Math Review Exam Slide 22

Just to let you know the colours and the bold in my text might not show up so I'm sorry for that part. Because when I previewed it it didn't show any of that.

Divisibility Rules

Divisibility~Means when a number can be divided by another number, with no remainder or decimal.

Its a whole number.

Divisibility Rules

0 ~ 0 can't go into anything.

1 ~ 1 goes into all numbers.

2 ~ if the number is even.

3 ~ the sum of the digits have a multiple of 3. In your review it says sum of the digits is 3, so make sure you know.

4 ~ if you can divide the number twice by two and still have a whole number.

5~ if the number ends in 0 or 5

6 ~ if 2 and 3 can go into the number.

8 ~ if you can divide the number thrice by 2 and get a whole number.

9 ~ sum of the digits is nine.

10~ ends in 0

Try practicing your divisibility rules by finding out which one of the divisibility rules go into these numbers.

Answers

Here is a link to help you practice xD

Here is a video to help you out :)

Math Exam Review Slide 23

Adding and Subtracting Fractions
















So the question is 1/2+1/2 = 2/2, but that isn't good enough because you have to always simplify when it can be simplified. So its 1/1 then 1 whole. First you always check for common denominators. If your fractions have the same denominator you leave them the same and just add the numerators.

Subtracting















The question was 3/4 - 1/4=2/4=1/2. ( make sure you don't forget to simplify.) First you check for common denominators. In this question they are the same so just take away the two numerators.

Try these questions to help you practice :).

2/3+4/5=
6/7+2/8=
2/3-1/3=
4/5- 2/5=

Answers...

1. the common denominator is 15. So whatever you did to get 15 u do to the numerators. So 2x5=10 so its 10/3, then 4x3= 12 so its 12/5. So 10+12 = 22 and the denominators stay at 15. Its 22/15. Now you have to simplify it to 1 whole and 7/15.

Since I already told you how to do this I'm just gonna give you the answers now.

2. 1 whole and 3 /28

3.1/3

4. 2/5

Here is a link to help you. :)







GoAnimate.com: Adding and Subtracting fraction by soto


Heres a video to help you (:

Math Notes

Measures of central Tendency
- A value that represents the centre of a data set
-It can be Mean, Medium or Mode
-A data set is a group of numbers that you must arrange in order from least to greatest.



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


If this^ happens, all you have yo do is find out what number is in between the two numbers. So take 6 and 8, You know that 7 is in between so, 7 is our median. Another way to find out the median...
Take the two middle numbers (6 and 8) add them together (6+8) and that would equal 14 right? So, you take 14, and divide it by 2 (14÷2) and that would equal 7, and seven (7) is our Median.


If this^ happens, remember the first thing you do when you get a data, you have to arrange them from least to greatest, after you do that and you get two numbers in the middle and you wanted to find out the Median, remember: take the two middle numbers (3 and 10) add them together (3+10) and that would equal 13 right? So, you take 13, and divide it bye 2 (13÷2) and that would equal 13, and thirteen (13) is our Median.

Mode- the most frequent occuring in a set of data. Here is how you can remember the meaning, MODE and MOST have both 4 letters and they both start in "MO".

(e.g) 3,5,7,7,9
the Mode would be "7" because it's the most occuring number, there are two of them and only one the other numbers.
(e.g) 2,2,4,6,6,8,11
the Mode would be 2 and 6, because there are two and them and they are both tied for having two numbers.
(e.g) 1,1,1,2,2,2,3,3,3
the Mode is nothing because there are three of them for each number.
(e.g) 1,1,1,2,2,2,3,3,3,4
If this happens, the mode this time would be 1,2 and 3, because they are all tied for being first.

Mean- A measure of central tendency. Th sum of a set of values divided by the number of values in the set.





The Mean in this^ image is 6, because the data states 4, 6, and 8, So you take all the numbers in the data (4, 6, and 8) and then add them up (4+6+8) and then that would equal 18 right? So, take 18 and divide it by how much numbers there are in the data, In this data there are 3 numbers, (18÷3) and that would equal to 6, So 6 is our Mean.


Range- The positive difference between the largest and smallest values in a data set.

