Mathematics Knowledge

When something is cubed it means…

It is to the power of 3 (x³)

to find the x root of x means…

ex. what is the fourth root of 16

it means to find the what number to the x power = x

ex. what is the fourth root of 16?

2^4 = 16

What does it mean for a number to be a prime number?

A number is prime if the number can only be multiplied by the number itself and 1.

ex. 3 can only be the product of 1 and 3

What is the mode?

The number that occurs the most in the set

What is the mean?

The sum of all the numbers in the set divided by the number of instances.

What is the median?

The number in the middle of set in order of least to greatest

What does the symbol ! mean?

ex. 5!

! means to times x by the nearest smallest whole number until 1

ex. 5!

(5)(4)(3)(2)(1) = 120

How to you find the largest (or smallest) of given fractions?

>Find the least common denominator of all the fraction

> then determine the largest (or smallest) fraction

How do you convert a percent into a fraction?

Put the fraction over 100.

ex. 24%

>24/100

>24/100 /4 (simplify the fraction)

> 6/25

How do change a number into scientific notation?

Ex. Change 323,000 into scientific notation

> move the a the decimal to the left until it is to the right of the first number

>the amount of times the decimal is moved over is the exponent of 10

Ex. Change 323,000 into scientific notation

answer: 3.23 × 10^5

(since the original number (323,000) is larger than 3.23, the answer is positive)

What part of a differential equation is “added up to” and which part is “multiplied to”

ex. x² -6x +9 =

>the middle number is added up to and the last number is multiplied to

>ex. x² -6x +9 =

-3-3 = 6

-3 x -3 = 9

Answer: (x-3) (x-3)

If the equation looks something like this: 2/3(6x.- 9) +4 > 5x +1

and in the end it ends up like this: -x > 3

you have to multiply the -x by -x to make it positive…. and if you do that… what happens?

You have to reverse the sign.

(making the > sign a < sign)

What is the formula for the volume of a square?

V = lwh

What is the formula for a finite arithmetic sequence?

s = n/2 (a+b)

n - the number of terms

a - the first number in the sequence

b - the last number of the sequence

ex. what is the sum of the integers 1 to 300

s = 300/2 (1 + 300)

s = 150(301)

s = 45,150

(y²)³ can be rewritten as…

(y²)(y²)(y²)….

which is… y² + ² + ² = y^6