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Citations and Reference

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Citations and Reference

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  1. Integersdone by6 A- group 3 sridattha.c-leader vishwadutt danica amog sahana dhanush

  2. Citations and Reference • www-groups.dcs.st-and.ac.uk/~history.html • www-history.mcs.st-and.ac.uk/Mathematicians.html • en.wikipedia.org/wiki • books.google.com • www.britannica.com/EBchecked/topic/77073

  3. History of integers During the 600s, negative numbers were in use in India to represent debits However ,in the 12th century in India , Bhaskara gives negative roots for quadratic equations but says the negative value ‘is in this case not to be taken , for it is inadequate; people do not approve of negative roots.’ As recently as the 18th century ,the Swiss mathematician leonard Euler believed that negative numbers were greater than infinity.

  4. Inventors of integers • Gerolamo Cardano • Brahmagupta • Francis Maseres • William friends • De Morgan, • Peacock

  5. Negative integers are commonly seen in sports. Consider hockey Each line of players records a plus or a minus. If other team scores on your line that’s a minus. If some one plays on your line and scores a goal that a plus if neither team scores then it’s a 0.

  6. Banks Finally banks and credit card unions use negative numbers Negative numbers can be used to represent debits and positive to represent credits It is easy to see how banks and credit cards use positive and negative integers to show weather money is deposited or withdrawn.

  7. Case study weatherof Indian cities • A better understanding of integer concepts is obtained by doing case studies. • Lets take an example of the weather of Indian cities . • We have taken two cities both which are situated below the sea level and compared the temperature of the cities of the year 2009. • The first city is Kargil which is 3048m below sea level. • The second is Delhi which is 239m below the sea level.

  8. Average temperature =sum of temperatures number of months Kargil : {(-4) +(- 2)+ 5+14+21+26+30+29+25+19+10+1} ÷12 =14.125 Delhi (21+24+29+36+40+29+35+34+34+34+28+23) ÷12 =36.3333…

  9. A man walks 75 km due north and then 9 km due south. Find his position with respect to his starting point ? Solution: Let the starting point be zero. Let the movement towards north be represented by a ‘+’ sign Then let the movement towards south be represented by a ‘-’ sign World problem

  10. Therefore 75km due north = +75 90km due south = -90 On adding we get, =+75+(-90) =75-90 = -15 Therefore his position with respect to his starting point is 15km due south

  11. Acknowledgement Group 3 thanks Bhagya maam, for giving us the wonderful opportunity to help us make this PowerPoint presentation successful project thank you maam!

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