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# Integers, power , roots

Hi Everyone ,  this is the series for the IGCSE class 7 and we are using Cambridge Checkpoint resources as our reference. Seeing the current scenario , it is  important that students don’t loose out in their studies , so this is my attempt to help you in your Maths studies . I will also be publishing a  practice worksheet along with the video. Do reach out to me with your questions and any help you require and I will be happy to help you.

Let us get started with out first topic ” Integers , power and roots “.

We have heard of Whole numbers  and Natural numbers . Natural numbers start with 1 and it goes on till infinity . On the other hand Whole numbers start with 0 . If I want to represent both of them , we can write as

N = { 1 , 2 , 3 , 4 , 5 , ………………………….. ∝ }

W = { 0 , 1 , 2 , 3 , 4 , 5 , …………………….  ∝ }

Integers are whole numbers . But they can be both positive or negative . In fact Zero is also an integer.

It means integers can be written as

I  = { ∝ , ………….. – 4 , – 3 , – 2 , – 1 , 0 , 1 , 2 , 3 , ……………………∝}

Now lets see how we do arithmetic operations with Integers.

Always remember two numbers with the same sign will be added i.e.

2  +  4  =  6

Similarly

-2 +  ( – 4 )   =  – 6

But what happens when two numbers have opposite sign , it means the resultant number will have the same sign as the greatest number . Hence

4 + ( – 2)  = 4 -2 = 2

But in case of  2 + ( – 4) = 2 – 4 = -2

Also the Rules of multiplication are as follows :

This means two numbers with like  signs when multiplied will be positive while when two numbers with unlike signs are multiplied it will be negative.

This rule stands true for division also  i.e. when two positive numbers are divided by each other it is positive and same stands true for two negative numbers .

Watch this video to understand more about integers and how arithmetic operations can be done on integers . I will also be uploading a practice worksheet on integers in the comment section on youtube . Do reach out if you have any questions / suggestions.

Have fun learning ! Stay safe ! 