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# 1 Rational Numbers

### Rational Numbers

TermDefinition
algebraic expression a mathematical phrase that has at least one variable, and it can contain numbers and operation symbols
additive inverses Two numbers with the sum of zero
bar notation is used to indicate the digits that repeat in a repeating decimal. The numbers that lie underneath are the numbers that repeat.
non-terminating a decimal that continues on infinitely without ending in a sequence of zeros.
non-repeating a decimal that continues without terminating and without repeating a sequence of digits. They are not rational numbers.
repeating a decimal in which a digit, or a group of digits, repeat(s) infinitely. These are rational numbers.
terminating a decimal that has a finite number of digits, meaning that after a finite number of decimal places, all following decimal places have a value of 0. These are rational numbers.
commutative property CHANGE ORDER -for any numbers a and b, the product a x b is equal to the product b x a as well as the sum a +b = b+ a.
associative property CHANGE GROUPING - for any numbers x, y and z, the product (xy)z = x(yz) as well as the sum x + (y +z)= (x+y) +z.
distributive property MULTIPLY ACROSS PARENTHESES states that for any numbers a, b, and c, a(b + c) = ab + ac and a(b - c) = ab - ac.
rational numbers the set of numbers that can be written as a/b , where a and b are integers and b does not 0. All Fractions. Decimals that repeat or terminate. Integers. Whole and Natural numbers.
integer the set of whole numbers and their opposites {...-3, -1, 0, 3, 6...}
whole numbers the set of zero and counting numbers {0, 1, 2, 3, 4...}
natural numbers the set of counting numbers {1, 2, 3, 4.....}
equivalent expressions that have the same value or meaning