Zero Product Property

Definition If   a × b = 0   then   a = 0   or   b = 0   or  a = b = 0 A product of factors is zero if and only if one or more of the factors is zero. Standard Form of an Equation The Standard Form of an equation is: “some expression” = 0 Learn More Partial Sum General Form of

Partial Sum

A series is the sum of the terms in a sequence (not the list of terms, like a sequence). The series with a finite number of terms is a easy to find the sum of the series just by adding the terms. However, for the series with an infinite number of terms, the summation is more difficult and complicated.

Prime Factorization

Prime Numbers A Prime Number is a whole number greater than 1 that can not be made by multiplying other whole numbers. The number that we can make by multiplying other whole numbers is a Composite Number. Factors Factors are the numbers you multiply together to get another number 4 × 2 = 8 From

Common Derivatives

Derivative of a function of a real variable measures the sensitivity to change of the function value (output) with respect to a change in its argument (input). Derivatives are a fundamental tool of calculus. The derivative of a function of a single variable at a chosen input value (when it exists) is the slope of the tangent

General Form of Equation of a Line

Definition General Form of the equation of a straight line is: Ax + By + C = 0 Note: A or B can’t be zero at the same time. (if A = 0 then B ≠ 0, vice versa) The General Form is not always the most useful form, and you may prefer to use: Slope-Intercept Form

Parallel Lines

Lines are parallel if they are always the same distance apart (called “equidistant“), and will never meet. Definition of Parallel Lines Parallel lines in geometry are lines in a plane which do not meet. They don’t intersect each other at any point. By extension, a line & a plane, or 2 planes, in 3D Euclidean

Subtracting Fractions

Definition A fraction like 2/3 says we have 2 out of the 3 parts the whole is divided into. The top number is called numerator The bottom number is called denominator There are 3 simple steps to subtract fractions Make sure the bottom numbers (the denominators) are the same Subtract the top numbers (the numerators).

Relative Frequency

Definition Relative Frequency is How often something happens divided by all outcomes. To compute relative frequency, one obtains a frequency count for a subgroup of the population and a frequency count for the total population. The relative frequency is: How to Find Relative Frequency Relative frequency = Subgroup count / Total count The above equation

Reciprocal of Number

The reciprocal of a number is one divided by that number Reciprocal of a Fraction To get the reciprocal of a fraction, simply switch the top and bottom of the fraction (numerator and denominator). Reciprocal of a Reciprocal The reciprocal of a reciprocal takes you back to where we started: Remember that “Reciprocal” comes from the Latin reciprocus

Difference

Definition Difference is the result of subtracting one number from another. How much one number differs from another. More Examples Here are more examples about difference: Numbers Difference Reason 7 and 5 2 7 – 5 = 2 4 and 9 5 9 – 4 = 5 11 and 8 3 11 – 8 =