Math tricks to impress your friends


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One thing that fascinates me is performing mental math. Being able to quickly perform additions, subtraction, multiplications etc is a good way to impress your friends. The problem is, I’m not a math genius, and I don’t know much behind simple arithmetic.If you’re anything like me, but you’d still like to learn some basic math tricks, I hope you’ll find this list useful.


Simple tricks
Let’s say that you want to find the product of 36 and 11. One way to find it would be to multiply 36 by 10 and then add 36 on the result. There is, however, a simple trick that’ll do the job for any two digits number. To find out the result, write the first digit followed by the addition of the first and second digit, followed by the second digit.
Example: 
What happens if the sum of the two numbers is bigger than 9? In this case you add 1 to the first number, followed by the last digit of the addition of the two numbers, and then again you add the second number

What happens if the sum of the two numbers is bigger than 9? In this case you add 1 to the first number, followed by the last digit of the addition of the two numbers, and then again you add the second number 
Calculating the square of a number below 100 is extremely simple. If you want to find the square of 25 for example, you simply have to take the first digit (2), multiply it for the next higher number (3), and then add 25 to the result.  
Let’s say that you want to multiply 42 and 48 together. Notice that they both start with 4, and that the sum of their second digit is 10. In this case there’s a simple rule that you can use to find their product. Simply multiply the first digit (4) for the next higher number (5) and then append the product of their second digits.  
Note that if the product of the second digits is below ten, you have to add a 0 in front of it.

Note that if the product of the second digits is below ten, you have to add a 0 in front of it.
To multiply by 9, simply multiply by 10 and then subtract the number itself.
  • To find out the 15% of a number, divide it by 10 and the add half of it.
  • To find out the 20% of a number, divide it by 10 and multiply the result by two.
  • To find out the 5% of a number, divide it by 10 and the divide it by two.


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Addition

When we were at school, we have been taught how to sum two or more numbers together by using the right to left approach. With this method, you first sum the decimal part of the number, then you move to the hundreds and so on. This works good on paper, but it’s a pain when you’re doing mental calculations. Fortunately, the solution is very easy.
Instead of using a right to left approach, we can start from the left and move to the right. Take the following example: 
Usually, you would first sum up 4 to 45, and then and 30 to the result. But by using the left to right approach, you first sum up 30 to 45, and then you add 4 to the result. Although this example is very simple, you’ll see the advantages of this method as you start to use it.
If you’re working with three digits numbers, the process is the same.

Usually, you would first sum up 4 to 45, and then and 30 to the result. But by using the left to right approach, you first sum up 30 to 45, and then you add 4 to the result. Although this example is very simple, you’ll see the advantages of this method as you start to use it.
If you’re working with three digits numbers, the process is the same. 
This example is a bit more complicated than the previous one, yet it’s very easy to solve using the left to right approach. You first start by adding 600 to 459, which results in 1059. Now the problem is simplified to 1049 + 37. You simplify it even further by adding 30 to 1049, and then you finally add 7 to the result.

This example is a bit more complicated than the previous one, yet it’s very easy to solve using the left to right approach. You first start by adding 600 to 459, which results in 1059. Now the problem is simplified to 1049 + 37. You simplify it even further by adding 30 to 1049, and then you finally add 7 to the result.

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Subtraction
Like with addition, you can use the left to right approach for subtracting to numbers together. This time, however, it may feel uncomfortable to keep track of borrowings (a borrowing occurs when you subtract a number to a bigger one, like 16 – 9). Let’s see an example of this. 
In this case, you first start by subtracting 10 to 64, resulting in 54, and now you only have to subtract 7 to 54. You can, however, subtract 20 to 64 and add 3 to the result. This way you don’t have to worry about borrowings.

In this case, you first start by subtracting 10 to 64, resulting in 54, and now you only have to subtract 7 to 54. You can, however, subtract 20 to 64 and add 3 to the result. This way you don’t have to worry about borrowings.
There is a way to easily calculate 3 or 4 digits subtractions very quickly in your head. This technique makes use of complements. For example. let’s say that you’re facing the following problem: 
Instead of following the standard left to right approach, you could solve this problem by subtracting 400 to 674 and then add 42 back to the result. 42 is the difference from 100 and 58. A good question is: how do you find 42?

