Quadrants

There are 4 Quadrants on a plane.

Q1 - (+,+)

Q2 - (-, +)

Q3 - (-,-)

Q4 - (+,-)

Measures of Central Tendency definitions

Data Set - A group of numbers that you must rearrange in order from least to greatest.

Median - The middle number in a set of data after the data set has been arranged in order

Mode - The most frequently occuring number in a set of data

Mean - The sum of a set of values divided by the amount of values in the set

Range - The positive difference between the smallest and the greatest number in a data set

Outlier - A value that is much bigger or smaller than the other data values.

Definition of Numerical Coefficient

Numerical Coeffecient - A number that multiplies the variable.
e.g. 2x

Definition of Value

Value - A known or calculated amount.

Definition of Expression

Expression - Any single number, variable, or combination of operations (+, -, /, x) involving numbers and variables.

e.g. x + 1, 2y - 7

Definition of Variable

Variable - A letter that represents an unknown number.

e.g. x ,j, f, any letter. x = 3 + 1

The three steps of solving a one step operation.

1. Isolate the variable
2. Use opposite operations (+, -, /, x)
3.simplify


If you aren't sure what those mean, then here's an example

e.g. a + 1 = 3
1/2. Isolate the variable by using the opposite operations. a + 1 - 1 = 3
3. Simplify. a = 2

Now to check your answer.
a + 1 = 3
Take away the variable and put in the number of the variable.
2 + 1 = 3
Simplify. 3 = 3.

What is a numerator and a denominator?

The numerator is the top number of the fraction. It tells how many parts of the whole we are dealing with.

The denominator is the bottom number of the fraction. The name gives you a clue on which number it is. DEnominator. DE usually means make lower, bottom.. The denominator tells how many parts of the whole is equally divided into.

Multiples and factors - The Difference.

Multiples and factors are very different. In fact, they are the opposite of each other.

Multiples are the product of any given number and natural number like 1, 2, 3. They are bigger than the given number you are finding multiples for. The only multiple that isn't bigger is the first multiple, the number itself.

e.g. 2. - 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, and so on..

While factors are numbers that can go into one another with no remainder. They are smaller than the given number you are finding factors for. The only factor that isn't smaller is the last factor, the number itself. The factors of 10 are, 1, 2, 5, 10. You can multiply those numbers to get 10.

e.g. 2 x 5 = 10. Thpse 2 numbers in the multiplication sentence are factors of ten.

See? They are very different.

How to add with Unlike Denominators.

This is how to add with unlike denominators.

The picture in the post may help you understand how to add with unlike denominators.

First, you must find the Lowest common multiple (LCM) of the denominators. The denominators are the bottom number of the fraction, which tells how many parts of the whole is equally divided into.

In this case, 12 is the lowest common factor of 3, and 4.

Once we have found the LCM, you have to find a way to get your current denominator to twelve. But always REMEMBER. What you do to the bottom, YOU HAVE TO DO TO THE TOP.

So, in order to get 3 to 12, you have to multiply it 4 times. So we end up with Four Twelfths.
Now onto two fourths, which you can also call one half.. In order to get 4 to 12, you have to multiply it by 4 to get to 12. So we end up with six twelfths.

Add all of them together. And you get Ten Twelfths. You don't have to add the denominator.

That is how you add unlike denominators.

Page 214, #8.

Write each addition statement shown by the diagrams. Then add. Write the answer in lowest terms.

What this is saying is to add both of the pictures up. But don't add the denominator.

Then you have to find a way to make the fraction into the lowest terms you can put it in to.

e.g. 2  in lowest terms is 1
......-- ............................--
......4 ............................2
Now I will answer the questions.
 
A) ..2...1....3
......-- + -- = --   Three-fourths in lowest terms is.. Three-fourths...
 ......4....4.. 4


B) ...5....1....6
.......-- + -- = --     Six-Eighths in lowest terms is.. Three-fourths...
.......8....8....8


C) ...4...3....7
..... -- + -- = --      Seven Tenths in lowest terms is..  Seven-Tenths...
......10..10..10

Order of Operations

How to do the BEDMAS Question.

1. Check if there are any BRACKETS. There are no brackets.
2. Check for any EXPONENTS. There are no exponents.
3. Check for Division/Multiplication. There is Multiplication and Division. Multiplication comes first because it is the question on the left. This is the order we go in (Left to Right).
4. Is there any Addition/Subtraction? Yes. There is Addition. Add the numbers you've made with the division and multiplication questions and come up with the answer of 18.

Here is a video that explains how to do it: