Everyday Math Unit 6 Vocabulary Miss Beasley

6.1 and 6.2 Reciprocals- pairs of numbers whose product is 1. – Example: 2 is the reciprocal of ½ Division of Fractions Property- Makes division with fractions easier. It is the same as multiplying by the reciprocal. – Example: 4 ÷ ½= 4 * 2

6.3 and 6.4 Opposite of a number- A number that is the same distance from 0 on the number line, but on the opposite side of 0. May be written as OPP. – Example- Multiplication Property of -1 A property of multiplication that says that for any number a, (-1) * a = OPP (a), or –a. – Example- a=5: (-1)*5=OPP (5) =-5

6.5 Counting numbers- numbers used to count things. 1, 2, 3, 4 Whole numbers- the counting numbers together with 0. 0, 1, 2, 3, 4. Integers- all of the whole numbers and their opposites. -2, -1, 0, 1, 2 (0 is its own opposite.) Rational numbers- any number that can be written or renamed as a fraction or the opposite of a fraction. – Example: - ⅝, ⅝ or 50%= ½ Terminating decimals- a decimal that ends. – Example: 0.5 and 2.125

6.5 Continued… Repeating decimals- a decimal in which one digit or a group of digits is repeated without end. – Example: … Irrational numbers- nonterminating decimals whose digits do not follow a repeating pattern. – Example: π= …. Real numbers- the set of numbers consisting of all rational numbers and all irrational numbers.

6.6 Order of operations- Rules that tell what order to perform operations: – “Please Excuse My Dear Aunt Sally.” Parentheses Exponents Multiply Divide Add Subtract Nested Parentheses- Double parentheses. – Example: ((2*3) + 8) * 5=70

6.7 Relation symbol- A symbol used to express a relationship between two quantities. Equation- A number sentence that contains an equal sign. – Example: 15 = 10+5 SymbolMeaning = “is equal to” ≠ “is not equal to” < “is less than” > “is greater than” ≥ “is greater than or equal to” ≤ “is less than or equal to”

6.7 continued… Inequality- A number sentence with ≥, ≤, ≠,. – Example- 8 < 15 Operation symbol- A symbol used to stand or a mathematical operation. – Examples: +, -, *, x, ÷, and /

6.8 Variable- A letter or other symbol that represents a number. – Example: 5 + n = 9 Open sentence- A number sentence which has variables in place of one or more missing numbers. An open sentence is usually neither true nor false. – Example: 5 + x = 13 The sentence is true if x is 8 and false if it is 4. Solution- Answer to the problem if the number used to replace the variable is correct.

6.8 continued… Trial- and-error method- A method for finding the solution of a n equation by trying several test numbers. Cover-up method- A method used for solving equations by covering up key expressions.