If this^ happens, always remember when you get a data set, you have to order them from least to greatest, after you do that you take the biggest number (in this situation it's #9) and the smallest number (in this situation it's the #1) and subtract the biggest number to the smallest number (9-1=8) and that would equal to 8, so 8 is our Range.

Outlier- A value that is much longer or smaller than the other data value, the data set may have more than 1 outlier or zero outliers.

The outliers for 1,67,68,67,64,65,100 would be 1 and 100, because the rest of the numbers are somewhere in the 60's and 1 and 100 are so far off.

MATH HOMEWORK FOR TODAY:

Find out the Mean, Mode, Range, Outliers, for the following data set.
1.) 18,19,79,17,20,12

2.)14,14,16,15,1,16

3.)98,202,99,91,2,95,89,88,94

*Here is a LINK where you can learn more facts about Measures of Central Tendency.

*Here is also a link to a VIDEO about Mean, Median and Mode.

Math Notes

Here are just some notes that we took down.
You might want to review some of them if you're having trouble.
I also added examples for most of them.
The images below explains Variables, Expressions, Value, Constant and Numerical Coefficient.

Here is a LINK you might want to click if you want to practice writing expressions.

I also found a VIDEO about how to write an expression.

Notes for June 1st, 2011

equation- mathematical statement with two expressions that have the same value.
eg. x+2=3 y-7=(-4) 3a-2=a+2 b=4


model: 8 times a number plus 4 is 12. 8n+4=12

Identify the constant, variable, and numerical coefficient.

opposite operation:

addition, subtraction
subtraction, addition
multiplication, division
division, multiplication

Problem #1:




Problem #2:




Link to an AMAZING game:

http://www.math-play.com/Algebraic-Expressions-Millionaire/algebraic-expressions-millionaire.html

AWESOME algebra music video:

Notes, June 1,2011

Equation - Mathematical statement with two expression that have the same value

Make an expression :

eight times a number plus four is twelve

Answer:

8n+4=12

Identify what are the constant, variable, and numerical coefficient.

Answer:

Opposite Opperation:

subtraction,addiction

addiction,subtraction

division,multipulcation

multipulcation,division

Number of the Day 17-25

The number of the day is 8675.309

17) Using the digits in the 1s and the 10s place respectively make a two digit number and write the prime factors.

Because of respectively make a two digit number you have to use the order that they said first which was the ones place, so the number in the 1s place is 5 then the 7 is in the 10s place. Now you make a number using that order so 57.

Because the prime factor itself is a prime number the only factors are 1 and itself.
So the prime factors are 57 and 1.

18) Add negative 2 to the digit in the 10s place using pictures.

-2+ 7=5

Diagram: There is two negatives - - and there is 7 postives + + + + + + +
So its asking to add them together. If your adding a negative number and a postive number what ever number in the equation is bigger thats the kind of number you'll get. Ex. -3+4.
4 is bigger than 3 so the symbol you'll have a postive. So now you have to make a zero pair. You have 2 negatives and 7 postives. You have enough +s so you put 2 negatives and postives together -+ -+ and you imaginaryly throw them away. Now you are left with +++++ and thats your answer.

19) Subtract negative 3 from the digit in the ones place using pictures

5-(-3)= +2

This is because you have five positives +++++ and 3 negatives - - - . Then you have to take away negatives, so you have enough postives so you make your zero pairs. So you end up taking away 3 zero pairs. +- +- +- and your are left with 2 positives + +. and thats you answer!!

20) Write a fraction using the 1000s place as the denominator and the tenths places as the numerator.

8675.309 in this number 8 is in the thousands place and 3 is in the tenths place.

If 8 is the denominator then its at the bottom blank/8 so now 4 is at the top 4/8 you can still simplify this into 1/2.

21) Use any 2 digits to make an improper fraction.

Just to remind you an improper fraction is a fraction where the numerator is bigger than the denominator.

So now you just choose 2 numbers where the numerator will be bigger than the denominator. Like: 8/5 , 7/6 and 9/3. You try and find the rest of the improper fractions.

22) Use any digits to make a mixed fraction.

A mixed fraction is a fraction where it has a whole number and a proper fraction.

Now just choose a number for a whole number, and number for a numerator and a number for the denominator. Make sure the numerator isnt bigger than the denominator or that will become a improper fraction. Like 3 4/8

23) Write the answer to the number 22 as a decimal.

3 4/8 So you first you know that you can simplify it so 4/8 is now 1/2. so its 3 1/2. Now you divide, so 1 divided by 2 then you'll get .5. Now you have the whole left so its 3.5

24) Draw a picture to represent the answer to number 22











Okay now you had 3 4/8 right? So there was 3 wholes, and 4/8 when i drew mine I did mine simplified into 1/2.
25) Write the answer is 21 as a percent.

Because there was alot of ways to make an improper fraction I will just pick one.

6/5 is my improper fraction. So now you just divide the numerator with the denominator. So its 6 divided by 5 is 1.2 then you multiply it by a hundred.

OR

You can do this...

Here is a song that will help you with integers.



If This video doesn't work just go to this link to see the video !!!!!!! INTEGERS!!!
And If my post gets all spaced again it just does that by itself sometimes.

Here is a game to help you with adding and subtracting integers because I think that is the hardest thing to do in this whole thing. XD

HOPE THIS HELLPED!!

Adding Mixed Numbers

Mixed number is a whole and a proper fraction.
        
          eg. 1 1/4  , 2 1/3, 3 5/6

Improper Fraction- Fraction with a greater numerator than denomenator.

         eg. 6/2, 5/4, 4/3, 12/8

Subtracting Like Denominators

*Subtracting Like Denominators*

When you are subtracting like denominators you subtract the numerators and not the denominators, so the denominator will stay the same.

For example

2/3-1/3=1/3 because 2-1=1 then you leave the denominator the same.

5/6-1/6=4/6 you can't just leave this fraction the same because you can still simplify it.

You simplify until both numbers can not be divisible by the same number.

Or find the greatest common factor for both numbers and divide the numerator and denominator by it.

So 4/6 will be 2/3 because the greatest common factor is 2.

Try these questions for practice :D Simplify them if they can be simplified.

1.3/7-2/7=

2.4/10-2/10=

3.24/30-12/30=

*Answers to see if your wrong or not :D*

*GCF* stands for greatest common factor.

Here is a link and video to help you :D

CLICK ON THIS FACE ^_^ to see the video
CLICK ON THIS FACE XD to see the link :D I hope this helped you XDD

Answering Norien's Probability Question

What is the probability of spinning on BLUE. Express your answer as fraction, ratio and percent.

ANSWERS:

FRACTION: 3/12 = 1/4

RATIO: 3:12, 1:4

PERCENT: 25%

Answering Mary's Probability Question

What is the probability of spinning YELLOW on my spinner?

Express as a fraction, ratio and as a percent

Answer:

Fraction: 2/8 = 1/4

Ratio: 2:8 or 1:4

Percent: 25%

Ghelo's Probability Question

What is the probability of spinning on BLUE? Express you answer as a fraction, ratio and percent.

Answering Joshua's Probability Question

What is the probability of spinning a GREENon this spinner? Please express as a Fraction, Ratio and Percent.

My answer: 2/8 or 1/4 , 2:8 or 1:4, 25%

Oudorn's Probability Question

What is the probability of spinning p(1, 3, or 6)? Express as a Fraction, Ratio, and Percent.

Answer to Charry's Question

Question:

What is the probability of spinning GREEN? Express your answer in Fraction, Percent and Ratio.

My answer(s) :
FRACTION: 4/8 or 1/2
PERCENT: 50%
RATIO: 4:8 or 1:2

Answer to Joshua's Question

Question:

What is the probability of spinning a GREEN on this spinner? Please express as a Fraction, Ratio and Percent.


My answer (s) :
FRACTION: 2/8 or 1/4
RATIO: 2:8 or 1:4
PERCENT: 25%

Answer to Mary's Question

Question:

What is the probability on spinning P(YELLOW) on my spinner? Express your answer in a fraction, percent, and ratio.


My answer(s) :
FRACTION: 2/8 or 1/4
PERCENT: 25%
RATIO: 2:8 or 1:4

Isabel's Probabilty Question

Question:

What is the probabilty of having a WHITE/ P(WHITE) jelly bean(s)? Explain your answer with FRACTION,RATIO and PERCENT.

Answer to Charry's question

Question: What is the probability of spinning Green? Express your answer in Fraction, Percent and Ratio.

Answer: 4/8 or 1/2, 50%,4:8 or 1:2.