commutative property -correct answera+b = b+a
ab = ba
associative property -correct answera+(b+c) = (a+b)+c
a(bc) = (ab)c
identity -correct answera+0 = a
a×1 = a
inverse -correct answera+(-a) = 0
a×(1/a) = 1
distributative property -correct answera(b+c) = ab+ac
natural numbers (N) -correct answer1,2,3...
whole numbers (W) -correct answer0,1,2,3...
integers (Z) -correct answer...-2,-1,0,1,2...
rational numbers (Q) -correct answerintegers & fractions
irrational numbers -correct answercannot be expressed as a fraction
e.g. π, √2, e
real numbers -correct answerrational & irrational numbers
complex numbers (C) -correct answerreal & imaginary numbers
divisible by 2 -correct answerall even numbers
divisible by 3 -correct answersum of digits is divisible by 3
divisible by 4 -correct answernumber formed by last 2 digits is divisible by 4
divisible by 5 -correct answerends in 0 or 5
divisible by 6 -correct answereven numbers AND
sum of digits is divisible by 3 or 6
divisible by 8 -correct answernumber formed by last 3 digits is divisible by 8
divisible by 9 -correct answersum of digits is divisible by 9
greatest common factor (GCF) -correct answerlargest number that is a factor of all the given
numbers
how to find gcf -correct answercreate a prime factorization tree, then multiply each common
prime factor together.
, least common multiple/denominator -correct answersmallest number that a group of
numbers will divide into. Will be either the largest number given OR a multiple of the largest
number.
how to find least common multiple/denominator -correct answercreate a prime
factorization tree, then multiply the each factor by the maximum number of times it occurs.
modulo -correct answerthe remainder to a division problem
areas vary as the square of heights -correct answera = kh²
volumes vary as the cube of heights -correct answerv = kh³
xⁿxⁿ -correct answerxⁿ⁺ⁿ
xⁿ/xⁿ -correct answerxⁿ⁻ⁿ
(xⁿ)ⁿ -correct answerxⁿⁿ
x⁻ⁿ -correct answer1/xⁿ
(xy)ⁿ -correct answerxⁿyⁿ
x½ -correct answer√x
x⁰ -correct answer1
0⁰ -correct answerundefined
√xy -correct answer√x√y
ⁿ√ⁿ√x -correct answerⁿⁿ√x
log mⁿ -correct answern log m
mⁿ = x -correct answern log m = log x
log mn -correct answerlog m + log n
log m/n -correct answerlog m - log n
log₃4 -correct answerlog 4/log 3
log₁₀ m = n -correct answer10ⁿ = m
interest (compounded monthly) -correct answerA = P (1+r/n)∧rt
A = final amount
P = beginning amount
r = rate
n = # times compounded per year
ab = ba
associative property -correct answera+(b+c) = (a+b)+c
a(bc) = (ab)c
identity -correct answera+0 = a
a×1 = a
inverse -correct answera+(-a) = 0
a×(1/a) = 1
distributative property -correct answera(b+c) = ab+ac
natural numbers (N) -correct answer1,2,3...
whole numbers (W) -correct answer0,1,2,3...
integers (Z) -correct answer...-2,-1,0,1,2...
rational numbers (Q) -correct answerintegers & fractions
irrational numbers -correct answercannot be expressed as a fraction
e.g. π, √2, e
real numbers -correct answerrational & irrational numbers
complex numbers (C) -correct answerreal & imaginary numbers
divisible by 2 -correct answerall even numbers
divisible by 3 -correct answersum of digits is divisible by 3
divisible by 4 -correct answernumber formed by last 2 digits is divisible by 4
divisible by 5 -correct answerends in 0 or 5
divisible by 6 -correct answereven numbers AND
sum of digits is divisible by 3 or 6
divisible by 8 -correct answernumber formed by last 3 digits is divisible by 8
divisible by 9 -correct answersum of digits is divisible by 9
greatest common factor (GCF) -correct answerlargest number that is a factor of all the given
numbers
how to find gcf -correct answercreate a prime factorization tree, then multiply each common
prime factor together.
, least common multiple/denominator -correct answersmallest number that a group of
numbers will divide into. Will be either the largest number given OR a multiple of the largest
number.
how to find least common multiple/denominator -correct answercreate a prime
factorization tree, then multiply the each factor by the maximum number of times it occurs.
modulo -correct answerthe remainder to a division problem
areas vary as the square of heights -correct answera = kh²
volumes vary as the cube of heights -correct answerv = kh³
xⁿxⁿ -correct answerxⁿ⁺ⁿ
xⁿ/xⁿ -correct answerxⁿ⁻ⁿ
(xⁿ)ⁿ -correct answerxⁿⁿ
x⁻ⁿ -correct answer1/xⁿ
(xy)ⁿ -correct answerxⁿyⁿ
x½ -correct answer√x
x⁰ -correct answer1
0⁰ -correct answerundefined
√xy -correct answer√x√y
ⁿ√ⁿ√x -correct answerⁿⁿ√x
log mⁿ -correct answern log m
mⁿ = x -correct answern log m = log x
log mn -correct answerlog m + log n
log m/n -correct answerlog m - log n
log₃4 -correct answerlog 4/log 3
log₁₀ m = n -correct answer10ⁿ = m
interest (compounded monthly) -correct answerA = P (1+r/n)∧rt
A = final amount
P = beginning amount
r = rate
n = # times compounded per year
