Lemon grass..

Hi,

I went to mumbai recently and was having tea at a road side shop and ordered for special tea.
that fellow was preparing tea and started adding ginger pieces which is quite normal.
And then I noticed him adding some grass and I was kind of surprised to see how can grass mix with tea.

My collegue said it is Lemon grass. (Nimma gaddi in telugu) and it adds a flavour to tea. And it really added taste indeed. Its was really nice.

Try adding some ginger and lemon grass when ever you get to find it. It is really nice!

Cheers!!

Here is another way to approximate squares.

Hi,

Some times we  need to an approximate range among which the square root of a number lies.
For that the conventional method is time consuming.

Here is an interesting way to find an approximate range of a square root.

For instance 4059. It does not look like a perfect square number, but let us see what is the nearest perfect square number to it.
4059
now divide 4059 as    40|59

the nearst perfect square to 40 is 36 which is 6^2

so put a six below 40 and for the 2 digits of 59 put a zero beside 6 which makes it 60

so 4059 is a number greater than 60^2 for sure now we can do 2 things.

Eiter follow approximation approach by checking 65^2 and 70^2.

Now 65^2 is 4225 and 70^2 is 4900. Ideally 4059 lies between 60^2 and 65^2 and from there we can very easily calculate the squares of 64,63,62,61(using 25-75 approach) on the fly and approximate to the extent required.

One more way is to divide 4059 with 60 which gives a number and now the nearest perfect square lies between these 2 numbers.

Hope this is useful.

Cheers!!

Here is a very good way to do approximations fast.

Hi,

We generally remember only a few convertions from fractions to percentages like 1/4 is 25% and
1/2 is 50 % like that. But in cases where we have to represent 45% in terms of percentages we put 45/100 and start simplifying.

Here is a very good way to make it simple with very little amount of data to remember.
With this we can easily convert percentages to fractions like,
How much is 3/17 (approximately) which is 17.4% and it takes no time.

How is this done?
Simple
3/17 is effectively 3*(1/17) now 1/17 value 5.8% and so 3/17 is 17.4.

How did you know that 1/17 is 5.8%? I have byhearted it!!

Here if we can byheart 1/2 to 1/20 then we can directly multiple with the values whatever we want,by this simplification needs very less steps.

In case any problem start like there is 45% profit we dont have to take number like 100 changed to 145 rather 17 changed to 20,which makes the simplifation easier.

Here is the list of all the fractions and its percentages from 1/2 to 1/20.

1/2  = 0.50 = 50%                                             1/11 = 0.09  = 9%
1/3  = 0.33 = 33%                                             1/12 = 0.083 =8.3%
1/4  = 0.25 =25%                                              1/13 = 0.076 =7.6%
1/5  =0.20  = 20%                                             1/14 =0.071 =7.1%
1/6  =0.16  =16%                                              1/15 =0.066 =6.6%
1/7  =0.14 =14%                                               1/16 =0.062 =6.2%
1/8  =0.12 =12%                                               1/17 =0.058 =5.8%
1/9  =0.11 =11%                                               1/18 =0.055 =5.5%
1/10 =0.10 =10%                                              1/19 =0.052 =5.2%
                                                                          1/20 =0.050 =5.0%

Cheers!

Calculating squares of numbers ending in 5.

How to calculate 95 square as 9025 just like that?
This is how you do it.

suppose a number ends with 5 and you want to calculate the square of a number,
we the truncate the number's last digit which is 5 and multiply the remaining part with the subsequent number and put a 25 at the end.

suppose you want to calculate 85^2

8*9 = 72.
now put 25 at the end 7225.
Its as simple as that!!

Cheers!!

The next part

hi,

Now for the next range of 75-125

In this case you take the number and 100.

Take 94 and 112 for instance.

94 -> 100-94 = -6

now add this -6 to 94 which give 88(1st 2 digits)
(-6)^2 = 36(last 2 digits)

hence 94^2 is 8836.(Check using calculator:))

Now for 112 the same process

112-100 = 12 add this to 112

112+12 =124

(12)^144 here 1 is the carry, so 112 ^ = 12544.

So this is how we can  calculate squares from 26-125 very easily.

Cheers!!

My 1st post!

Hi,

Since this is my 1st post, ill put something useful which is obviously not available everywhere.
How about Vedic mathematics?
We generally write competitive exams where we typically do lot of calculations so calculating squares is time consuming. Here is a technique to do it very easily. Once we master this, there is no need for pen and paper.
Pre requsite biheart upto 25^2 and we can calculate upto 125^2 very easily.

Between 25-75
x^2 =
step 1 : x -25  gives 1st 2 digits.
step 2: (50-x)^2 are last 2 digits.
since the number is greater than 25, (50-x)^2 is at max is 24^2 which we already bi-hearted

Take 37.

37-25 = 12 1st 2 digits
50 - 37 = (13)^2 = 169

Now we have to add this 1 as carry to 12 which makes it 13
Hence answer is 1369(Check this using a calculator if you are still in doubt)

Now 29^2
29 - 25 = 04
(50-29)^2 = (21)^2 = 441. 1st 4 is carry and hence 841.

Will give the details of 75-125 in my next post.

Cheers!