Multiplication tables from 16 to 19

Hi folks!

Hope you enjoyed reading the last post wherein the multiplication trick for the tables from 12 to 15 were mentioned. And just in case if you have missed it, pls do click on the below link to view it. As it will create a base for this post as well.

https://mathstablessimplified.blogspot.in/2016/04/maths-tables-simplified.html

Before getting into this blog very much, I did like to share a beautiful quote by Aravind Adiga, "In my family, as in most middle-class Indian families I knew when I was growing up, science and mathematics were held in awe", the of The White Tiger and the proud winner of 40th Man Booker Prize 2008.

So here we are all set to begin the next set of multiplication tables from 16 to 19.

Let's start with 16:

Multiplication table for 16

Method: As usual write down the equations for 16x1 and 16x10. And then, split the RHS into two columns: Tens and Unit. Start murmuring the table for six and pen down the unit digit from that to the units column of the table. It will look like 6, 2, 8, 4, 0, 6, 2, 8, 4, 0. Tens digit placing is a bit difficult in 16 as compared to other multiplication tables. So assuming you have already written 16x1 and 16x10, the sequence in the tens column will go like 3 and 4; then 6; 8 and 9; skip 10; 11 and 12; skip 13 and comes 14. Do check the flow in the chart below:

Tens and Unit place filling for 16

Hope you got it right. But never mind the coming multiplication tables are not as the above.

17 as below:

Multiplication table for 17

Method: Alright, I hope you've already noted 17x1 and 17x10. Split the RHS into tens and units column too. So now let us start to fill the units column one by one as did in the previous table. Murmuring the table for 7 and writing down the unit digit number into the units column, we'll have 7, 4, 1, 8, 5, 2, 9, 6, 3 and 0 filled in that column. The tens place numbers are relatively simpler, as these will come in the sequence of  odd and even numbers alternatively. Viz. odd: 1, 3, 5; even: 6, 8, 10; odd: 11, 13, 15, 17 and we're done! See the below chart for your understanding:

Tens and Unit place filling for 17

Coming on to 18 now:

Multiplication table for 18

Method: Once done with tens and units column along with 18x1 and 18x10, we'll fill up the unit column first. The units column will somewhat go in the flow as 8, 6, 4, 2, 0, 8, 6, 4, 2, 0 i.e. the even numbers in descending order starting from 8 up till 0 and repeating the same pattern again. Let's move on to the tens column now. It is more or less self-explanatory that there is a sequence of odd and even numbers. One to five rows of odd numbers from 1 to 9 and six to ten rows of even numbers 10 to 18, in ascending order.

Tens and Unit place filling for 18

Now comes the last and the easiest multiplication table in this post. As expected it's 19:

Multiplication table for 19

Method: Fairly simple and fun writing multiplication table. In the units column, start writing the numbers from 9 to 0 in descending form. Quiet easy right. And then in the tens column start writing all the odd digits from 1 to 20 in ascending order one below the other. And you are done with it.

Done and dusted.

Tens and Unit place filling for 19

As quoted by great scientist Albert Einstein, "Do not worry about your problems in mathematics, I can assure you mine are still greater." So it's not only you that is facing the challenges in mathematics, it's within everyone.

With these techniques, I hope everyone would be at least be able to write tables up to 20 without any glitches. And if otherwise, it can be easily done by practising it a few times. 

If you find the blog help full then please do Like, Share, Comment and Follow the blog.

Keep tuned for few new techniques. Till then stay happy, stay blessed!

Multiplication tables from 12 to 15

Agree with it or not but multiplication tables are one of the toughest things to remember in maths. Recollect your school memories, you would have gone sweating if at all the teacher asked you seven eights are....? That to all of a sudden. Huf! I'm sweating now too.

But never mind here in this blog, there are some cool techniques wherein learning tables would never be the same again. Just be with me.

For most of us, multiplication tables from 1 to 10 or rather 11 are somewhat easy to write and remember. But, the real problem starts from numbers from 12 and beyond. So, now we'll first focus to on the writing part of the tables i.e. how to pen down multiplication tables with ease and thereafter the learning aspect of it.

Alber Einstein once quoted,"Pure mathematics is, in its way, the poetry of logical ideas." Yes, we'll try and prove the same.

Right, so we'll straight away start with the multiplication table of 12:

Multiplication table for 12

Method:  Just observe the multiplication table for 12 for few seconds. Ok, now the easiest thing to remember is 12x1 & 12x10. No prize for guessing it right. Once you know it, pen it down as fast as you can. Now it is the time to fill everything between it.

One of the orthodox and full proof method is to add 12 to the previous number. That's what we were thought in our school days. But, I'm sure you are not on this blog to learn that. So, the smarter way of doing it to split the RHS (right-hand side) of the equation into two columns: Tens and Units. Now, start filling the units column first. Write down all the even numbers from 0-9 starting from 4 (assuming you have already written 12x1 and 12x10). It will turn out to be 4,6,8. Now you are at 12x5, so start from 0 and continue to write all the even numbers from there on i.e. 2,4,6,8. And you are done filling the units place.

Now, let us move on to tens place. It is fairly simple here. Start filling numbers from 2-10 (assuming you have already written 12x1 and 12x10) in the ascending skipping 5 where ever it is bound to come. And it's done!

Tens and Unit place filling 12

Wasn't it fairly simple and easy!


Let's do it for 13 now:

Multiplication Table for13

Method:  Once again write down 13x1 & 13x10 immediately. Now, the technique of splitting the RHS into Tens and Units column remains more or less the same. After doing so, quietly murmur the table of 3 in your mind and write down the numbers which come in the units place in the table of 3 into the units place of the table of 13 i.e 6, 9, 2, 5, 8, 1, 4, 7.

For tens places, the sequence from 1-10 goes like  1, 2, 3 skip 4; 5, 6, 7 skip 8; 9, 10, 11 skip 12.

And you are done with the multiplication of 13!

Tens and Units place filling for 13

Here comes 14:

Multiplication Table for 14

Method:  Write down 14x1 & 14x10. Split RHS into tens and units column. In units column, applying the same concept that of the table of 13, write down the number in the unit digit in the table of 4 into the units column for the table of 14 i.e. 8, 2, 6, 0, 4, 8, 2, 6. The numbers in the tens place follow pairing sequence of 1, 2; 4, 5; 7, 8 and 9; 11, 12. from 1 to 9 respectively.

Tens and Unit place filling for 14

Hope you are in tune with the process. Now it's the time for one of the simplest table in the slot from 12-19. Its 15 time:

Multiplication Table for 15

Method:  Write down 15x1 and 15x10 firstly. In the units column start filling 5 and 0 alternatively. The tens place will once again come in pairs: 3, 4; 6, 7; 9,10; 12, 13 from 12x2 to 12x9 respectively.

Tens and Unit place filling for 15

Woah! you are done now at least till 15 in more of an uncommon manner. But it does not matter until you are getting the multiplication right at the end of it. You can obviously cross check the same with our conventional way of multiplication.


That's all for now. Stay tuned for further tips and tricks. Till try for yourself the above methods and try to predict for other multiplications as well.

Thank you for reading. Stay happy, Stay blessed.


To view multiplication tables from 16 to 19, please click on the link below:
https://mathstablessimplified.blogspot.in/2016/05/multiplication-tables-from-16-to-19.html