Second Period Math Applications Flashcards
What is BEDMAS?
The standard sequence of mathematical operations. B-rackets E-xponents D-ivision } From left to right M-ultiplication / A-ddition } From left to right S-ubtraction /
What is accomplished when transposing an equation?
Change in the position of “parts” of the equation, while maintaining the equality.
What is an equation?
It is a statement of equality between two quantities.
When transposing, could you only apply a mathematical procedure to one side of the equation and still maintain equality?
No.
You must always apply the same procedure to both sides to maintain equality.
What is meant by squaring a number?
It is a process of multiplying the number by itself.
e.g. 9^2=9x9.
What is meant by square rooting a number?
It is the opposite process of squaring a number. It can be represented as SQRT(x)=x^0.5.
Why is scientific notation adopted en masse?
Because it is a simple way to express either a very large or very small number.
What is scientific notation?
It is a method of describing a number through powers of 10.
If a number has a scientific notation of a POSITIVE power of 10, which way will the decimal point move, when converting to a whole/decimal number?
To the right.
A positive power results in a larger number than 1, and a negative power results in a smaller number than 1.
What is meant by engineering notation?
A method of describing a number by powers of 10 which are divisible by 3.
e.g. 10^3, 10^6, 10^9, etc…
What multiplication factor is applied when given an SI prefix of Giga(G)?
It is 10^9 or 1 billion.
What are the SI prefixes (in order) associated with multiplication factors from 1 Trillionth, to 1 Billion?
Pico (p) 10^-12 = 1 Trillionth Nano (n) 10^-9 = 1 Billionth Micro (mu) 10^-6 = 1 Millionth Milli (m) 10^-3 = 1 Thousandth Centi (c) 10^-2 = 1 Hundredth Deci (d) 10^-1 = 1 Tenth Deka (da) 10^1 = Ten Hecto (h) 10^2 = 1 Hundred Kilo (k) 10^3 = 1 Thousand Mega (M) 10^6 = 1 Million Giga (G) 10^9 = 1 Billion
What symbol is commonly used to express an angle?
Theta.
What is the sum of all angles in any triangle?
180 degrees.
What is a “right triangle”?
One which contains a right angle (90 degrees), usually represented by a little square.
What is the vertical side of a right triangle called?
The altitude.
The longest side of a right triangle has a name, what is it?
The hypotenuse.
What does the Pythagorean Theorem state?
The hypotenuse squared is the sum of the base squared and the altitude squared.
There are three major trigonometric functions, what are these?
Sine (sin)
Cosine (cos)
Tangent (tan).
How does the Sine function relate the sides of a triangle if applied to one of the (non right) angles?
It equals a ratio between the side opposite from the angle and the hypotenuse.
How does the Cosine function relate the sides of a triangle if applied to one of the (non right) angles?
It equals a ratio between the side adjacent to the angle and the hypotenuse.
How does the Tangent function relate the sides of a triangle if applied to one of the (non right) angles?
It equals a ratio between the side opposite from the angle and the side adjacent to the angle.
If you are given the values of the sides of a triangle and are asked to find the angles, what functions must be used?
Inverse trigonometric functions, such as:
Arcsine (sin^-1)
Arccosine (cos^-1)
Arctangent (tan^-1)
What is a phasor? What does it represent?
A graphical representation of a complex number used to analyze a circuit.
Voltage or current and a time relationship between other phasors.
