The Basics Flashcards
PEMDAS
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
Top/Bottom Number in Fraction
Numerator/Denominator
Mixed number
Integer & a fraction (2 1/2)
Improper Fraction
Numerator is larger than denominator (5/2)
Add/Subtract with different denominators (Bowtie Method)
a/b +/- c/d = (da + bc) / bd & (da-bc)/bd
LCD Method
Use when all numbers in the denominators are factors or multiples of one another
Multiply fractions
Multiply across numerators/denominators
What do you do before multiplying fractions?
Reduce
What can you never do with denominators that you can do with numerators?
Split them
Terminating/Non-terminating decimals
Decimals that end/do not end
non-terminating & non-terminating, non-repeating decimals
1/3 vs. pi
examples of terminating decimal-producing and non-terminating decimal producing denominators
T: 2,5,8,10
NT: 3,6,7
Terminating Decimal X Terminating Decimal
Terminating Decimal
Terminating Decimal X Non-Terminating Decimal
Non-Terminating Decimal
Non-Terminating Decimal X Non-Terminating Decimal
Non-Terminating Decimal
Know fractions 1/2 through 1/8, corresponding decimal, and corresponding percentage
ex: 1/8 = .125 = 12.5%
Simple vs. Compound Interest
Simple: (1 + percentage) x amount
Compound: amount x (1 + percentage for the period)^periods
*Compound: interest earns interest
Gross Profit
= selling price or revenues - cost or expenses
To divide fractions,
multiply by the reciprocal