MATH 155- EXAM 1 MATERIAL
(a-b)^2 IS NOT EQUAL - ✅✅-a^2-b^2
(x^m)^n -✅✅-x^m times n
A^3-b^3 factor to - ✅✅-(a-b)(a^2+ab+b^2)
𝑎^3+𝑏^3 factor to - ✅✅-(𝑎+𝑏)(𝑎^2−𝑎𝑏+𝑏^2)
a=a - ✅✅-reflexive property
absolute value is always greater than or equal to - ✅✅-0
✅✅
all decimals that terminate or repeat itself are _________ numbers -
-rational
all fractions are _______ numbers -✅✅-rational
all integers are _______ numbers - ✅✅-rational
✅✅
an example of this kind of number is Pi since it does not terminate -
-irrational
Any real number decimal that stops... it terminates does not have numbers that
✅✅
go on and on (.35678) or repeats itself (.1111111111111111111) it just keeps going
- -rational number
any real number that you can write( p/q) where q does not = 0 - ✅✅-rational
number
ex of an imaginary number - ✅✅-the square root of -5
For PEMDAS, addition and subtraction go from _____ to _______ - ✅✅-left,
right
(a-b)^2 IS NOT EQUAL - ✅✅-a^2-b^2
(x^m)^n -✅✅-x^m times n
A^3-b^3 factor to - ✅✅-(a-b)(a^2+ab+b^2)
𝑎^3+𝑏^3 factor to - ✅✅-(𝑎+𝑏)(𝑎^2−𝑎𝑏+𝑏^2)
a=a - ✅✅-reflexive property
absolute value is always greater than or equal to - ✅✅-0
✅✅
all decimals that terminate or repeat itself are _________ numbers -
-rational
all fractions are _______ numbers -✅✅-rational
all integers are _______ numbers - ✅✅-rational
✅✅
an example of this kind of number is Pi since it does not terminate -
-irrational
Any real number decimal that stops... it terminates does not have numbers that
✅✅
go on and on (.35678) or repeats itself (.1111111111111111111) it just keeps going
- -rational number
any real number that you can write( p/q) where q does not = 0 - ✅✅-rational
number
ex of an imaginary number - ✅✅-the square root of -5
For PEMDAS, addition and subtraction go from _____ to _______ - ✅✅-left,
right