math notes

carroll diagram -is a table used to show how numbers are the same or different .











when you do the carroll diagram it will say divisible by a number im going to use 2 as an example then you would figure out what number goes into 24 well then you would see all the possible outcomes and put them in there





Venn diagram-is used for showing relationships between groups of numbers
the middle means both
the left means divisible by the number and the right mean divisible by another number

how to tell what fraction fits the picture

first if you are looking at small fractions they would be
1/4
1/3
1/2
1/1
etc

okay you have the following pictures.now you see the half one, the hole one,the one out of 4 and the one out of three. you also see what they are out of ,well when you see that the numbers are out of the same number as the fraction pictures you look at how many are colored or shaded in ,then you try and figure out what picture fits the fraction. when you decide witch one fits you have an answer.


1/2 1/4 1/1 1/3


these are the answers once you have figured out witch one fits you have the idea on how to find fractions with pictures.

ratio table with percents

the ratio table is basically the percent on one side and the whole number on the other side.
i know it is a little hard but if you look at it it is the same as what we did

look at this picture and and pretend129 is 100 and pretend that we divide it by 2 and we would get 50 and keep doing that!
on the other side lets pretend that100 is 20 we divide it by 2 and get 10 and you keep doing that until you make it easier for your self

bedmas

Brackets
Exponents
Division
Multiplication
Addition
Subtraction
by doing bed mas through your head a few times you can do an ordinary order operation question easily.


example:
(4+6)+7-5=
you would do the brackets first
4+6=10
so you would go
10+7-5
next you would do addition because its next on BED MAS
if you want to skip a step(but go at your own pace)you would do
10+7-5=12
and there you have the steps to do a perfect order of operation question.