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 b2=a then b is a square root of a 32=9and -32=9 so 3 and -3 are square

roots of 9

b