NES 103 math
how to change mixed numbers to improper fractions?
- multiply the denominator by the number of wholes - Add the numerator example: 1 3/4 = 4*1 and 4+3 = 7/4
Surface Area of a Cylinder
2πrh+2πr²
Terms
A number, a variable, or a product of numbers and variables.
Surface area formula
A= 2wl + 2lh + 2hw
Area of a triangle
A=1/2bh
Area of a rectangle
A=lw
Area of a circle
A=πr²
Natural numbers
Counting numbers, 1-10
rational exponents
Exponents written as fractions
Rational numbers
Fractions
congruent
Having the same size and shape
Integers
Not all are whole numbers or natural numbers, integers have negative numbers
Commutative Property
Numbers can be added or multiplied in any order and you will still get the same answer
Perimeter of a triangle
P=a+b+c
Volume of a cone
V=1/3πr²h
Volume of a sphere
V=4/3πr³
Volume of a cylinder
V=πr²h
cordinate plane
a method of identifying a point on a graph relative to a set of lines
Composite numbers
a number greater than 1 that can be divided by a number other than 1 and itself
Prime numbers
a number that is divisible by only 1 and itself (positive)
outlier
a number that is significantly greater or smaller than the rest of the data
ray
a part of a line that starts at an endpoint and extends forever in one direction
Proportion
a set of ratios that are equal to each other example: 1 pound of beef to make 4 patties, the ratio 1:4 1/4 = x/500 (cross multiply) 1*500 = 4*x = 4x = 500 (divide by 4 on both sides to get x alone) = 1/4 = 125/500
histogram
a visual way to display frequency data using bars, not used to show categorical data
scientific notation
a way to write large or small numbers in a way that makes them useable example: 200 = 2 * 10^2
Addition
and, combined, increased, more, plus, sum
Divisibility
being able to be divided equally by a certain number
multiplication
by, multiply, product, times, of
subtraction
decreased, difference, less, minus, take away
distance formula
distance = rate * time (d= rt)
division
divide, goes into, per, quotient
Dividing fractions and mixed numbers
flip the second fraction, multiply the fractions, simplify as needed example: 9/10 divided by 4/5 = 9/10 * 5/4 = 45/40 = 9/8
Like terms
individual terms that have the same variable
Finding a common denominator
multiply the denominators together example: 3/4 > 7/2 = 6/8 > 4/8
Multiplying Fractions and Mixed Numbers
multiply the numerators, multiply the denominators, and simplify the fraction if needed example: 1/4 * 2/5 = 2/20 = 1/10
line segment
part of a line with two endpoints
basic shapes in geometry
polygon, quadrilateral, and parallelogram
Probability
probability = possible choices / total number of options
rate formula
rate = distance / time (r = d/t)
mean
the average, add together all of the numbers in your data set then divide that sum by the numbers of addends
range
the difference between the highest and lowest values
median
the middle number when listed in order from least to greatest
mode
the number that occurs most often in your data set
combining like terms
the process of simplifying expressions by joining terms that have the same variable
Real numbers
the set of all rational and irrational numbers
time formula
time = distance / rate (t = d/r)
