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Math notes (2)

For assessment week.

Yi Tao Sim

on 28 October 2012

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Transcript of Math notes (2)

photo credit Nasa / Goddard Space Flight Center / Reto Stöckli BY Sim Yi Tao 6W Math Notes Numbers When you Divide by 10, you cancel down the zero as you go or if there are no zeros left to take down, then you place the decimal point 1 step up as you go. when multiplying by 10, you just add zero every time you multiply by 10. dividing and multiplying by 10 question 1: 1350/10= 135
question 2: 1234/10= 123.4 question 3: 27 X 10=270
question 4: 153 X 10= 1530 Prime numbers are numbers which have no factors rather than itself and 1. Composite numbers are numbers which have 2 or more factors. Prime and Composite numbers question 5: is 17 a prime or composite number = prime
question 6: is 2 a prime or composite number=prime question 7: is 16 a prime or composite number= composite
question 8 : is 21 a prime or composite number= composite Negative numbers are numbers which range below 0. eg. 1 below 0 is -1. Negative numbers question 9: what is 22 below 0= -22 Number Systems there are 4 types of number systems. the Egyptian, Babylonian, Roman and the one we use, the Hindu- Arabic numerals Egyptian

1= 10=

100= 1000= Babylonian

60= Roman
1=I 2=II 3=III 5=V 10=X 50=L 40=XL
100=C 500=D 1000=M To do mixed operations, first you do the number sentence in the brackets. Then multiply or divide. Lastly, add or subtract. Mixed Operations question 13: (15 X 3)+ 88/8= 56 Money these are the definitions for these words.

withdrawal: money taken out from a account.
Deposit:money goes in your bank account.
Transaction: withdrawal or deposit of your account
Salary: money earned from a job
Debit: money taken from a account
Credit: money put in a account
Balance: amount of money in a account
Cheque:written argument to pay someone
ATM: Automatic Transaction Machine
Eftpos: Electronic Funds Transfers at Point Of Sale
Interest: Bonus on terms of money with your deposit or the extra money you need to pay if you borrow money from the bank. Operations with money Exchange Rates.

To convert the price from USD to HKD. You use the exchange rate and then multiply the price and the foreign currency.To convert HKD to USD.You use the exchange rate and then divide the foreign price and its currency Exchange rates

question 15: if 1 USD =3 RM. Then how many RM will it equal to 5 USD= 15 RM

question 16: if a salad costs 6.50 HKD and the exchange rate is 1 GBP= 5.50 HKD. Then how much GBP will it cost to get a salad: 1.18 (GBP). Shape To find out the area of a triangle, first you find out the length of the Pependicular height (PP) and the base (B). you multiply them to get the amount. That is to find out the area of the rectangle because half of a rectangle is a triangle. You then take the amount you got for the rectangle and divide it by 2 to get your final answer Area of Triangles the questions for chapter 1: numbers questions:numbers dividing and multiplying by 10 prime and composite numbers negative numbers question 10= how do you make 22 in Egyptian= number systems question 11: how do you write 123 in Babylonian= question 12: how do you write 1275 in Roman: MCCLXXV Symmetry is like a mirror. When cut in half, both sides are identical to each other and when joined, it will be a complete picture without any differences Symmetry Large numbers Mixed operations Polygons are shapes which have angles in them. examples of polygons are simple, everyday shapes like triangles,rectangles and squares and much more not often used shapes like decagons. Polygons The questions for chapter 2: money Questions : money These are questions for chapter 3: shape. Questions: shape Area of triangles

question 18: work out the area for the rectangle and triangle with the guide from this triangle with measurements = rectangle: 12m triangle: 6m 3m 4m Symmetry question 19: is this a line of symmetry ?= yes question 20: is this a line of symmetry?= no Polygons

question 21: is a octagon a polygon: yes

question 22: is a circle a polygon: no Patterns To know how to work out patterns, first have a look at the example (if they have 1) and the pattern you are working at. Are there any similarities? Then work analyse the whole pattern and work it out. patterns These are the patterns for chapter 4: pattern Questions: patterns patterns
1. see the pattern

& 1 2 3 4 5 6 9
& 5 10 15 20

2. work out what comes next = A.
& 1 2 3 4 5 6 9
& 5 10 15 20 25 30 45

3. what is the pattern= example multiply by 5 Fractions For example, 1/2= 50%=0.5 and 1/4= 25%=0.25. This is called equivalence and to work it out, you need to know your fractions, decimals, percentages and more. equivalence Operations with fractions these are the questions for chapter 5: fractions. Questions: fractions Equivalence

work out these questions:

