Tag: Fast Calculation

Quicker Math: Adding large numbers

Quicker Math: Adding large numbers

Isn’t it amazing, if you can calculate faster in competitive exams or in daily life? In competitive exams you need to solve more number of problems in less time. So, people, nowadays running behind the coaching centers for shortcuts. But it is absolutely useless if you don’t have conceptual clarity. Here is the speed math rule for adding large numbers. Check other quicker math rules here.
Adding large numbers just in your head can be difficult. This method shows how to simplify this process by making all the numbers a multiple of 10. Here is an example:

644 + 238 = ?

While these numbers are hard to contend with, rounding them up will make them more manageable. So, 644 becomes 650 and 238 becomes 240.

Now, add 650 and 240 together. The total is 890. To find the answer to the original equation, it must be determined how much we added to the numbers to round them up.

650 – 644 = 6 and 240 – 238 = 2

Now, add 6 and 2 together for a total of 8

To find the answer to the original equation, 8 must be subtracted from the 890.

890 – 8 = 882

So the answer to 644 +238 is 882.

This is speed math trick 8. Please check other speed math tricks here.

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Write down your feedback on comments section below.

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Quicker Math: Multiply any two-digit number by 11

Quicker Math: Multiply two-digit number by 11

Isn’t it fantastic to be able to compute faster in competitive tests or in everyday life? You have to answer more questions in less time on competitive exams. People are increasingly scurrying behind coaching centers in search of shortcuts. But without conceptual clarity, it is all completely pointless. The quick math formula to multiply any two-digit integer by 11 is as follows. Check other quicker math rules here.

Rule: Multiply any two-digit number by 11

There is an easy trick for multiplying any two-digit number by 11. Here it is:

11 x 25

Take the original two-digit number and put a space between the digits. In this example, that number is 25.

2_5

Now add those two numbers together and put the result in the center:

2_(2 + 5)_5

2_7_5

The answer to 11 x 25 is 275.

This is quicker math trick 7. Please check other speed math tricks here.

If the numbers in the center add up to a number with two digits, insert the second number and add 1 to the first one. Here is an example for the equation 11 x 88

8_(8 +8)_8

(8 + 1)_6_8

9_6_8

There is the answer to 11 x 88 = 968

Are you ready for a brain game? Ok, that’s Equi Math for you. Click here to get the Android Game. This game will help in decision making in quick time. It is very easy at beginning and gets difficult on the higher levels. Try to reach as much higher level as possible. On game over, try again to improve your best. That way you will have quicker solving skills.

So, this was the rule to multiply any number by 11. Write down your feedback on comments section below. Also check the other speed math rules for faster calculations.

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Multiplying any number by 5 Quicker Math Rule

Quicker Math: Multiplying any number by 5

When multiplying the number 5 by an even number, there is a quick way to find the answer. This is quicker math trick 6. Please check other quicker math tricks here.

For example, 5 x 4 = ?

Step 1: Take the number being multiplied by 5 and cut it in half, this makes the number 4 become the number 2.

Step 2: Add a zero to the number to find the answer. In this case, the answer is 20.

so, 5 x 4 = 20

Another example, 5 x 824 = ?

Step 1: Take the number being multiplied by 5 and cut it in half, this makes the number 824 become the number 412.

Step 2: Add a zero to the number to find the answer. In this case, the answer is 4120.

so, 5 x 824 = 4120

When multiplying an odd number times 5, the formula is a bit different.

For instance, consider 5 x 3 = ?

Step 1: Subtract one from the number being multiplied by 5, in this instance the number 3 becomes the number 2.

Step 2: Now halve the number 2, which makes it the number 1. Make 5 the last digit. The number produced is 15, which is the answer.

5 x 3 = 15

Another example 5 x 713 = ?

Step 1: Subtract one from the number being multiplied by 5, in this instance the number 713 becomes the number 712.

Step 2: Now halve the number 712, which makes it the number 356. Make 5 the last digit. The number produced is 3565, which is the answer.

5 x 713 = 3565

Write down your feedback on comments section below.

