Math, asked by vichitrayadav6292, 1 year ago

I cannot understand that what is integer

Answers

Answered by shreyakumbhar
1

Hii


Okay! Let's start with a brief History that why we needed this.

There are a lot of different types of numbers in the world. Each number is different than another, yet they may share some common characteristics. To help themselves keep track of and understand the similarities and differences between numbers, mathematicians have developed a grouping system that categorizes and describes numbers based on their characteristics.

Some of the most common groups in the system are:

Natural numbers

Whole numbers

Integers

Rationals

Real numbers

The grouping system is very similar to the concept of grouping in geography in which things are grouped in categories using characteristics that get more and more specific. (Country, state, county, city, street…)

What are Integers?

Integers are a special group or category of numbers that:

Consist of the set of numbers: {…-4, -3, -2, -1, 0, 1, 2, 3, 4…}

Are all positive and negative whole numbers, which do not include any fractional or decimal part.

Something which is complete in its own way.

A few things to note here:

There are no fractions or decimals in any part of the numbers

Negative numbers often represent the idea of being below a standard value.

Zero is an integer. In many other number groups whether or not zero is included makes a difference. Note that zero is included in the set of integers.

Remember that categories of numbers overlap. Just like categories of geography (ex. country, state, county, city, street) overlap each other (a street is in a certain city, which is in a certain county, which is in a certain state, etc.) categories of math overlap each other too.

Don't let the notation throw you off. The brackets ( { } )are used to write sets. This is the standard mathematical notation used when you want to list a group (or a 'set') of numbers. The ellipse ( … ) just means they go on and on forever in the same pattern. This is especially helpful when the group you are trying to represent is too big to write out in its entirety.


Real life examples of Integers.!

The number of coins someone adds to or removes from a jar. If you add three coins to a jar, that would be represented by a positive value: +3. Removing three coins from a jar would be represented by a negative value: -3. Since you can only add or remove an entire coin from a jar (not half of or a third of a coin) integers would always represent the number of coins added or taken.


Altitude, rounded to the nearest foot. Denver is at an altitude of 5,183 ft. Parts of New Orleans are at an altitude of -3 ft.

Temperature, rounded to the nearest degree Celsius. Room temperature is approximately 22 degrees Celsius. Freezing is any value below zero, -3 degrees Celsius for example.


I hope this will help you to understand what integers are basically.

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