1st semester exam review Flashcards
real number
all numbers
rational number
any number that can be written as a fraction or decimal
integers
all positive and negative counting numbers including zero
whole numbers
zero and positive counting numbers
natural numbers
all positive numbers (not zero)
irrational numbers
numbers that cannot be written as a fraction or are a non-repeating, non-terminating decimal
imaginary numbers
all square roots of negative numbers
‘p’ in PEMDAS
parenthesis
‘e’ in PEMDAS
exponents
‘m’ and ‘d’ in PEMDAS
multiplication and division
‘a’ and ‘s’ in PEMDAS
addition and subtraction
equation
mathematical sentence that includes an equal sign
variable
letter that represents a number
coefficient
number in front of a variable (example: 3x)
solution
answer to an equation
commutative property (addition)
a+b=b+a (switch or flip-flop)
associative property (addition)
(a+b)+c=a+(b+c)
change groupings
additive identity (addition)
a+0=a (same)
additive identity element is 0
additive inverse property (addition)
a-(-a)=0
cancels-out
commutative property (multiplication)
axb=bxa
switch or flip-flop
associative property (multiplication)
(axb)xc=ax(bxc)
change groupings
multiplicative identity (multiplication)
ax1=a
multiplicative identity element is 0) (same
multiplicative inverse (multiplication)
a/1 x 1/a=1
reciprocal
multiplication property of 0
ax0=0
any number multiplied by zero is zero