 Real Numbers- any numbers that are real.  Rational Numbers- is a number where two numbers that can be written as a fraction.  Integers-can be written as a positive or negative number.  Whole Numbers-are only positive.

 Rules of addition  Words to add two numbers with the same sign,add their absolute values.The sum has the same sign as the numbers added.  8+7=15 -6+(-10)=-16  Words to add numbers with different signs,subtract the lesser absolute value from the greater absolute value.The sum has the same sign as the number with the greater absolute value.  -12+7=-5 18+(-4)=14

 Subtraction Rule- subtract a number from a number add the opposite of the first number to the second number.  3-2=1  3+(-2)

 The sign of a product  Words the product of two real numbers with the same sign is positive  3(4)=12 -6(-3)=18  The product of two real numbers with different signs is negative  2(-5)=-10 -7(2)=-14

The Distributive Property is where you take a(b+c)= (ab)+(ac)

 Inverse property of multiplication  The product of a nonzero number and its multiplicative inverse is 1  Division rule to divide a number A by a nonzero number B, multiply A by the multiplicative inverse of B  The sign of a quotient  The quotient of two real numbers with the same sign is positive  The quotient of two real numbers with different signs is negative  The quotient of 0 and any nonzero real number is 0

 Square root of a number  If b 2 =a then b is a square root of a  3 2 =9and -3 2 =9 so 3 and -3 are square roots of 9