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Quicker Math Multiplying a Number ending with 9

Quicker Math: Multiply a Number ends with 9

Isn’t it great, if you can calculate faster in competitive exams or in daily life? In competitive exams you need to solve more number of problems in less time. So, people , nowadays running behind the coaching centers for shortcuts. But it is absolutely useless if you don’t have conceptual clarity. Here is the speed math rule for multiplying a Number ending with 9. Check other quicker math rules here.

Rule for Multiplying a Number ending with 9

Multiply by 10 (append a ‘0’ after the multiplicand) and then multiply by one more than the tens digit of the multiplier (number ending in 9). After that, subtract the given number from the result.

For example, multiply 713 by 39.

First multiply 713 by 10 to get 7,130.

One more than the tens digit (3) of the multiplier is 4. Multiply 7,130 by 4 (using Short Cut doubling twice).

7,130 x 4 = 28,520

Now, subtract the given number from this finding to get the final answer.
28,520 – 713 = 27807 (Answer)

This is quicker math trick 5. Please check other quicker math tricks here.

Another Example: 24,653 × 79 =?

Multiply 24653 by 10 to get 246530.
Multiply 246530 by 8 to get (246530 x 8 =) 1972240.
Subtract the given number to get the answer (1972240 – 24653 =) 1947587.

This short cut can be applied to any number, no matter how many digits it has, so long as the unit’s digit is 9. Of course, as the number gets larger, multiplying the two numbers of the first step will become cumbersome unless a short cut can be used. However, most two- and three digit numbers ending in 9 can be readily squared, once a facility with the other short-cut methods has been achieved.

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So, this was the rule for multiplying a Number ending with 9. Write down your feedback on comments section below. Also check the other quicker math rules for faster calculations.

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Square of numbers consisting 1

Quicker Math: Square of numbers consisting 1

Isn’t it fantastic to be able to compute more quickly in everyday situations or on competitive exams? You have to answer more questions in less time on competitive exams. People are increasingly scurrying behind coaching centers in search of shortcuts. But without conceptual clarity, it is all completely pointless. This is the quick math formula for calculating the square of numbers consisting 1 only. Check other quicker math rules here.

To find square of numbers consisting 1’s only such as 11,111,1111 or 11111 and so on is very easy. You can calculate the correct result in a fraction of seconds. You just need to know the quicker math method for this calculation. Once you will know and understand the method you will be amazed. You can use this speed math technique in competitive exams and other necessary scenarios.

Rule

Like most of the other vedic math techniques, in this too we will calculate the result in two parts. And then we will concatenate the parts to get ultimate result.
To find square of numbers consisting 1’s only such as 11,111,1111,11111 and so on is very easy. You can calculate the correct result in a fraction of seconds. You just need to know the quicker math method for this calculation. Once you will know and understand the method you will be amazed. You can use this speed math technique in competitive exams and other necessary scenarios.

Like most of the other vedic math techniques, in this too we will calculate the result in two parts. And then we will concatenate the parts to get ultimate result.
For example to calculate square of 111, there are 3 ones in the given number. So the first part will be “123”. And the second part will start with (3-1)=2 and will reach 1 in reverse order i.e the second part is “21”. So the result is 12321.

Now we will take another example, (1111)2=?
There are 4 ones in the given number. So the first part will be “1234” and the second part will start from 3 and will reach one in reverse order i.e “321”. So the result is 1234321.

Now you can see how easily we can calculate the square of numbers consisting ones only. For other quicker math techniques, please check our “Quicker Math” section.

Exercise for square of numbers consisting 1 only

As exercise calculate the result of (111111)2. You just need to count the number of 1’s in it and you will have the correct result in a fraction of seconds.

See as we promised, now you can find result of such complicated calculation very quickly. Best of luck for your exams.

Are you ready to play a brain game? Ok, that’s Equi Math for you. Click here to get the Android Game. This game will help in decision making in quick time. It is very easy at beginning and gets difficult on the higher levels. Try to reach as much higher level as possible. On game over, try again to improve your best. That way you will have quicker solving skills.

So, this was the rule for calculating Square of numbers consisting 1 only. Write down your feedback on comments section below. Also check the other quicker math rules for faster calculations.

Don’t forget to share. Please subscribe to Mathkind here for math tricks and more puzzles.

