Integers Done by Greshma,Anshul,Sanchitha, Srivats,Khushi and Rishabh.

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Presentation transcript:

integers Done by Greshma,Anshul,Sanchitha, Srivats,Khushi and Rishabh

Mathematician who discovered integers Who is Bramhagupta ?Who is Bramhagupta ? 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,quadratic equation 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.

Peom here is a poem made by Bramhagupta,to make it easier to understand integers here is a poem made by Bramhagupta,to make it easier to understand integers A debt minus zero is a debt. A fortune minus zero is a fortune. Zero minus zero is a zero. A debt subtracted from zero is a fortune. A fortune subtracted from zero is a debt. The product of zero multiplied by a debt or fortune is zero. The product of zero multiplied by zero is zero. The product or quotient of two fortunes 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 product or quotient of a fortune and a debt is a debt. A debt minus zero is a debt. A fortune minus zero is a fortune. Zero minus zero is a zero. A debt subtracted from zero is a fortune. A fortune subtracted from zero is a debt. The product of zero multiplied by a debt or fortune is zero. The product of zero multiplied by zero is zero. The product or quotient of two fortunes 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 product or quotient of a fortune and a debt is a debt.

Rules 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 subtract Different signs subtract Take the sign of the greater absolute value Take the sign of the greater absolute value Then you’ll be exact Then 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 Normally when the temperature becomes lower than 0 we start denoting it by a ‘-’ sign and when the temperature is above o we denote it by a + sign. Case Study 2 Case Study 2 The temperature in the morning was -1 °C by noon it became 7 °C The temperature in the morning was -1 °C by noon it became 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 by noon=7 °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

Places Name Summer SummerWinter Antarctica -15 °C to -35 °C -40 °C to -70 °C Egypt 40 °C 18 °C Delhi 45 °C 4 °C Bangalore 32 °C 18 °C Alaska 21 °C -34 °C Sri Lanka 26 °C 16 °C

Real Life Situations GOLF- Instructions GOLF- Instructions Step 1 Step 1 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 different holes. 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 different holes. Step 2 Step 2 Mark the score made on each hole in each of the 18 different columns by noting the number of strokes made on the hole. Mark the score made on each hole in each of the 18 different columns by noting the number of strokes made on the hole. Step 3 Step 3 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 scorecard. Many professionals shoot around 65 strokes in a round, while most beginners can be as high as 125. 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 scorecard. Many professionals shoot around 65 strokes in a round, while most beginners can be as high as 125.

Step 4 Step 4 Look at the "Par" listed in the same column as each hole. These par numbers indicate the number of strokes that it should take to finish each hole, and can be either 3, 4 or 5. Look at the "Par" listed in the same column as each hole. These par numbers indicate the number of strokes that it should take to finish each hole, and can be either 3, 4 or 5. Step 5 Step 5 Subtract the par number from the number of strokes you 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 be indicated as "+2." Subtract the par number from the number of strokes you 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 be indicated as "+2.".

Step 6 Step 6 Read your score for each hole, or for the entire round, by looking at either the number of strokes taken, or by computing the score over or under par for the hole or the entire course. Read your score for each hole, or for the entire round, by looking at either the number of strokes taken, or by computing the score over or under par for the hole or the entire course.

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

Citations :Google Images-Bramhagupta, Google Web- biography of Bramhagupta,nrich mathematics, finder.com finder.comwww.goal THANK YOU!!!!!!! THANK YOU!!!!!!!

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