Table of Contents

## What is an Integer?

An integer is a whole number. It can be positive, negative, or zero. Integer Worksheet – Definition Representing Rules and Properties

## Zero (0)

Zero is a number that represents nothing. It is the result of subtracting a number from itself. For example, the number 5 minus 5 is zero.

## Positive Integers (Natural Numbers)

Positive integers are the counting numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, and so on. They are also called natural numbers.

## Negative Integers (Additive Inverse of Natural Numbers)

The additive inverse of a natural number is a negative integer. The additive inverse of 1 is -1, the additive inverse of 2 is -2, and so on.

## Representing Integers on a Number Line

Integers are the set of whole numbers and their opposites. The set of integers can be represented on a number line. The number line starts at 0 and goes up to infinity. The negative integers are on the left side of the number line and the positive integers are on the right side of the number line.

## Rules of Integers

Integers are whole numbers and their opposites.

The sum of two integers is an integer.

The product of two integers is an integer.

Integers can be divided by each other and produce integer results.

Integers can be multiplied by each other and produce integer results.

## Adding Signed Integer Numbers

Integer numbers can be signed or unsigned. Signed integers can have a positive or negative value, while unsigned integers can only have a positive value.

To declare a signed integer, use the int keyword followed by a sign character, either a plus (+) or a minus (-), followed by the integer value.

int mySignedInteger = -5;

To declare an unsigned integer, use the uint keyword followed by the integer value.

uint myUnsignedInteger = 5;

## Subtraction of Signed Integer Numbers

To subtract two signed integer numbers, find the difference between their absolute values, and then subtract the smaller number from the larger number.

## Multiplication and Division of Signed Integer Numbers

When multiplying or dividing signed integer numbers, the usual rules for arithmetic apply. That means that the signs of the numbers are taken into account in the calculation.

For example, if you are multiplying two negative numbers, the result will be negative. And if you are dividing two positive numbers, the result will be positive.

## The Properties of Integers

Integers are whole numbers that can be positive or negative. The number zero is also an integer.

Integers can be written in standard form, which is a number followed by a negative sign or positive sign if it is negative or positive, respectively. For example, the integer −15 can be written as −15, 15, and +15.

Integers can be added and subtracted. For example, the integers −5 and +3 can be added to get the integer 8. The integer −5 can be subtracted from the integer +7 to get the integer 2.

Integers can be multiplied and divided. For example, the integer −5 can be multiplied by the integer 3 to get the integer −15. The integer 2 can be divided by the integer 1 to get the integer 2.

## about Integers

Integers are whole numbers and their opposites. Integers can be positive, negative, or zero.

Integer Worksheet – Definition Representing Rules and Properties.