Pre Cal: Unit 1
a(bc)=_____
(ab)c
Which is greater pressure?
2.5 atm
(5+7)+2=5+(7+2)
Associative property for addition
(2⋅3)5=2(3⋅5)
Associative property for multiplication
a+b=b+a
Commutative property for addition
5⋅6=6⋅5
Commutative property for multiplication
8(2+4)=8⋅2+8⋅4
Distributive property
5+0=5
Identity property for addition
9⋅1=9
Identity property for mutliplication
4+(−4)=0
Inverse property for addition
7⋅1/7=1
Inverse property for multiplication
The SI scale for temperature is ___.
Kelvin
___ is a derived unit that involves force and area.
Pressure
a+0=_____
a
a⋅1=_____
a
set
a collection of objects
duplicate
a copy of the original
prime factor
a factor that is a prime number which can only be multiplied by itself and 1
The definition of a dimension is ___.
a measurement such as length, width or height
The definition of an angstrom is ___.
a metric unit equal to one ten-billionth of a meter
natural number
a positive rational number including whole counting numbers 1, 2, 3, but not 0
pi
a ratio or fraction that is the result of dividing the circumference of a circle by its diameter
whole number
a rational number including positive counting numbers 1, 2, 3, . . . , and 0
integer
a rational number including positive counting numbers 1, 2, 3, 0, and negative numbers -1, -2, -3
real number
a rational or irrational number
rational number
a real number that as a decimal either has a finite number of digits or the digits repeat forever
irrational number
a real number that when written as a decimal has a string of ever-changing digits that go on forever
axiom
a rule or law that does not need to be proved
coordinates
a set of values used to show the position of a point, line, or curve
The definition of a gradation is ___.
a step or degree
radical sign
a symbol requiring the taking of a square root, cube root, etc.
digit
a symbol used by itself or in groups to make up numbers—1, 2, 12, 457
(a+b)+c=_____
a+(b+c)
significant figures
all the known digits in a measurement, plus one estimated last digit
distributive
allowing a number to affect other numbers one at a time
identity
an equation true for all values used in it
quadratic
an expression containing a second degree variable
radical
an expression that contains square roots, cube roots
a+b=_____
b+a
ab=
ba
The __________ is the number or variable that is being raised to a power
base
Pi (π) is the answer you get when you divide the __________ of a circle by its diameter
circumference
derived
created by a combination of factors
Measurements that are created by combining two or more standard units are ___ units.
derived
Speed is a ___ unit.
derived
The digits of an irrational number written as a decimal ________________
do not follow a repeating pattern and go on forever
The definition of an equivalent is ___.
equal in size or quantity
accuracy
how close a measurement is to its true value
precision
how close the items in a set of measurements are to each other
-2, -1, 0, 1, 2
integers
-4, -3, -2, -1
integers
0, 1, 2, 3
integers whole numbers
The distance that light travels in 12 months is a(n) ___ and is used to measure astronomical distances
light-year
Density is the relationship between ___ and volume
mass
The set that includes the counting numbers {1,2,3,...} but does not include zero (0) is known as the __________ numbers
natural
7, 8, 9, 10
natural numbers integers whole numbers
The integers contain the positive counting numbers, zero (0), and the __________ numbers
negative counting
factors
numbers, variables, algebraic expressions, that when multiplied together equal a given product
giga-
one billion
hecto-
one hundred
mega-
one million
quadrant
one of the four parts into which a plane is divided by two perpendicular lines, or axes
peta-
one quadrillion
exa-
one quintillion
yotta-
one septillion
zetta-
one sextillion
kilo-
one thousand
kilometers
one thousand meters
tera-
one trillion
nano-
one-billionth
centi-
one-hundredth
micro-
one-millionth
femto-
one-quadrillionth
atto-
one-quintillionth
yucto-
one-septillionth
zepto-
one-sextillionth
deci-
one-tenth
milli-
one-thousandth
pico-
one-trillionth
A __________ is the superscript number or variable that expresses how many times to multiply the base times itself.
power
Real numbers include ________________ and irrational numbers
rational
Rational numbers are included in a group called __________ numbers
real
inverse
reverse of; opposite in effect
The basic unit for time is ___.
second
A number or variable written up and to the right of another number or variable is called the __________
superscript
deka-
ten
orgin
the center point of a Cartesian coordinate system, marking the point at which the axes intersect
absolute value
the distance of a number from the origin (0)
index
the integer outside the radical that defines its root is the third root
coefficient
the number being multiplied by a variable in an algebraic expression
radicand
the number or expression under the radical sign
density
the ratio of an object's mass to its volume
ordered pair
two numbers always written so that one precedes the other
commutative
two numbers changing places with each other
associative
uniting, putting together
In order for a material to float it must have a density that is less than that of ___.
water
The density of liquids are usually compared to that of ___.
water
Zero is not included in the natural numbers, but it is included in the __________ numbers
whole
0, 1√ ,4√ ,9√
whole numbers integers
The whole numbers include both positive counting numbers and __________
zero
