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Goal 1.01 Vocabulary  H J MacDonald Middle  8 th Grade Math  Littleton

Terminating Decimal  A decimal that ends with a specific digit  Examples:  2.6  5.3566  0.003

Repeating Decimal  A decimal with one or more repeating digit  Examples:  0.33333………or 0.3  2.77777………or 2.7  37.121212……..or 37.12  8.66666………or 8.6

Non-terminating Decimal  A decimal that does not end or repeat  Examples:  = Approximately 3.14159265358979323846………  √5 = Approximately 2.236067976………

Non-repeating Decimal  A decimal that does not repeat  Examples:  = Approximately 3.14159265358979323846………  2.13133133313333………

Real Numbers  All numbers on the number line.  Includes all rational and irrational numbers.  Positive or negative, large or small, whole numbers or decimal numbers, roots and pi are all Real Numbers.

Rational Number  Any number that can be made by dividing one integer by another. The word comes from "ratio".  Examples: 1/2 is a rational number (1 divided by 2, or the ratio of 1 to 2) 0.75 is a rational number (3/4) 1 is a rational number (1/1) 2 is a rational number (2/1) 2.12 is a rational number (212/100) -6.6 is a rational number (-66/10)

Irrational Number  A number that cannot be written as a simple fraction - the decimal goes on forever without repeating.  Example:  is an irrational number  √5 is an irrational number

Integer  A number with no fractional part. Includes the counting numbers {1,2,3,…}, zero {0}, and the negative of the counting numbers {-1, -2, -3, …} You can write them down like this: {…, - 3, -2, -1, 0, 1, 2, 3, …}  Examples of integers:  -16, -3, 0, 1, 198

Whole Number  The numbers {0, 1, 2, 3, …} etc.  There is no fractional or decimal part. And no negatives.  Examples:  5, 49 and 980 are all whole numbers.

Natural Number  The whole numbers from 1 upwards: 1, 2, 3, and so on ….  No negative numbers and no fractions

Radical  An expression that has a square root, cube root, etc.  The symbol is √

Radicand  The number under the (radical) symbol. radical  That is, a number having its square root taken (or cube root, 4th root, 5th root, nth root, etc.). square rootcube rootnth rootsquare rootcube rootnth root  For example, 3 is the radicand in √3.

Square Root  A nonnegative number that must be multiplied times itself to equal a given number. The square root of x is written √x. nonnegative numbernonnegative number

Perfect Square  Any number that is the square of a rational number. For example, 0, 1, 4, 9, 16, 25, etc. are all perfect squares. So are 1/4 and 1/9. rational number rational number

Hypotenuse  The hypotenuse is the longest side of a right triangle.  The side opposite the right angle in a right-angled triangle

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