50%= 1/2
25%= 1/4
33.3%=1/3 decimals To write remainders as decimals, you just put the decimal point instead of the r for remainder. Eg. 25r2= 25.2, 31r2=31.2 remainders as decimals To writre decimals, you add a .which represents a decimal point. there are 3 decimal places which go after the decimal point. the first column is the tenths column. Then the second, the hundredths column and the third column is the thousandths column. To work out decimals, you need to work out how many decimal places there are. 31.1= 1dp (decimal place), 31.15= 2dp, 31.157=3dp and so on. Decimals equivalence 2 Eg. 0.25=1/4= 25%, 0.1= 1/10= 10%. These are the equivalences for decimals These are the questions for chapter 6: decimals Questions: decimals question 26 :Decimals as remainders

turn these remainders as decimals

75r1= 75.1
812r2= 812.2 question 27: Decimals
do these questions

21.21 = hundredths column
32.2 = tenths column

question 28: how many decimal places?:

53.34= 2dp
22.4=1dp question 23: question 24: question 29: equivalence 2

3/4=0.75 measurement g, kg and t are all types of mass. g is used to weigh small things and quantities like a tablespoon of sugar or a pencil. kg is used for heavy objects like a bag of flour or your pet dog. t is normally used for massive objects like a car or a box of cargo. mass To calculate the large number, you must work out from a smaller number and work yourself up to a bigger number depending on the question asked.

For example, to find out how many hours you sleep in 10 years , you must work out how many hours you sleep in a day, then multiply by how many 365 days which equals to 1 year and multiply the total by 10 years, which will give you the final answer. Key
X= multiply
/= divide Large numbers question 14: how many hours are there in 5 years= 43, 800 hours. (remember to do the working out step by step). to work out time zones on a map, you must know what time is what time by remembering this. 15 degrees east= +1 hour. 15 degrees west= -1 hour. the middle line is in Greenwich, England. time zones These are the questions for chapter 7: measurement Questions: measurement Mass
question 30: find out the type of measurement they use for these items by using g, kg or t

1 paperclip= g
1 dictionary= kg
1 truck= t
1 frog= g question 31: use the map as a guide to do these questions

what time is it when it is 12 o'clock midnight GMT in:

Australia= 10am

Brazil= 9pm

Mongolia=7am time zones data There are three types of graphs and all of them are used differently for different types of information. there are bar graphs, pie graphs, line graphs and divided bar graphs. bar and divided bar graphs are used to show information all recorded in 1 go. Pie graphs are used for the same type of information a bar and divided bar graph is used. But instead of drawing bars and numbers, you draw angles according to the measurements which depends on the number of something recorded. A line graph is for continous information like the temperature in 1 week or how much your company earns. Graphs Operations with money

question 17: give the definition of these words

ATM: Automatic Transaction Machine

Debit: money taken from your account

Credit: money put in a account These are the questions for chapter 8: graphs

question 32: what graph is...

its used for......= information recorded all at once

what graph is...

its used for......= information recorded continously Questions: data = pie graph = line graph Mode, Median and Mean Mode is the number which appears the most. eg. 3, 4,4 , 5, 5, 5, 6, 7 = the mode is 5 because it is the number which appears the most. Mode Operations with fractions include multiplying fractions, dividing fractions, adding fractions and subtracting fractions.
eg, 1/4 X 1/2= 1/8.
eg, 1/4 / 1/2= 1/4 X 2/1= 2/4.
eg, 1/4+ 1/2= 1/4+ 2/4= 3/4.
eg, 1/2- 1/4= 2/4- 1/4= 1/4. question 25: operations with fractions work out these questions

1/8 X 1/2= 1/16

1/8 / 1/2= 1/8 X 2/1= 2/8= 1/4

1/8 + 1/2= 1/8 + 4/8= 5/8

1/2 - 1/8= 4/8 - 1/8= 3/8 Median is the number which is in the middle of the number line. eg. 1, 2, 3, 4, 5 = 3 is the median number because it is in the middle of the number line. But sometimes there is an even number of numbers in a number sentence. So instead of picking the middle number in a number sentence with an odd number of numbers, you take the 2 numbers in the middle, add them up and then divide it by 2. eg. 1, 2, 3, 4, 5, 6 = 3+ 4= 7 / 2 = 3.5. The median is 3.5. Median Mean is another way to say average. eg. 1,2 ,2 ,3, 4, 5,5.= 22 / 7 = 3.14. Mean These are the questions for the final chapter: mode, median and mean Questions: mode, median and mean Mode

question 33: find the mode in this number line 3, 6, 6, 6, 9 ,9 ,12 , = The mode is 6 Median

question 34: find the median in these number lines A. 4, 8, 12, 16, 20 = the median is 12

B. 2, 4, 6, 8, 10, 12 = 6+8= 14 / 2= 7 Mean

question 35: find the mean

5, 10, 15, 20, 25,30 = 105 / 6= 17.5 Thank you for using my Assessment week revision prezi.
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