Mode

Mode is the most frequently occurring number in a set of data.
eg.
1,2,2,3 the mode is 2
3,3,4,4,5 the mode is 3 and 4
1,2,3,4 there is no mode
1,1,2,2,3,3 no mode
3,3,4,4,5,5,6 the mode is 3, 4, and 5

Outlier

Outlier is a value that is much larger or smaller than the other data value. The data may have more than one outlier or zero outliers. In other words it is the number that doesn't fit in the set.
eg.
2,96,97,98,99


The outlier is 2.

Range

Range is the positive difference between the largest and smallest values in a a data set.
eg.
6,4,2,5,3,1
1,2,3,4,5,6
6-1=5

Mean and Median

Mean is a measure of central tendency. It is the sum of a set of values divided by the number of values in a set. In other words add up all the numbers and divide the result by how many numbers there are.

eg.
3,5,7
3+5+7=15
15/3=5

Therefor the mean is 5.


Median is also a measure of central tendency. It is  the middle number in a set of data after the data have been arranged in order.


eg.
3,0,1,7,3,2,6
0,1,2,3,3,6,7
The median is 3.


This is how you get the median if you have 2 numbers in the middle:
 -Add the 2 numbers and divide the sum by 2.


 1,2,3,4,5,6

 3+4=7
 7/2=3.5

The median is 3.5

Measures of Central Tendency

The Measures of Tendency is a value that represents the centre of a data set that can be the mean, median, or mode.


Data Set is a group of numbers that you must arrange in order from least to greatest.
eg.
6,6,8,3,2,7,5,9,0,4,6,7,8,3,2

0,2,2,3,3,4,5,6,6,6,7,7,8,8,9

Writing a number in several ways

eg. 0.5
---------------------
Fractions- one half

0.5 is one half of 1(whole)


Ratio- 1:2

Picture-


←one half of each figure is taken.



Percentage
-50 is one half of a 100
(which in percentage is one whole)
50%

Equation-2 equal expressions
---------------------------------------------
eg.
1+1=2
3+3=6
4+4=8

Here is a video I found that could help us on 'Ordering Decimals'



I hope this helped you if you didn't understand how to order decimals.

Subtracting Fractions with Unlike Denominators

a) L.C.M.
4- 4,8
8-8


b) Equivalent Fractions










c) Whole Numbers




d) Combine

Variable- a letter that represents an unknown number
eg. x, a, n
Expression- any single number, variable or a combination of operations (+,-,x, /) involving numbers and variables
eg. 5, n, 8t, x+1,, 2y-7
Value- a known or calculated amount
Constant- a number that does not change and increases or decreases the value of an expression
Numerical Coefficient- a number that multiplies the variable
eg.

Divisibility rules

Divisibility rules for the following:

1-any whole number is divisible by 1.

2-all even numbers are divisible by 2.

3-the sum of the digits must be a multiple of three.

4-numbers that can be divided by two twice are divisible by 4.

5-all numbers that end with 0 and 5 are divisible by 5.

6-numbers that are divisible by 2 and 3 are divisible by 6.

8-numbers that can be divided by two three times are divisible by 8.

10-all numbers that end with 0 are divisible by 10.

Adding Fractions with the same denominator

-When adding fractions with the same denominator, you never change the denominator unless you had to simplify it. Only add up the numerator.

eg.











---------------------------------------------------------------

Any fraction that has the same numerator and denominator are equal to one/1 whole.



-----------------------------------------------
Simplifying/Smallest common factor
- Simplifying is finding the fraction's smallest common factor.

eg.

Ratio Table

Find 40% of 180.













Steps
1. Make a ratio table
2. Label the percent and number column
3. Put 100 under the percent
4. Then put your number, in this case 180
5. Divide and/or multiply to get to the asked percentage and in this case it's 40
6. Do the exact same thing to the other side.

Rule: Whatever you do to the left you do to the right.

Click here for a link.

Converting Fractions into Repeating Decimals

Change each fraction into a repeating decimal. Then use a bar notation to show the repeating part.

Rule: What ever you do to the bottom, you have to do to the top.


















1. I divided the denominator (6) by itself to turn it into a 1.
2. Then I divided the numerator (5) with the same number I used to divide my denominator.

-5 divided by 6 is 0.83333...
- So I used a bar notation to show the repeating number(s).

Order of Operations

Brackets

Exponents

Division Multiplication- left to right
Addition Subtraction- left to right



















Link: http://www.onlinemathlearning.com/bedmas.html