1 / 5

LI: To understand Estimation and Approximation

LI: To understand Estimation and Approximation. SC: Round numbers to a given number of decimal places and significant figures. Decimal Places. 0,1,2,3 and 4 are on team "down" 5,6,7,8 and 9 are on team "up". Significant Figures

janice
Download Presentation

LI: To understand Estimation and Approximation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. LI: To understand Estimation and Approximation SC: Round numbers to a given number of decimal places and significant figures.

  2. Decimal Places • 0,1,2,3 and 4 are on team "down" • 5,6,7,8 and 9 are on team "up" Significant Figures To round "so many" significant digits, just count digits from left to right, and then round off from there. Note: if there are leading zeros (such as 0.006), don't count them because they are only there to show how small the number is.

  3. Tauranga City • Tauranga is a growing and vibrant city of over 111,000 people.  Our population has almost doubled in the last 20 years and by 2021 it is expected to reach 141,000. • The city covers an area of 13,440 hectares.  • We have a ten year plan projecting the Council’s capital expenditure over the next decade to be around $1,103,450,000.  On average, 60% of our expenditure each year is growth related. • As at 30 June 2010 we had 50,026 rateable residential and commercial properties. Revenue received from rates in the 2009/10 year was $82.46 million.  The total assets of the Council as at 30 June 2010 were $3.523 billion and total liabilities $397.5 million. • Tauranga has a higher than average number of residents who identify themselves as Maori -16.1% compared to 14.7% nationally (source: 2006 Census).  There are three main iwi that most Tauranga Maori residents are affiliated to – Ngaiterangi, Ngati Rangainui and Ngati Pukenga. • Tauranga has a sub-tropical climate. The average temperature is 14.2C and the city enjoys about 2,400 hours of sunshine a year.  Average rainfall is 1,349mm (1.349m) http://www.tauranga.govt.nz/about-tauranga-city.aspx

  4. Significant Figures • The population of Auckland in 1991 was 885,571. • What is this to the nearest 10? • What is this to the nearest 100, 1000, 10000, 100000? • Mt. Everest is 8854 m high. • A particular book says it was 8900 m high. • The book is right if it is given to the nearest 100 m. • Which figures are significant? 8 and 9 • What is the point of the zeros? placeholders • Mount Cook is 3753.5 metres high. • How would your rewrite this number if rounded to 2 significant figures? 3800 m • Round it to the nearest 10m. 3750m • How many sig. figs. does the number have now? 3

  5. Significant Figures • E.g. • George uses 6.852cm of wood for his craft boat. Round this number to 3 sig. figs. 6.85cm • There are 46.965grams of salt required for a science experiment. Round this number to 3 sig. figs. 47.0g • 0.0504725 was the reading on a pressure monitor. Round this to 4 sig. figs. 0.05047 • In Terenceville, 34592 people contracted a highly contagious flu. Round this number to 2 sig. figs. 35,000 • To round to a number of significant figures: • Count the required number of figures from the first non-zero figure. • Omit the following figures. • If the first figure omitted is 5 or greater, increase the last figure by 1.

More Related