Q1: (a) 1.154 (to 3 decimal places)
Q1: (b) 1.15 (to 3 significant figures)
Q2: (a) 0.6 (with a dot on top of the digit 6) [since exact answer is required, we express it as a recurring decimal]
Q2: (b) 0.667 (to 3 significant figures) [since the degree of accuracy is not stated in the question, then we'll follow the general instructions]
Q2: (c) $0.67 [since money is expressed up to 2 decimal places]
Q3: It is estimated to be square root of (16 x 81) / 4
which gives 18
Q4: (a) 4/3 (as an improper fraction) or 1 1/3 (as a mixed number)
Q4: (b) 1.33 (to 3 significant figures) [since the degree of accuracy is not stated in the question, then we'll follow the general instructions]
Answer is sent to you to the s2010.sst.edu.sg email account.
Showing posts with label estimation. Show all posts
Showing posts with label estimation. Show all posts
Chapter 3: Approximation and Estimation - Decimals & Significant Figures
In this chapter, we will learn to
Let's revisit something we know...
Rounding Off Numbers to a required number of Decimal places
Quick Notes:
Try the following to recall what you are familiar with...
Activity 1: BBC Skillwise "Rounding & Estimating Number" Quiz
Activity 2: Rounding Quiz
- Round off numbers to a required number of decimal places
- Round off numbers to a required number of significant figures
- Estimate the results of computation
- Understand the concepts of rounding & truncation errors
Let's revisit something we know...
Rounding Off Numbers to a required number of Decimal places
Quick Notes:
Try the following to recall what you are familiar with...
Activity 1: BBC Skillwise "Rounding & Estimating Number" Quiz
Activity 2: Rounding Quiz
- Here's another quiz to round numbers to the nearest thousands, ten thousands, hundred thousands, and millions.
- Click at "CLICK HERE TO TAKE TEST" to start the quiz.
- http://www.softschools.com/quizzes/math/rounding/quiz837.html
- This is a game that you can choose to 'earn' 1, 2 or 3 points in each successful 'throw' of the basketball
- http://www.mrnussbaum.com/rounding/index.html
- In this game, you will complete the course using estimation skills in as few strokes as possible.
- http://www.mrnussbaum.com/estimationvalley.htm
Chapter 3: An Introduction to Approximation and Estimation
Source: My Paper Friday August 8, 2008
In the above newspaper cutting, some figures are exact, some are approximated figures.
Do you know why sometimes exact figures are used, while sometimes approximated figures are used?
From the above newspaper cutting,
(a) Identify one information where exact figure is used, and why you think the exact figure is used.
(b) Identify one information where approximated figure is used, and why you think an approximated instead of exact figure is used?
Chapter 3: Approximation & Estimation - Interesting Figures about the Beijing Olympics
Source: My Paper Friday August 8, 2008
1. Number of days from Opening to Closing Ceremony = 16 days [exact]
- http://en.wikipedia.org/wiki/2008_Summer_Olympics
- Period: 6 to 24 August 2008
- Source: http://news.xinhuanet.com/english/2007-04/16/content_5981951.htm
- There was a range of tickets: Opening Ceremony $200 yuan - $5000 yuan
- Source: http://en.beijing2008.cn/tickets/news/n214482741.shtml
- In all, 6.8 million Olympic tickets were available for domestic and foreign sales.
- Source: http://en.wikipedia.org/wiki/2008_Summer_Olympics
- Note: 11,028 athletes competed
- Source: http://en.beijing2008.cn/sports/
- http://en.wikipedia.org/wiki/2008_Summer_Olympics
- Note: 204 competed [Brunei did not participate]
- http://en.beijing2008.cn/tickets/news/n214482741.shtml
- "Beijing had 15.6 million permanent residents at the end of last year" (i.e. 2007)
- Source: http://www.china.org.cn/english/Life/49302.htm.htm
- "The number of bicycles in Beijing has continued to increase over the past few years, reaching 10 million by the end of last year." (article reported in 2002)
10. Cost of ticket for general admission for softball preliminaries = 50 yuan [exact]
11. Number of official Olympic and paralympic volunteers = 100,000 [approximated]
12. Number of city volunteers to provide tourist services and bolster security = 400,000 [approximated]
13. Number of social volunteers at community level = 1,000,000 [approximated]
14. Weight of rubbished produced in the city (in 2006) = 5,850,000 tonnes [approximated]
15. Forecast number of cars in Beijing by the time of games = 3,300,000 [approximated]
16. Expected number of visitors to Beijing during the games = 2, 500,000 [approximated]
17. Investment in environmental improvement from 1998 to 2006 = 120 billion yuan [approximated]
18. Number of old buses and taxis to be taken off the road before the games = 65,000 [approximated]
19. Length of train track in Beijing by 2008 = 198 km [approximated]
Chapter 3: Approximation & Estimation (TASK) Knowing Singapore
As the Ambassador of Singapore, the class is going to create "At-A-Glance" Fact Sheets for visitors to our Country.
This is an individual task.You are going to create a 'FACT SHEET' for one of the following:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
There is an example:
Key information in the FACT SHEET
- Singapore at a Glance
- Transportation in Singapore
- Education in Singapore
- National Holidays and Festivals
- Singapore Health Care Services: Hospital Care Services
- Public Utilities Board: Water for All
- Event: National Day Parade
- Event: Youth Olympics Game Singapore 2010
- Event: Asian Youth Games Singapore 2009
- Event: F1 Formula Singapore Grand Prix
- Event: Singapore Chingay
- Attraction: The Singapore Flyer
- Attraction: The Singapore Zoo
- Attraction: The Esplanade
- Attraction: Singapore Changi Airport
- Attraction: National Museum of Singapore
- Attraction: Bukit Timah Nature Reserve
- Attraction: Universal Studio, Singapore
- Attraction: The ArtScience Museum
- Attraction: Jurong Bird Park
- Attraction: Marina Bay
- Attraction: Pulau Ubin
- Attraction: Sentosa
- Click at the hyperlink (above) related to the topic that you have been assigned to.
- Identify at least 4 pieces of quantitative information, amongst them 2 must be exact while 2 are estimated figures.
- Organise the information in the keynote slide.
- Include relevant images to bring out the 'flavour' of the topic that you are assigned to.
- Save the slide as an image: FILE > EXPORT > select IMAGES > Next... to save on the desktop.
- Submit your image as a post in the Class Maths Blog (as a co-author)
- Title of the Post: Chap 3: Approximation & Estimation - TOPIC (by Your Name)
- Remember to cite the website which you make reference to.
- Add the label "Approximation, Estimation"
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
There is an example:
Key information in the FACT SHEET- 42% of women and 55% of men are approximated figures
- 11 million is an approximated figure
- 20 sports & recreation centres is an exact figure
- 24 swimming complexes is an exact figure
Chapter 3: Approximation and Estimation - An Introduction (Preparation)
What's the difference between these 2 words - Approximation & Estimation?
On your own, go through the learning activity in the following website
http://www.s-cool.co.uk/gcse/maths/approximations
At the end of the 'visit', you should be able to tell the difference between approximation and estimation, and when each is used in real world...
On your own, go through the learning activity in the following website
http://www.s-cool.co.uk/gcse/maths/approximations
At the end of the 'visit', you should be able to tell the difference between approximation and estimation, and when each is used in real world...
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