How Fraction and Decimals are the same

” What are you learning at School these days?” I recently asked some 4th graders..”Oh we just finished fractions and are now doing Decimals..” They told me..” Well do you know that fractions and decimals are the same thing” I poked a little just to check whether they are being given the conceptual knowledge.. “How can they be the same thingy?” One of the 4th grader piped up..”They are both different things really? Are you guys sure about it? Ok tell me how are these different?” “Welllll..they just are..” ” but how ?” I persisted..” Ok why don’t you tell us how these are the same?” They finally asked.

This was an opportunity I was waiting for.. I asked them ” Do you know that in greek DECA means 10..so if we talk about a Decade it means 10 years or if you have heard of the Decathlon in Olympics Decathlon is the combination of 10 events..I am sure you know that our number system is based on 10’s. i.e if we have to write 256 you can write it as 200+50+6?” ” Yes of course” They said. ” Do you know number 10 plays an important part in the numbers which are less than 10?” I said. ” How ?” They asked me immediately. ” Ok , lets take an example…Ussain Bolt holds the world record of 100 meters race which he completed in 9.58 seconds in 2009. here if you see we have 9 whole seconds and then there is a POINT which we call as decimal and then we have 58 after the decimal which is actually part of the whole after the decimal point the first number that comes is 1/10th of a number or we can write it as 0.1. The next number is 1/100th of a number which we can write as 0.01. Lets see what happens when we divide lets say 200 by 10

200/10 = 20 We can see once divided the digit has moved to 10’s place

20/10 = 2 – here the digit has moved to the ones place

2/10 = 0.2 – The digit has become 2parts of 10’s and has moved to the 1/10th position

0.2/10= 0.02 – The digit has become 2 parts of hundred or 2/100th

0.02/10 =0.002 -The digit has become 2 parts of 1000 or 2/1000th part

“Did you notice that each time we divide the number by 10 the digit shifted one place to the right” I asked..” Yes its like magic..it slides almost..”

” So now If we go back to Ussain Bolt we understand that 9.58 is actually 9 full seconds and 58th part of the hundred so we can also write 0.58 as 58/100 or if we have to expand and write the same we can write it as

0.5+0.08 = 0.58. So if you notice the first part is 5 parts of 10 and the second part is 8 parts of 100…

“No one told us like this ..this is really simple..so if my teacher gives me 0.25 it will actually me 25 parts of 100, wow.. that means 1/4..”one of them who was faster with calculations said..”Yes it means exactly that.. ”

I was satisfied that conceptually they understood the concept..I made a mental note of teaching them the relation between Ratio, Proportion, Fraction and Percentage next time

Do let us know whether you liked this blog and found this helpful..

Finding Instant Sum and Mean using a calendar

I have been thinking of writing a blog on this for a long time..but then having a set of twin boys and my own activities has somehow come in the way or simply put I have been slightly lazy. However today as a New Year Resolution I have decided to start writing again regularly. Seems like a great achievable idea at this point of time..unless I decide to become lazy again.

Now lets see if things that we use daily can teach us some math..

Math is a fantastic and we can continue to learn it from the everyday things if we are observant enough

Do leave a comment or write to us on a2yacademy@outlook.com and tell us how you liked the article..We will continue to write on other mathematical topics every week. Keep following us here..

Think Differently- Tricks for Addition

While teaching the double digit addition with carryover to my twin boys I was reminded of the method that one of our teachers had taught us in school to make Math fun and to take away the fear of math from our minds. The addition can be quite daunting for children when the numbers are written in a row. Try this method and see how easy it becomes for children to solve the addition problems with bigger numbers

We want to teach children math in such a way that they fall in love with it and should be able to think differently while trying to solve the problems that they find complicated..

Do try this method with kids and let us know the results..Let us also know the areas where the children might need some help or want to make it interesting we will be happy to write about it.  Do leave your comments here or write to us on a2yacademy@outlook.com

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Enjoy reading new Math tricks every week..happy weekend

Learning how to calculate the square root of imperfect square

I have been thinking about writing about the square root shortcut for finding the square root of the imperfect square ever since I wrote the earlier one about finding the square root of a perfect square. Incase you have not seen my earlier post then please do check the same by clicking on the link http://a2yacademy.com/2018/05/09/finding-the-square-of-any-number-an-easy-way/  

We would love to hear from you. These tricks are meant entirely from the competitive exams perspective.

