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place value system

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

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number line

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

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integers

are whole numbers and there opposites

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comparing integers

use less than, equal to,or greater than

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additive inverse

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

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absolute value

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

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exponent

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

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*definition

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

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*definition

anything raised to the zero exponent equals zero

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*TIP

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

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commutative property of addition

changing the order of two addends does not change the sum

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associative property of addition

changing the grouping of addends does not change the sum

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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

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NOTE cont.

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

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to subtract

we add, its additive inverse

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4 opporations in math

addition, subtraction,multiplication,and division

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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

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subtraction

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

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multiplication

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

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divide

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

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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

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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

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algebraic expressions

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

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