Instead of following the standard left to right approach, you could solve this problem by subtracting 400 to 674 and then add 42 back to the result. 42 is the difference from 100 and 58. A good question is: how do you find 42? 
Note that there’s a simple pattern for calculating the second number. In particular, the sum of the first digits always sum up to 9, and the sum of the second digits always sum up to 10. The only exception is when the number ends with 0, which is simpler.
You can use this technique to solve any subtraction very easily.

Note that there’s a simple pattern for calculating the second number. In particular, the sum of the first digits always sum up to 9, and the sum of the second digits always sum up to 10. The only exception is when the number ends with 0, which is simpler.
You can use this technique to solve any subtraction very easily.

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Multiplication
In order to solve simple multiplications, it’s helps a lot being comfortable with the multiplication table for numbers below 10.
As you may have already guessed, we’re going to use the left to right approach to solve simple multiplication very easily. Take the following example: 
We can reduce it by first calculating 30 × 7 (which is like 3 × 7 plus a 0) and then add 6 × 7 on the result.

We can reduce it by first calculating 30 × 7 (which is like 3 × 7 plus a 0) and then add 6 × 7 on the result. 
This approach can be used for even larger numbers. Note that you can also round up instead of rounding down:

This approach can be used for even larger numbers. Note that you can also round up instead of rounding down: 

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User contributions
the following are some math tricks contributed by the users.
Contributed by Scott.
To multiply 5 simply cut the # in half then multiply by 10.
eg. 17*5
1/2 of 17 = 8.5
8.5 * 10 = 85
Contributed by Tom Peterson
Use this trick when multiplying numbers with multiple digits
let {a;b;c;d…} represent digits of a number
ab x cd = (axc), (axd + bxc), (bxd)
the commas represent separation of digits, so “axc” represents the digit in the hundreds place, etc.
eg) 23 × 14 = (2×1), (2×4 + 3×1), (3×4)
8 + 3
= 2,11,12
in the event of double digits in the same digit place, the number in the digit’s place (starting with the unit’s place) carries the ten’s place digit of the digit place to the following digit place [what a mouthful!]
like in this instance
= 2, 11, 12 = 2, 12, 2 = 3, 2, 2
the answer is 322
the theory behind this is the “distribution property” of numbers commonly used with equations like (x + 1)(x + 4)=0 to make x^2 + 5x + 4=0
the same principles can be applied with 3 digit numbers as well
abc x def = (axd),(axe+bxd),(axf+bxe+cxd),(bxf+cxe),(cxf)
for multiplying 2 digit with 3 digit numbers, just use the 3×3 digits method but use a zero in the hundreds place of the 2 digit number
Vedic mathematics provides lots of short cuts like shown here.
e.g.-
If you need to square a number close to 10^n, you can do so easily. Like if you want 92^2, lets take its answer as abcd.
Now, 92 is 8 before 100, so subtract 8 from 92, i.e. you get ab as 84. For finding cd, square 8 i.e. 64.
Hence the square of 92 comes as 8464.
For square of 87, let the answer is abcd again. Here 87 is 13 short of 100, so subtract 13 from 87 You get 74 as ab. For finding cd, square 13 i.e. 169. Since cd is only of two digits, add this extra 1 to ab.
So the answer becomes 7569.
To square 2 digit numbers ending with ‘5’ eg 75 × 75
1. The answer will end with ‘25’
2. Take the first digit ‘7’ multiply by the number after ‘7’ => 7 × 8 = 56
75 × 75 = 5625
Test it out with 95 × 95.
Did you get 8125?
take any number and find out how much to add to get it to the nearest tens subract and add that number to the orignal number multiply add the square
example:
(999+1) (999-1) + (1^2)
(998) (1000) + 1
999^2 + 998001
A math trick I noticed when I was young. If you are squaring a number it is always equal to the total of the number times 2 subtract one of the previous squared number. This is helpful if you dont want to write it out. For instance most people know that 10×10=100 or 11×11=121 even 12×12=144 so lets say you dont know 13×13. Its equal to (13×2)-1(plus the previous squared number which was 12×12)144=169
Suppose AB is the number,
Then arrange the number as follows,
A*A|2*A*B|B*B
( if A*A or A*B is one digit add 0 prior to that – eg: 4 should be written as 04, 5 should be 05 etc..)
Take a number : 35
09|30|25 ( 3*3 | double of 3*5 | 5*5 )
From right to left, keep the right most number as it is and add the number coming both side of | symbol.
ie. Keep 5 as it is, add 2+0, add 3+9
1225
Take another example 43
16|24|09 = 1849
Want more tricks?
All these tricks I learned are from the fantastic book secrets of mental math. This is one of the few books (probably the only one) that I would carry with me all the time. It’s extremely cool to be able to perform mental calculations very quickly, and you can get around it without being a nerd.
Here’s a list of what you can expect to learn from the book:
  • Additions and subtractions.
  • Basic and advanced multiplications.
  • Divisions.
  • Guessing a number (when it’s good enough).
  • Pencil and paper math.
  • How to memorize numbers.
  • Many other tricks that will impress your friends.