Let us know the area you would like us to write on and we will be happy to..do write to us on a2yacademy@outlook.com Do leave a comment if you like this article We would love to hear from you..

We will be taking up another interesting topic from our calendar series next week… Do keep on following us…

Creating Magic Squares

Being a mother is a difficult job and has no job description as well. I love playing math games with my kids and their best friend who loves these small puzzles. As they enjoy it so much I though why not explore the area of magic squares while I am teaching these 7 years old champions addition.

Can you make few magic squares from other combinations of dates from the calendar? Leave your responses here..

We would love to hear from you. Do leave a comment or write to us on a2yacademy@outlook.com. We would also like to know the topics that you would like us to cover leave a response so that we can write about what you would really want to read on this forum..

 

Solving the Cross Puzzle using Calendar

In my last post I had shown how we can use the calendar to make number patterns a fun exercise for children. In this article we will go a bit ahead and learn how we can use the calendar to find and solve cross puzzle patterns. I had a lot of fun teaching this to my children hope that others will also find it useful.

Let us know whether you found this helpful.Let us also know what you would like to see on this blog and we will be happy to incorporate those topics. Do leave a comment or write to us. Our mail id is a2yacademy@outlook.com.

Math patterns with Calendar

I was recently watching a youtube video of Dr. Arvind Gupta ( to those who don’t know him..he has done a phenomenal amount of work in the area of science specially for children) and in the video I saw him using the calendar to show how the mathematical patterns can be found in the calendar and how an everyday thing like simple calendar can be made exciting to understand the complicated math problems. I tried to find a few patterns and I am giving few of the things that I found out. I found it very interesting and I hope that you will too.
in my next article I will show how you can make star puzzles, cross puzzles, teach finding the average of the number and make magic squares…

Incase you want to read anything specific on our blog do write to us on our mail id  a2yacademy@outlook.com or leave a comment below. We would like to hear from you..

Lets Divide without actually dividing – Few tricks

r nesrAh..How is that possible Mama? My 7 year old son asked me as he read the heading of my new blogpost.. He loves these problems of division and multiplication etc  and knows that as he grows older I will be teaching him all about it( though not yet ready for the competition I have been teaching my sons about multiplication and division through play method, not with the paper or pencil yet.. For example I give one of them 10 sticks and will ask him to distribute it to 5 of his friends so that each one has the equal number of sticks and then I normally ask if they have to take it back and make 10 sticks then to how many friends do they have to go to..they are slowly getting wiser to my tricks though). However coming to the point of what I have written as a title..sounds funny but I assure you its not..

Lets see how we can do it.. Read on to find how we can simplify the division problems

In our next post we will write about more methods of doing the division in easy way..Write to us on a2yacademy@outlook.com if you want us to write on something specific

Multiplication of the 4 digit number- easy way

We had in our earlier post ( http://a2yacademy.com/2018/06/10/multiplication-of-any-3-digit-number/) had promised that we will be writing about how to expand the same method and do the multiplication of a 4 digit number with a 4 digit number. . Remember we will have 7 patterns in this calculation. Think it as if you are putting numbers in a box and then make the combinations of numbers straight and crisscross. See the slides below to understand how the calculations are to be done

Now here is the challenge to the readers of this post..can you expand this to do multiplication of the 5 or 6 digit number? Do send in your answer to us..in our next post we will start with the Division problems…

Let us know what you would like to see on our blog. Write to us on  a2yacademy@outlook.com

Multiplication of any 3 digit number

As I promised in my last post I am today going to show the method that helps in multiplying any 3 digit number. This method is purely to help children do faster calculations in the competitive examinations where you need less than a minute to solve the problem. It appears difficult but once you get the hang of it,  it takes only seconds to arrive at the answer..Check the below slides to understand the pattern of multiplication and then you can try on your own. Remember that a 3 digit number we need to calculate till the 5th place. Check the patterns and the calculations in the below attached slides


We request you to try multiplication of few numbers and let us know your feedback. Write to us @ a2yacademy@outlook.com

We will be writing next about 4 and 5 digit multiplications..keep reading our blogs for more such calculation tricks..