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Integers

Integers are a fundamental concept in mathematics that represents whole numbers, both positive and negative, along with zero. In this mind map, we will explore the properties, operations, and applications of integers. By visually mapping out the different aspects of integers, this mind map will serve as a comprehensive guide for understanding their characteristics and how they are used in various mathematical operations.

Edited at 2023-10-31 08:35:04

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Integers
Integers are a fundamental concept in mathematics that represents whole numbers, both positive and negative, along with zero. In this mind map, we will explore the properties, operations, and applications of integers. By visually mapping out the different aspects of integers, this mind map will serve as a comprehensive guide for understanding their characteristics and how they are used in various mathematical operations.

Integers

WS2zrfiV

Recent works View more works>>

Integers
Integers are a fundamental concept in mathematics that represents whole numbers, both positive and negative, along with zero. In this mind map, we will explore the properties, operations, and applications of integers. By visually mapping out the different aspects of integers, this mind map will serve as a comprehensive guide for understanding their characteristics and how they are used in various mathematical operations.

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Integers

Positive and negative whole numbers

Positive whole numbers are greater than 0

Negative whole numbers are less than 0

Zero is a special integer

Integers can be added, subtracted, multiplied, and divided

Adding two positive integers results in a larger positive integer

Subtracting a positive integer from a smaller positive integer results in a positive integer

Multiplying two positive integers results in a larger positive integer

Dividing a positive integer by a smaller positive integer results in a positive integer

Integers can also be compared using inequality symbols

Greater than (>)

Less than (<)

Greater than or equal to (≥)

Less than or equal to (≤)

Integers can be represented on a number line

always an integer.

Under subtraction, integers are also closed, ensuring that the difference between two integers is always an integer.

Associativity

Addition of integers is associative, meaning that the grouping of three integers being added does not affect the result.

Subtraction of integers is not associative because changing the grouping can yield different results.

Integers can be represented on a number line

A number line is a straight line that represents numbers.

It is divided into equal parts called intervals.

Each interval represents a specific value.

The intervals can be positive or negative, depending on the numbers being represented.

The number line starts from zero, which represents the integer 0.

To represent positive integers, we move to the right of zero.

The farther right we go, the larger the positive integer becomes.

To represent negative integers, we move to the left of zero.

The farther left we go, the smaller the negative integer becomes.

The distance between two integers on the number line represents the difference between those integers.

The number line helps us visualize and compare integers.

It makes it easier to understand the concept of positive and negative numbers.

Number lines are used in various mathematical operations involving integers, such as addition, subtraction, and multiplication.

Integers have properties such as closure, associativity, and commutativity