number are numbers that can be expressed as one integer divided by another integer b, when b is not zero. You can write a rational number in the form a/b or in decimal form.

Negative Number is a number less than zero.

Positive Number is a number greater than zero.

Opposites are two numbers that are the same distance from zero. Also two numbers with the same absolute value! For example, 142 and -142 or -24 and 24.

Rules for Integers

To Add:
-with same signs add and keep the sign. ie.(-2) + (-5) = -7

-with different signs, subtract and keep the sign of the larger. ie (-9 + 6) = -3

To Subtract: Add the opposite. ie. (-5) - (-3) = -5 + 3= -2

To Multiply:
- if the signs are the same the product is positive. ie. (-3) x (-6) = 18

- if the signs are different the product is negative. ie. (-6) x 4 = -24

To Divide:
- if the signs are the same the quotient is positive. ie. (-20) / (-5) = 4

- if the signs are different the quotient is negative. ie.  81 / (-9) = -9

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