Done by-Group 2 Grade: 6 Section :AMarula(leader)Mahima,Aman,Nikitha,Prateeksha,Raj

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Content:i. History and need of negative

numbersii. Application of integersiii. Discovery of integersiv. Background of the mathematician:

Brahmaguptav. Use of integers in real lifevi. Citations vii. Acknowledgement

History and need of negative numbersNegative integers were found in 1000 B.C.E by the Chinese.

It’s first in the east was made by Greece.

In India it was termed as ‘debts’.It became famous in the 16th century.

Application of integersIt is easy to recognize numbers in the real world. 

For example, highways have posted speed limits that are represented in numbers.

People who have obtained a driver’s license understand this system of numbers.  They know that if the posted limit is 110 km/h and they drive 120 km/h, they could be fined. 

Maps have numbers to give directions and information. 

Positive integers are included in the set of whole numbers {0, 1, 2, 3, …}.  It is relatively easy to see how positive integers affect the world.  The implications of negative integers however, may be less obvious.

Mathematician who discovered negative numbers

Brahmagupta describes operations on negative numbers. He first describes addition and subtraction,

The sum of two positives is positives, of two negatives negative; of a positive and a negative [the sum] is their difference; if they are equal it is zero. The sum of a negative and zero is negative, that of a positive and zero positive, [and that] of two zeros zero.... A negative minus zero is negative, a positive [minus zero] positive; zero minus zero is zero. When a positive is to be subtracted from a negative or a negative from a positive, then it is to be added.

He goes on to describe multiplication,The product of a negative and a positive is negative, of two

negatives positive, and of positives positive; the product of zero and a negative, of zero and a positive, or of two zeros is zero.

Brahmagupta was an Indian mathematician and astronomer. Brahmagupta wrote important works on mathematics and astronomy. In particular he wrote Brahmasphutasiddhanta, in 628. The work was written in 25 chapters and Brahmagupta tells us in the text that he wrote it at Bhillamal which today is the city of Bhinmal. This was the capital of the lands ruled by the Gurjara dynasty.

Use of Integers in Real life We use integers in our lives

because they are everywhere in our life and we use them all the time. We use them in school and we read them in our daily lives like in work, even when you read time, you are looking at integers.

Integers help us every day in many ways. They are all around us. We represent profit and loss with integers, while using the lift, we have the minus sign for the floors below the basement. Some escalators also use the positive and negative signs for going up and going down. We also use integers in sports, to represent the deduction of points, or the points gained.

the temperature of three different places

Here the bar starts from 0 and goes up or down depending on the sign

-2oc

-1oc

0oc

use of Integers in SportsHockey each line of players records a plus or a

minus.If the other team scores on your line, that

is a minus.If someone on your line scores a goal, that

is plus.If neither team scores, the result is zero.

Hockey stadium

AltitudeGeographically, we represent sea level with integers.Below sea level is represented with negative integers for example-i. death valley in California is 86m below sea level

which is -86.ii.Antarctica is 2,538m below sea level which is -2,538.When geography specialists study the difference

between a mountain which is above sea level, and a sea which is below sea level they use negative integers.

Example-Mount Everest is 8848m above sea level and the bottom dead sea is 409m below sea level.

BanksNegative integers are used to represent

debits.Positive integers are used to represent

creditsWhen there is an increase in the share value

it is a positive integer.When there is a decrease in the share value it

is a negative integer

RULESADDITION AND SUBTRACTIONSame signs keep and add,Different signs subtract,Take the sign of the bigger absolute value,And then you’ll be exact!MULTIPLICATION AND DIVISIONSPON works!S-Same Signs , P-Positive , O-Opposite

Signs , N-Negative

Citations

www.wikipedia.comwww.google.comwww.wikianswer.com

Acknowledgement:We thank Bhagya ma’am for her

support to make our power point presentation a very big success, allowing us to get such a wonderful opportunity.

thank you!!!