Adv M7: Unit 2 (Real Numbers) Vocab

Perfect Square

• A number whose square root is a whole number.

• A number that can be divided by 2 without a remainder.

• A number that is the product of two different integers.

• A number that is greater than zero.

Real Number

• The set of rational numbers together with the set of irrational numbers.

• The set of only whole numbers.

• The set of numbers that can be expressed as a fraction.

• The set of complex numbers.

Cube Root

• One of three equal factors of a number.

• A number multiplied by itself three times.

• The result of dividing a number by three.

• The square of a number.

Square Root

• One of two equal factors of a number.

• The product of a number multiplied by itself.

• The sum of a number and its inverse.

• A number that cannot be expressed as a fraction.

Counterexample

• A statement that supports a conjecture.

• A statement or example that shows a conjecture is false.

• An example that proves a theorem true.

• A hypothesis that requires testing.

Rational Number

• The set of numbers that can be written in the form a/b, where a and b are integers and b cannot equal 0.

• The set of numbers that can be expressed as a decimal with a finite number of digits.

• The set of numbers that cannot be expressed as a fraction of two integers.

• The set of numbers that includes only whole numbers and their negatives.

Terminating Decimal

• A decimal with a repeating digit of 0.
  
  The decimal STOPS!

• A decimal that continues indefinitely without repeating.

• A decimal that has a finite number of non-zero digits.

• A decimal that eventually repeats a sequence of digits.

Perfect Cube

• A number whose cube root is an integer.

• A number that is the product of two equal integers.

• A number that can be expressed as a sum of two squares.

• A number that is divisible by 3.

Whole Number

• Natural numbers (counting numbers) and zero; 0, 1, 2, 3...

• Only positive integers; 1, 2, 3...

• All integers including negatives; -1, 0, 1, 2...

• Only zero; 0

Irrational Numbers

• A number that can be expressed as the ratio a/b, where a and b are integers and b cannot equal zero.

• A number that cannot be expressed as the ratio a/b, where a and b are integers and b cannot equal zero.

• A whole number that is not a fraction.

• A number that is always negative.