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Conclusion


How to multiply any two digits number by 11


Square any two digits number that ends with 5


Multiply any two digits numbers with the same first digit and the second digit that sums up to 10


Multiply by 9


Quickly find percentages


Left to right approach



Using complements to simplify subtractions even more




Multiply by 5


Multiply numbers with multiple digits


Square a number close to 10^2


Square two digits ending with 5


Squaring any number


Squaring a number


Squaring two digit numbers



If you know any other math trick, please share them on the comments.


What is PRISM

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Perhaps while you’ve been outraged at the Xbox One’s newly revealed always-on and used games policies, you missed out on the news that the National Security Agency has been spying on everyone and everything since 2007. Surprise! Dubbed PRISM, the spy-on-everything program is a collaboration between the NSA, FBI, and just about every major tech company you love, hate, or love to hate.


The original program’s ambition was to monitor and collect data from foreign sources that might pass through United States networks for one reason or another — not the worst-sounding goal. However, as leaked reports regarding the program revealed, the agency had access to just about any service the consumer public would use in these modern times. The program has access to a wide array of information from Apple, Microsoft, Google, Facebook, Yahoo, YouTube, Skype, AOL, and PalTalk (which is a video chat room service). The information includes everything you do on a daily basis, from sending emails and participating in chats, to monitoring stored videos and images, to your social networking information and basic electronic activity, such as a logging into and out of a network.


The NSA getting access to these companies’ servers isn’t entirely convoluted or complex. According to the reports, Apple, for example, will be hit with orders from the Director of National Intelligence which demands access to its servers. Apple will comply, and the data from the servers goes through the FBI, which then hands the culled information over to the NSA.

The only thing thing standing between the NSA and going through all of your information, is that an NSA agent has to be 51% sure you’re foreign.


If you’re a reasonably seasoned user of modern technology, then there’s likely always a little voice in the back of your head that reminds you not to do sketchy things online, because someone, somewhere can see what you did. We’re so used to hearing that, for example, Facebook has access to everything on our computer if it wants, or if you uploaded a photo online a decade ago and quickly removed it, someone can still find it. So, we just kind of shrug and not think about it, and assume that Facebook — or the NSA in this case — has better things to do than read the GChat conversations we’ve had with coworkers regarding who’s cute in the office.


If you don’t want to shrug and ignore PRISM, but also don’t want to have it suck up all of your time because you have better things to do than worry about a government program you likely can’t do much about, the Electronic Frontier Foundation made a very handy timeline just for you. The timeline doesn’t just cover PRISM, but is a timeline for domestic spying, dating as far back as 1791 when the Bill of Rights went into effect. The timeline quickly jumps to the time of the internet from there, because domestic spying — along with just about everything else — was made much easier with the advent of the internet.


The EFF’s timeline is well-organized, and does allow the option for you to miss an entire day of work reading up on the NSA if you choose to click all of the related links. If not, you can get caught up on domestic spying rather easily, and go back to posting both your sensitive and superfluous information on the internet for the government to see.

Funny lesson for life


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Lesson 1: Naked Wife

A man is getting into the shower just as his wife is finishing up her shower when the doorbell rings. The wife quickly wraps herself in a towel and runs downstairs. When she opens the door, there stands Bob, the next door neighbor. Before she says a word, Bob says, “I’ll give you $800 to drop that towel.” After thinking for a moment, the woman drops her towel and stands naked in front of Bob.


