integersintegersDone by Done by

Greshma ,Anshul ,Sanchitha, Greshma ,Anshul ,Sanchitha, Srivats ,Khushi and Rishabh Srivats ,Khushi and Rishabh

Mathematician who discovered integersMathematician who discovered integers

Indian mathematician and astronomer. His principal work, the Brahma-sphuta-siddhanta ("The Opening of the Universe"), most of which deals with planetary motion, also contains important proofs of various geometrical theorems on quadratic equations, the geometry of right triangles, and the properties of geometric solids.

This Indian mathematician applied his mathematical skills to solving astronomical and geometrical problems with mixed success -- he made as many errors as correct applications. However, his arithmetic, which included negative numbers and zero, was much better (although still containing a few errors) and his algebra, especially his work with Diophantine equations, generally excellent.

PeomPeom

here is a poem made by Bramhagupta ,to make it here is a poem made by Bramhagupta ,to make it easier to understand integerseasier to understand integers

A debt minus zero is a debt. A fortune minus zero is A debt minus zero is a debt. A fortune minus zero is a fortune. Zero minus zero is a zero. A debt a fortune. Zero minus zero is a zero. A debt subtracted from zero is a fortune. A fortune subtracted from zero is a fortune. A fortune subtracted from zero is a debt. The product of zero subtracted from zero is a debt. The product of zero multiplied by a debt or fortune is zero. The product multiplied by a debt or fortune is zero. The product of zero multiplied by zero is zero. The product or of zero multiplied by zero is zero. The product or quotient of two fortunes is one fortune. The product quotient of two fortunes is one fortune. The product or quotient of two debts is one fortune. The product or quotient of two debts is one fortune. The product or quotient of a debt and a fortune is a debt. The or quotient of a debt and a fortune is a debt. The product or quotient of a fortune and a debt is a debt.product or quotient of a fortune and a debt is a debt.

Rules to perform operations of integersRules to perform operations of integers

For addition and subtraction For addition and subtraction Same signs keep and add Same signs keep and add Different signs subtractDifferent signs subtract Take the sign of the greater absolute value Take the sign of the greater absolute value Then you’ll be exactThen you’ll be exact For multiplication and division For multiplication and division SPON WORKS!!!SPON WORKS!!! Same signs positive Same signs positive Different signs negative Different signs negative

Temperature Temperature Normally when the temperature becomes lower than 0 we start Normally when the temperature becomes lower than 0 we start

denoting it by a ‘-’denoting it by a ‘-’sign and when the temperature is above o we denote it by a + sign and when the temperature is above o we denote it by a +

sign.sign. Case Study 2Case Study 2 The temperature in the morning was -1 °C by noon it became The temperature in the morning was -1 °C by noon it became

7 °C 7 °C . By how many °C did the temperature rise by?. By how many °C did the temperature rise by?Temperature at the morning =-1 °C Temperature at the morning =-1 °C Temperature by noon=7 °C Temperature by noon=7 °C Therefore rise in temperature =7 °C -(-1 °C )Therefore rise in temperature =7 °C -(-1 °C ) =7 °C +1 °C =7 °C +1 °C =8 °C =8 °C

Therefore the temperature rose by 8 °C Therefore the temperature rose by 8 °C

Places Name Places Name SummerSummer WinterWinter

AntarcticaAntarctica -15 °C to -35 °C -15 °C to -35 °C -40 °C to -70 °C -40 °C to -70 °C

EgyptEgypt 40 °C 40 °C 18 °C 18 °C

DelhiDelhi 45 °C 45 °C 4 °C 4 °C

BangaloreBangalore 32 °C 32 °C 18 °C 18 °C

AlaskaAlaska 21 °C 21 °C -34 °C -34 °C

Sri LankaSri Lanka 26 °C 26 °C 1616

°C°C

Real Life SituationsReal Life Situations

GOLF- InstructionsGOLF- Instructions Step 1Step 1

Notice the different rows on a golf scorecard. There are rows for "Par" Notice the different rows on a golf scorecard. There are rows for "Par" and for your number of strokes, as well as for the numbers of the 18 and for your number of strokes, as well as for the numbers of the 18 different holes.different holes.

Step 2Step 2 Mark the score made on each hole in each of the 18 different columns by Mark the score made on each hole in each of the 18 different columns by

noting the number of strokes made on the hole.noting the number of strokes made on the hole. Step 3Step 3 Add the score for the entire round by adding the number of strokes made Add the score for the entire round by adding the number of strokes made

on each of the 18 holes and totaling them in the box at the end of the on each of the 18 holes and totaling them in the box at the end of the scorecard. Many professionals shoot around 65 strokes in a round, while scorecard. Many professionals shoot around 65 strokes in a round, while most beginners can be as high as 125.most beginners can be as high as 125.

Step 4Step 4 Look at the "Par" listed in the same column as each Look at the "Par" listed in the same column as each

hole. These par numbers indicate the number of strokes hole. These par numbers indicate the number of strokes that it should take to finish each hole, and can be either that it should take to finish each hole, and can be either 3, 4 or 5.3, 4 or 5.

Step 5Step 5 Subtract the par number from the number of strokes you Subtract the par number from the number of strokes you

took to read the score for each hole. If the par number took to read the score for each hole. If the par number was 4 and you took 6 strokes, your score for the hole will was 4 and you took 6 strokes, your score for the hole will be indicated as "+2."be indicated as "+2."

..

Step 6Step 6 Read your score for each hole, or for the entire round, by Read your score for each hole, or for the entire round, by

looking at either the number of strokes taken, or by looking at either the number of strokes taken, or by computing the score over or under par for the hole or the computing the score over or under par for the hole or the entire course.entire course.

BudgetingBudgeting

Tuition fees-62%Tuition fees-62% Room-17%Room-17% Board-10%Board-10% Books-3%Books-3% Transportation-8%Transportation-8%

Negative integers in carom boardNegative integers in carom board

If you hit the carom board stricker in one of If you hit the carom board stricker in one of the four holes you get a -1 point. the four holes you get a -1 point.

Citations :Google Images-Bramhagupta, Google Web- Citations :Google Images-Bramhagupta, Google Web- biography of Bramhagupta ,nrich biography of Bramhagupta ,nrich mathematics ,www.wiki.answers .commathematics ,www.wiki.answers .com

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We would Bhagya mam for all the We would Bhagya mam for all the valuable time she spent on us . We also valuable time she spent on us . We also thank her for giving us time to the power thank her for giving us time to the power point in the school. We thank Vinish sir for point in the school. We thank Vinish sir for helping us to work with the computers .helping us to work with the computers .