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# The Number System

TermDefinition
Integer The whole numbers and their opposites.
Signed Number Positive and negative numbers.
Absolute Value The distance a number is from 0 on a number line
Additive Inverse A number that when added to another number gives the sum zero.
Commutative Property of Addition Numbers can be added in any order and the sum will remain the same. a + b = b + a
Associative Property of Addition Changing the grouping in which numbers are added, doesn't affect the result of the sum. (a + b) + c = c + (b + a)
Additive Property Any number added to 0 remains unchanged. a + 0 = a
Commutative Property of Multiplication Numbers can be multiplied in any order and the product will remain the same. a(b) = b(a)
Associative Property of Multiplication Changing the grouping in which numbers are multiplied, doesn't affect the result of the product. (a * b) * c = c * (b * a)
Distributive Property The property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. a x (b + c) = (a x b) + (a x c)
Multiplicative Identity Property You can multiply 1 to any number and it keeps its identity. The product remains the same. a * 1 = a
Zero Property of Multiplication The product of any number with zero is 0. a * 0 = 0
Complex Fraction A fraction with a fraction in the numerator and/or a fraction in the denominator.
Rational Number Repeating or terminating decimals; any decimal that can be written in fraction form.
Repeating Decimal A decimal in which, after a certain point, one digit or a set of digits repeat themselves an infinite number of times.
Terminating Decimal A decimal form of a rational number that ends in zero.
Created by: Mrs.Irish