Exploring Mathematics Chapters 9-11 Flashcards
irrational numbers
do not repeat, do not terminate, and do not form a pattern
y=kx
y=kx2
y=k/x
-3. -2. -1, 0, +1, +2, +3
integers
0, 1, 2, 3, 4, 5
whole numbers
1, 2, 3, 4, 5
counting numbers
1, 3, 5, 7, 9
odd numbers
1/1, ½, ¾, ⅔
rational numbers
2, 4, 6, 8, 10
even numbers
A common fraction can be changed into a decimal by dividing the numerator by the
denominator
Before the invention of calculators, shares were used to reduce the necessity of doing
division
discovered how to calculate the coefficients of a binomial raised to a power
Isaac Newton
Discovering the value of x when y is equal to zero is called
solving
Four Corners is the only point in the United States where four states touch a single point. Name the states.
Utah, Colorado, Arizona, New Mexico
he called his triangle an arithmetic triangle
Blasie Pascal
his last theorem was solved in 1995
Pierre de Fermat
In the 1600s, the French mathematician Rene Descartes discovered a way to combine algebra with
Geometry
proved that xn + yn = zn has no solution with whole numbers except for n = 2
Andrew Wiles
solved the Konigsberg bridge problem
Leonhard Euler
The 5 in the equation 5x + 2 = 0 is called
a coefficient
The American colonies divided the real, a Spanish coin, into how many pieces?
8
The distance an object falls (y-axis) under the influence of gravity is directly proportional to the square of the time it has fallen (x-axis).
The expression 3! is read as “three
factorial
The length a spring stretches (y-axis) is directly proportional to the force pulling on the spring (x-axis).
The period of a pendulum (y-axis) is directly proportional to the square root of the length of the pendulum (x-axis).
the problem that a computer helped solve was the
the four-color map problem
The square root of two, is an example of
an irrational number
The state of Missouri has license plates with three letters followed by three digits. How many license plates are possible?
17,576,000 — Any one of 26 letters (A through Z) can be chosen to fill the first three positions. Any one of 10 digits (zero through nine) can be chosen to fill the second group of three positions: 26 x 26 x 26 x 10 x 10 x 10 = 17,576,000.
The value of 5! is
120
The volume of a gas (y-axis) is inversely proportional to the pressure acting on the gas (x-axis).
Two bits is equal to how many cents?
25
