Math Flashcards
What is a prime factorization?
A multiple equation made with only prime numbers that equals the given composite number. Done by dividing and dividing until all you have are prime numbers then stating the equation multiplying the prime numbers together.
Least common multiple (LCM)
The the smallest product that both numbers go into. Find the prime factor of both numbers, then make sure each different number appears in the next equation, but only the number of times it is found the MOST in ONE of the equations, then multiply
How do you find the least common denominator?
By finding the LCM of the denominators.
Mixed numbers
A whole number with a fraction.
Simplify
Reduce the fraction, but not a mixed number
How do you know how many decimal spaces are in the product of two decimals?
By adding how many decimal places are in each number. 0.123*0.12 the answer would have 5 numbers after the decimal.
What is the order of operations?
PEMDAS
Parenthesis, exponents, multiplication and division, addition and subtraction
Irrational numbers
Imaginary, infinity, continuous non-repeating decimal. Square root of 2
Rational numbers
Can be written as a fraction
Absolute value equations
Must solve for both the positive and negative
When do you flip an inequality sign in an equation?
When you multiply or divide both sides by a negative number
What are the roman numerals for 1, 5, 10, 50, 100, 500, and 1,000?
I, V, X, L, C, D, M
Front end estimation
Ignore all digits after the first and add using only digits with the same place value unless multiplying. Then do the same thing with the remaining digits, refining your initial estimate until you get 2 numbers that aren’t 0.
Constant of proportionality
Ratio between 2 things: i.e. price per lb
How many feet are in 1 mile?
5,280 ft
How many km/mile?
1.61 km
Mean
Average
Median
Middle number
Mode
Number that appears most
Range
Subtract the minimum value from the maximum value
Expected value
Mean of a random variable- The sum of the samples divided by the random variable’s probability. An average including probabilities.
1 inch= how many cm?
2.54 cm
Perimeter of circle?
Circumference=pie*diameter or 2pieR
Parameter of a right angle?
c^2=a^2+b^2
Arc length as fraction of a circle
L=degrees/360degreespiediameter
Area of a triangle
b*h/2
Area of a parallelogram (slanted rectange)
b*h
Area of a trapezoid
(b1+b2)*h/2
Area of a circle
pie*r^2
Area of rhombus (kite)
d1*d2/2
Surface area of a sphere
4pier^2
Surface area of a cylender
(2pier^2)+(h2r*pie)
What is pie?
3.14159
How many lbs in 1 kg?
2.205 lbs
What is the C to F formula?
F=9/5C+32
What is the F to C formula?
C=5/9(F-32)
How many ml are in 1 oz?
29.57353 ml
How many grams are in 1 oz?
28.35 grams
How many gal is 1L?
0.2642 gal
