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math

what is the order of operations?

pemdas: parentheses, exponents, (multiplication, division), (addition, subtraction)

a/b = c/d = ?

a*d = c*b

a*d = c*b = ?

a/b = c/d

a=b/c, what are b and c?

b=ac, c=b/a

what is an absolute value?

it's distance from 0

formula for percent of change

((NN - ON)/ON) * 100

what is the formula for a discount?

Discount=OriginalNumber*RateOfDiscount

what is the formula for simple interest?

interest=principal*rate*time

what is distrubutive property?

a(b+c) = ab+ac

what are irrational numbers?

numbers that cant be expressed as a fraction

what are the atributes of irrational numbers?

non-repeating non-terminating decimal. no exact place on number line

how do you approcimate rational numbers? sqrt

sqrt y: x < y < z (x and z = closest perfect square). outcome closest to y

equations for percent problems

base=part/percent, percent=part/base, part=base*percent

exponent rules

x^a * x^b = x^a+b,
x^a/x^b = x^a-b,

x^a/x^b = 1/x^b-a,

1/x^b = x^-b

(x^a)^b = x^ab,

(xy)^a = x^a*y^a,

(a/b)^c = a^c/b^c

zero and negative exponent rules

x^0=1,
(x^a/x^b)^-1 = (x^b/x^a)^1

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