SLALG 8th GR unit 1 SL Algebra 8th Grade Unite 1

absolute value the distance of a number from zero on a number line
additive inverse the property that states that the sum of two inverse (opposite) numbers equals zero : a + (-1) = 0
base The number that is going to be raised to a power.
Closure Property a set of numbes is closed under an operation when that operation is performed on any two numbers from that set and the result is always a number in that set. For all real numbers a and b a + b and ab are unique real numbers pg 5
counterexample a case for which a statement is not true pg. 5
exponent the number that indicates how many times the base is used as a factor pg 10
irrational numbers a number that cannot be expressed in the form a/b where a and b are intergers and b ? 0, a nonrepeating and nonterminating decimal
multiplicative identity The "Multiplicative Identity" is 1, because multiplying a number by 1 leaves it unchanged – a ? 1 = 1 ? a = a
multiplicative inverses the reciprocal of a number. If a ? 0 than 1/a is the multiplicative inverse or reciprocal of a pg 9 ex Example: 8 ? (1/8) = 1
nonperfect square a number that is not the square of a natural number pg 3
perfect square the square of a natural number (1,2,3,4,…18,19 etc) pg 2
radical an equation that contains a variable within a radicand pg 234 / An expression that has a square root, cube root, etc.
rational numbers a number that can be written in fraction form a/b, where a and b are intergers and b ? 0 pg 2 A number that can be made by dividing two integers. (An integer is a number with no fractional part.)
real numbers the set of rational numbers and the set of irrational numbers together form the set of real numbers pg 4
reciprocal the multiplicative inverse of a number pg 9 / To get the reciprocal of a number, we divide 1 by the number. Example: the reciprocal of 2 is ? (a half)
scientific notation a way of writing numbers as the prodcut of a number that is at least 1 but less than 10 and a power of 10 pg 14
integer A number with no fractional part
whole numbers The numbers {0, 1, 2, 3, …} etc. There is no fractional or decimal part. And no negatives. There is no fractional or decimal part. And no negatives. INCLUDES ZERO
natural numbers The whole numbers from 1 upwards: 1, 2, 3, and so on …Or from 0 upwards in some fields of mathematics: 0, 1, 2, 3 and so on …No negative numbers and no fractions. DOES NOT INCLUDE ZERO
Commutative Property a + b = b + a OR a b = b a
Associative Property a + b + c = (a + b) + c = a + (b + c)
Identity Property a + 0 = a and 0 + a = a / a * 1 = a
Inverse Property for every real number a there is a unique real number -a so a + -a = 0 / for every nonzero real number a, there is a unique real number 1/a so a * 1/a = 1
Distributive Property a * (b + c) = a * b + a * c AND (b + c) * a = b * a + c * a
additive inverse is what we add to a number to get zero. Example: The additive inverse of ?5 is +5, because ?5 + 5 = 0.
multiplicative inverse is what we multiply a number by to get 1. Example: The multiplicative inverse of 5 is 1/5 , because 5 ? 1/5 = 1