Please share your thoughts and feedback on this, in comments section below.

Square of a number near to 10x

Quicker Math: Square of numbers near 10^x

Isn’t it great if you are able to calculate faster in a competitive exam or in your everyday life? In a competitive exam, you have to solve a large number of questions in a short period of time. Nowadays, people are rushing to the coaching centers for shortcuts. However, it is all for nothing if you do not have a good conceptual understanding. Here is a quicker math rule for calculating the Square of a given number near 10^x.

Check other quicker math rules here.

To square numbers close to the bases of powers of 10 i.e. 10, 100, 1000 and so on easily at extremely fast speed, just follow the steps below:

Step-1: Find the surplus or deficit from the base 10, 100, 1000 & so on

Step-2: Add the surplus (if it is more than base) with or subtract the deficit (if it is less than base) from the whole number given and put the result.

Step-3: Find the square of surplus or deficit and write the result in the last places. Be sure that, since 10 has 1 zero so, 1 more digit to go for numbers near 10, since 100 has 2 zeros so, 2 more digits to go for numbers near 100, accordingly since 1000 has 3 zeros, 3 more digits to go for numbers near 1000 and so on. So, carry forward or put extra zero(s) if necessary to place the digits accurate.

We use the algebraic formula

x2 = (x2 – y2) + y2 = (x + y)(x -y) + y2

Ex 1: (98)2 = (98 – 2) (98 + 2) + 22 = 9600 + 4 = 9604

Ex 2: (103)2 = (103 + 3)(103 – 3) + 32 = 10600 + 9 = 10609

Ex 3: (993)2 = (993 – 7)(993 + 7) + 72 = 986000 + 49 = 986049

Ex 4: (1008)2 = (1008 – 8)(1008 + 8) + 82 = 1016000 + 64 = 1016064

This is quicker math trick 3 on square of a number near to 10^x. Please check other speed math tricks here.

Are you ready to play a brain game? Ok, that’s Equi Math for you. Click here to get the Android Game. This game will help in decision making in quick time. It is very easy at beginning and gets difficult on the higher levels. Try to reach as much higher level as possible. On game over, try again to improve your best. That way you will have quick solving skills.

Don’t forget to share. Please subscribe to Mathkind here for math tricks and more puzzles.

Please share your thoughts and feedback on this, in comments section below.

Quicker Math: Squaring Numbers ending with 5

Quicker Math: Squaring Numbers ending with 5

Isn’t it fantastic to be able to compute more quickly in everyday situations or on competitive exams? You have to answer more questions in less time on competitive exams. Thus, aspirants are increasingly scurrying behind coaching institutes in search of short cuts. But without conceptual clarity, it is all completely pointless. This is the quick math formula for squaring numbers that ends with 5. Check other quicker math rules here.

Give me any 2 digit number that ends in 5, and I’ll square it in my head! and will give you instant correct result.
452 = 2025
852 = 7225, etc.

There’s a quick way to Squaring Numbers ending with 5 : if the first digit is N and the second digit is 5, then the last 2 digits of the answer will be 25, and the preceding digits will be N*(N+1).

Practice Suggestions:

Once you understand the concept, practice mentally squaring these numbers by practicing multiple examples.

This is quicker math trick 1. Please check other speed math tricks here.

More examples:

Ex 1: (15)2 = 1x(1+1)|52 =2|25 =225
Ex 2: (25)2 = 2x(2+1)|52 =6|25 =625
Ex 3: (85)2 = 8x(9)|52 =72|25 =7225
Ex 4: (115)2 = 11x(12)|52 =132|25=13225
Ex 5: (225)2 = 22x(23)|52 =506|25=50625

General Representation:

(N5)2 = N(N+1)|25

Are you ready to play a brain game? Ok, that’s Equi Math for you. Click here to get the Android Game. This game will help in decision making in quick time. It is very easy at beginning and gets difficult on the higher levels. Try to reach as much higher level as possible. On game over, try again to improve your best. That way you will have quick solving skills.

Don’t forget to share. Please subscribe to Mathkind here for math tricks and more puzzles.

Please share your thoughts and feedback on this, in comments section below.