# Characteristics of integers

## What are the 3 characteristics of an integer?

The set of integers includes

**zero, negative and positive numbers without any decimal or fractional parts**. They are numbers that represent whole things without pieces either above (positive) or below (negative) a standard value. They also include zero.## What are the 6 properties of integers?

**What are the Properties of Integers?**

- Closure Property.
- Associative Property.
- Commutative Property.
- Distributive Property.
- Identity Property.

## What are 5 examples of integers?

An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are:

**-5, 1, 5, 8, 97, and 3,043**. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .## What are the 4 types of integers?

**All Integer Numbers**

- Natural numbers.
- Whole numbers.
- Integers.
- Rationals.
- Real numbers.

## What are integer rules?

RULE 1:

**The product of a positive integer and a negative integer is negative**. RULE 2: The product of two positive integers is positive. RULE 3: The product of two negative integers is positive. RULE 1: The quotient of a positive integer and a negative integer is negative.## Is 0 an integer number?

As a whole number that can be written without a remainder,

**0 classifies as an integer**.## What are the main types of integers?

Integers come in three types:

**Zero (0)****Positive Integers (Natural numbers)****Negative Integers (Additive inverse of Natural Numbers)**## How do we classify integers?

Integers are

**numbers that do not have a fractional part, including positive and negative numbers and zero**. Whole numbers are positive integers and zero. Natural numbers are positive integers and are sometimes called counting numbers.## How can you tell if a number is an integer?

You need to first check if it’s a number. If so you can

**use the Math.****Round method**. If the result and the original value are equal then it’s an integer.## What are the 7 properties of integers?

**Properties of Integers**

- Closure Property.
- Associative Property.
- Commutative Property.
- Distributive Property.
- Identity Property.

## How many properties are in integers?

The three properties of integers are: Closure Property. Commutativity Property. Associative Property.

## What are the 4 properties of addition?

**The four basic properties of addition are:**

- Commutative property.
- Associative Property.
- Distributive Property.
- Additive Identity Property.

## How do you use properties in integers?

The commutative property of integers under addition and multiplication states that the result of the addition and multiplication of two integers is always the same regardless of their order.

…

Commutative Property of Integers.

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Commutative Property of Integers.

Operation | Examples | Result |
---|---|---|

Division | -6 Ã· 3 = -2 3 Ã· (-6) = -1/2 | Does not hold true |

## What are the properties of integers class 7 with example?

Integers are

**closed under addition**, i.e. for any two integers a and b, a + b is an integer. Ex: 3 + 4 = 7; (â€“ 9) + 7 = â€“ 2. Closure property under subtraction: Integers are closed under subtraction, i.e. for any two integers a and b, a â€“ b is an integer.## Are integers commutative?

**Integers are commutative under addition**when any two integers are added irrespective of their order, the sum remains the same. The sum of two integer numbers is always the same. This means that integer numbers follow the commutative property. The above examples prove that the addition of integers is commutative.