After a few seconds, Bob hands her $800 dollars and leaves. The woman wraps back up in the towel and goes back upstairs. When she gets to the bathroom, her husband asks,…

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“Who was that?” “It was Bob the next door neighbor,” she replies. “Great!” the husband says, “Did he say anything about the $800 he owes me?”


Moral of the story:
If you share critical information pertaining to credit and risk with your shareholders in time, you may be in a position to prevent avoidable exposure.


Lesson 2

A sales rep, an administration clerk, and the manager are walking to lunch when they find an antique oil lamp. They rub it and a Genie comes out. The Genie says, “I’ll give each of you just one wish” “Me first! Me first!” says the administration clerk. “I want to be in the Bahamas, driving a speedboat, without a care in the world.” Poof! She’s gone. “Me next! Me next!” says the sales rep. “I want to be in Hawaii,relaxing on the beach with my personal masseuse, an endless supply of Pina Coladas and the love of my life.” Poof! He’s gone. “OK, you’re up,” the Genie says to the manager. The manager says, “I want those two back in the office after lunch.”

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Moral of the story: Always let your boss have the first say.


Lesson 3


A priest offered a lift to a Nun. She got in and crossed her legs, forcing her gown to reveal a leg. The priest nearly had an accident. After controlling the car, he stealthily slid his hand up her leg. The nun said,”Father, remember Psalm 129?” The priest removed his hand. But,changing gears, he let his hand slide up her leg again. The nun once again said, “Father, remember Psalm 129?” The priest apologized “Sorry sister but the flesh is weak.” Arriving at the convent, the nun went on her way. On his arrival at the church, the priest rushed to look up Psalm 129. It said, “Go forth and seek, further up, you will find glory.”


Moral of the story: If you are not well informed in your job, you might miss a great opportunity.

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Lesson 4

A crow was sitting on a tree, doing nothing all day. A rabbit asked him,”Can I also sit like you and do nothing all day long?” The crow answered: “Sure, why not.” So, the rabbit sat on the ground below the crow, and rested.


A fox jumped on the rabbit and ate it.


Moral of the story: To be sitting and doing nothing, you must be sitting very high up.

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Lesson 5: Power of Charisma

A turkey was chatting with a bull “I would love to be able to get to the top of that tree,” sighed the turkey, but I haven’t got the energy.” “Well, why don’t you nibble on my droppings?” replied the bull. “They’re packed with nutrients.” The turkey pecked at a lump of dung and found that it gave him enough strength to reach the lowest branch of the tree. The next day, after eating some more dung, he reached the second branch. Finally after a fourth night, there he was proudly perched at the top of the tree. Soon he was spotted by a farmer, who shot the turkey out of the tree.


Moral of the story: Bullshit might get you to the top, but it wont keep you there.
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Lesson 6


A little bird was flying south for the winter. It was so cold the bird froze and fell to the ground into a large field. While he was lying there, a cow came by and dropped some dung on him. As the frozen bird lay there in the pile of cow dung, he began to realize how warm he was. The dung was actually thawing him out! He lay there all warm and happy, and soon began to sing for joy. A passing cat heard the bird singing and came to investigate. Following the sound, the cat discovered the bird under the pile of cow dung, and promptly dug him out and ate him.


Moral of the story:
1. Not everyone who shits on you is your enemy
2. Not everyone who gets you out of shit is your friend
3. And when you’re in deep shit, it’s best to keep your mouth shut!

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Google has flagged 'IDM integration' as malicious! I have solved this:

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IDM extension is getting flagged as malicious by Google.


Temp Fix : 

1) Go to setting and disable "Enable phishing and malware protection", then try to install the crx again. It   works for me (Though Not recommended) .

2) Alternate way to bypass this restriction.

- Go to "Internet Download Manager" folder in the "Program Files".
- Look for file IDMGCExt.crx (This is the IDM integration extension for Chrome)
- Using 7Zip or Winzip or Winrar extract the contents of the file to a folder on desktop (or where you          can  write data, since in the program files you need permissions to write)
- Copy the folder with the files extracted to the folder of IDM in Program Files
- Open extensions page on Google Chrome and enable the developer mode.
- Click on button "Load unpacked extension" (or something like that), navigate to the folder where you   extracted the files and choose it. Done. IDM extension will be back.

