Integers and Its Basics

Integers and it's Basics

All About Integers; At least, the Basics.

Integers

The collection of whole numbers with negative and positive sign together with 0 is called integer. They include Positive Integers (+1 and so on)

and

Negative Integers (-1 and so on)

Positive Integers

• Positive Integers are Whole Numbers that come after 0 like +1, +2, +3 are called Positive Integers.

• It is denoted by the Plus symbol (+).

Negative Integers

• Negative Integers are Numbers that come before 0 like -1, -2, -3 are called Negative Integers.

• They are denoted by the Minus Symbol (-).

Zero and its Responsibility

• Zero is an Important Number as it is in the center of all the Integers.

• It is neither a Positive Integer nor a Negative Integer.

Multiple Choice

Let's have a Small quiz:

1. What is an Integer?

• Integers are Whole Numbers that Have a Positive Sign and a Negative Sign With 0 as well.

• Integers are Numbers that have fractions and decimals.

Multiple Select

2. What is Zero?

• Zero is a number that has no importance in Integers.

• Zero is a number that doesn't fall under the Negative column and the Positive Column.

• Zero is greater than all Positive Numbers.

• Zero is a Negative integer.

Absolute Value Of Integers.

Now, we will see what Absolute Values Of Integers are.

Absolute Values Of Integers

• They are the Face Value of Every Integer.

• The Absolute Value of (+2) is 2.

• The Absolute Value of (-2) is 2.

• The Absolute Value of 0 is 0 as it doesn't have an opposite.

• The Absolute Value is denoted by the symbol | (-2) |

• To be clear, it is shown with a vertical line | (+5) |.

Multiple Choice

Let's find out what you learnt about Absolute Values.

1. The Absolute Value of (-136) is:

• (-136)

• | +136 |

• | 136 |

Multiple Choice

2. The Absolute Value of (0) is:

• | -0 |

• | +0 |

• | 0 |

Properties of Addition in Integers

Let's learn about the Properties of Addition.

Rule 1:

• When the two Addends of the Problem are Positive Integers, they will always be a Positive Integer.

• For Example, (+2) + (+3) = (+5) (It is a Positive Integer.)

Rule 2:

• When the two Addends of the Problem are Negative Integers, they will always be a Negative Integer.

• For Example, (-4) + (-6) = (-10) (It is a Negative Integer.)

Rule 3:

• When the two Addends of the Problem are Both Positive and Negative Integers, The sum will take place like this:

• 1. (-16) + (+20)

• We take the absolute value of these numbers and subtract them.

• = 20 - 16 = 4

• So we have 4.

• Then we find the Integer of the Greater Number and we insert it to the difference obtained before.

• Thus, we get the answer (+4).

Additive Inverse

Additive Inverse means the Exact Opposite of the Integer.

The Additive Inverse of (+4) is (-4).

The Additive Inverse of (-6) is (+6).

Multiple Choice

Answer:

1. (+40) + (+40) =

• | 40 |

• (+80)

• (-80)

• None Of The Above

Multiple Choice

Answer the Question.

2. (-15) + (-30) =

• (-45)

• | -45 |

• (+45)

• | 45 | because when we get the sum, we get the absolute value = | 45 |

Multiple Choice

3. Additive Identity Of (+46373) is:

• | 46373 |

• (+46373)

• (-46373)

• 0

We hope you Learnt about Integers!

Thank you for Having this Course!