place value system

number system in which the location, or place,where a digit is written gives it a different value

number line

like a thermometer turned sideways,used to show how numbers relate to each other

integers

are whole numbers and there opposites

comparing integers

use less than, equal to,or greater than

additive inverse

everyone in the number line has an evil twin,inverse= opposite sign

absolute value

think of GOD, when talking to him you want the results to be positive

exponent

tells us to multiply the base by itself, equal to the value of the exponent

*definition

one (1) raised to any power, answer is always 1

*definition

anything raised to the zero exponent equals zero

*TIP

if the value of the variable equals a negitive integer,place the negative value in parenthesis

commutative property of addition

changing the order of two addends does not change the sum

associative property of addition

changing the grouping of addends does not change the sum

NOTE

when using the associative property to make the addition of a group of numbers easier:look for two numbers whose sum is zero,look for two numbers whose sum is a multiple of ten,sum ends in o

NOTE cont.

if neither of these occur look for two numbers that are easier for you to add.

to subtract

we add, its additive inverse

4 opporations in math

addition, subtraction,multiplication,and division

rules for signed numbers ADDITION

if the signs are the same add the numbers,take the sign,if the signs are different subtract the numbers,take the sign of the larger number

subtraction

change the sign of the secound number.then follow rules for addition

multiplication

multiply the numbers,if the signs are the same the answer is positive,if signs are different answer is negative

divide

divide the numbers, if sign is the same answer is positive, if different the answer is negative

numerical expressions

please,we want good parenthesis or one integer,solve the absolute value,excuse,exponent,my dear, multiplication or division**read left to right**do one oporation at a time

1st find the oporation

first integer- rewrite it,2 subtraction- change to addition 3) 2nd integer- write its additive inverse(4) apply the addition rules

algebraic expressions

only two rules (1) replace each variable with its value (2) use the rules (PEMDAS)