BENEFITS OF LEMON WATER

WHY LEMONS?

Lemons are packed like a clown car with nutrients, including vitamin C, B-complex vitamins, calcium, iron, magnesium, potassium, and fiber. (Fun fact: they contain more potassium than apples or grapes!)
Because of how hard lemon juice can be on the enamel of your teeth, it’s important to dilute it with water of any temperature (though lukewarm is recommended). Drink it first thing in the morning, and wait 15 to 30 minutes to have breakfast. This will help you fully receive the benefits of lemon water, which are listed below.

1. Gives your immune system a boost.

Vitamin C is like our immune system’s jumper cables, and lemon juice is full of it. The level of vitamin C in your system is one of the first things to plummet when you’re stressed, which is why experts recommended popping extra vitamin C during especially stressful days.

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2. Excellent source of potassium.

As already mentioned, lemons are high in potassium, which is good for heart health, as well as brain and nerve function.

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3. Aids digestion.

Lemon juice not only encourages healthy digestion by loosening toxins in your digestive tract, it helps to relieve symptoms of indigestion such as heartburn, burping, and bloating.

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4. Cleanses your system.

It helps flush out the toxins in your body by enhancing enzyme function, stimulating your liver.

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5. Freshens your breath.

It also helps relieve toothaches and gingivitis (say wha?). Because the citric acid can erode tooth enamel, either hold off on brushing your teeth after drinking lemon water or brush your teeth before drinking it.

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6. Keeps your skin blemish-free.

The antioxidants in lemon juice help to not only decrease blemishes, but wrinkles too! It can also be applied to scars and age spots to reduce their appearance, and because it’s detoxifying your blood, it will maintain your skin’s radiance.

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7. Helps you lose weight.

Lemons contain pectin fiber, which assists in fighting hunger cravings.

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8. Reduces inflammation.

If you drink lemon water on a regular basis, it will decrease the acidity in your body, which is where disease states occur. It removes uric acid in your joints, which is one of the main causes of inflammation.

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9. Gives you an energy boost.

Lemon juice provides your body with energy when it enters your digestive tract, and it also helps reduce anxiety and depression. (Even the scent of lemons has a calming effect on your nervous system!)

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10. Helps to cut out caffeine.

I didn’t believe this until I tried it, but replacing my morning coffee with a cup of hot lemon water has really done wonders! I feel refreshed, and no longer have to deal with that pesky afternoon crash. Plus, my nerves are thankful.

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11. Helps fight viral infections.

Warm lemon water is the most effective way to diminish viral infections and their subsequent sore throats. Plus, with the lemon juice also boosting your immune system, you’ll simultaneously fight off the infection completely.

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HOW MUCH?

For those who weigh less than 150 pounds, squeeze half a lemon’s worth of juice into a glass of water. If over 150 pounds, use an entire lemon’s juice. You can of course dilute the lemon juice more, depending on your personal taste.
Not only are the benefits of lemon water endless, it’s one of the most substantial yet simple changes you can make for your health.

How t download whatsapp for laptop or pc

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Are you the one who don't have a Smart phone? and still want to use whatsapp?
Want to run android apps and play android games on pc?

We have Solution for all your Questions:-

Then you are at the right place now you can use whats app on your PC for free.whats app helps you to connect with friends family.

Yes its simple you need to install bluestacks offline installer to run whats app on PC.

Install Whatsapp on your PC:
  1. Go here and Download bluestacks
  2. Now run the downloaded application.(click here for how to install bluestacks)
  3. Now you have installed Bluestacks Successully.You can skip the below step.
  4. If you are Getting Some Error as below while installing
  5. Error: "The application failed to initialized properly (0xc0000135) . Click on ok tp terminate the application",then .NET framework is missing on your PC. Go to End of article to get .NET framework Note: Get .NET Framework only if you are getting Error 
  6. Now open the application you can find the screen capture just like below picture
  7. Now Click on Search icon and search for Whatsapp
  8. Now choose the whatsapp messenger form any market .its your wish.
  9. Just click and Download whatsapp after selecting from any app store
  10. You can find downloaded app in My Apps.
  11. Now click on Whatsapp fill the details and start using it.
  12. If you want to uninstall any app just hold the app and click cross button.

If you Still have any problem feel free to comment below.I will help you :)