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Level 108

Real Numbers & the Pythagorean Theorem


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Square Root
when multiplying a number by itself to get a square number
Perfect Square
the number that forms when two same numbers are multiplied together
Radicand
The numbers under the radical sign 7.1
cube root
the number that is multiplied by itself three times
Perfect Cube Root
is a number that can be written as the cube of an integer.
The Pythagorean Theorem
For any right triangle, the lengths of the two sides and the hypotenuse are related by an important mathematical statement called the
Legs
in a right triangle, the sides that include the right angle; in an isosceles triangle, the pair of congruent sides
Hypotenuse
in a right triangle, the side opposite the right angle
Rational numbers
Numbers that include integers, wholes, and natural numbers.
Irrational Numbers
any number that cannot be expressed as a fraction.
real numbers
Any Number
Distance Formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
Right Triangle
A triangle with one right angle.
Pythagorean Theorem
in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs
Converse
(noun) A statement that switches the hypothesis and conclusion
Counting Numbers (or Natural Numbers)
(noun) the set of real numbers that begins at 1 and continues forever (1, 2, 3, 4,...)
Whole Numbers
Zero and the counting numbers 1, 2, 3, 4, 5, 6, and so on. If a number has a negative sign, a decimal point, or a part that's a fraction, it is NOT a whole number.
Integers
the set of positive whole numbers and their opposites(negative numbers) and 0
Radical
(noun) a sign placed in front of an expression to denote that a root is to be extracted.