Multiplying Two Numbers when Sum of their Unit Digits is 10
Vedic Multiplication Trick
This method of multiplication from Vedic Maths will make it very easy to multiply two numbers when sum of the last digits is 10 and previous parts are the same. For example multiplications like
23x27 : Sum of Unit digits i.e. 3+7 = 10; Remaining number i.e. 2 is same in both numbers
46x44: Sum of Unit digits i.e. 6+4 = 10; Remaining number i.e. 4 is same in both numbers
112x118: Sum of Unit digits i.e. 2+8 = 10; Remaining number i.e. 11 is same in both numbers
291x299: Sum of Unit digits i.e. 1+9 = 10; Remaining number i.e. 29 is same in both numbers
135x135: Sum of Unit digits i.e. 5+5 = 10; Remaining number i.e. 13 is same in both numbers
Solving 46 x 44
You will get the answer in two parts.
First part, to get left hand side of the answer: multiply the left most digit(s), i.e. 4 by its successor 5
Second part, to get right hand side of the answer: multiply the right most digits of both the numbers i.e. 4 and 6.
Example
First part: 4 x (4+1)
Second part: (4 x 6)
Combined effect: (4 x 5) | (4 x 6) = 2024
*| is just a separator. Left hand side denotes tens place, right hand side denotes units place
More Examples
37 x 33 = (3 x (3+1)) | (7 x 3) = (3 x 4) | (7 x 3) = 1221
11 x 19 = (1 x (1+1)) | (1 x 9) = (1 x 2) | (1 x 9) = 209
As you can see this method is corollary of "Squaring number ending in 5"
It can also be extended to three digit numbers like :
E.g. 1: 292 x 208.
Here 92 + 08 = 100, L.H.S portion is same i.e. 2
292 x 208 = (2 x 3) x 10 | 92 x 8 (Note: if 3 digit numbers are multiplied, L.H.S has to be multiplied by 10)
60 | 736 (for 100 raise the L.H.S. product by 0) = 60736.
E.g. 2: 848 X 852
Here 48 + 52 = 100,
L.H.S portion is 8 and its next number is 9.
848 x 852 = 8 x 9 x 10 | 48 x 52 (Note: For 48 x 52, use methods shown above)
720 | 2496
= 722496.
[L.H.S product is to be multiplied by 10 and 2 to be carried over because the base is 100].
Eg. 3: 693 x 607
693 x 607 = 6 x 7 x 10 | 93 x 7 = 420 / 651 = 420651.
Note: This Vedic Maths method can also be used to multiply any two different numbers, but it requires several more steps and is sometimes no faster than any other method. Thus try to use it where it is most effective
How do you like this Vedic Maths technique, please let us know. You can also share this with your friends.
Current Affairs Books 2013
Current affairs or general awareness or general knowledge section is as important as any other section in almost all government job competitive examinations. To improve our overall awareness there are lots of options like internet, newspapers, magazines, etc. However, there are very few options for exam specific preparation.
The most striking part of this section is that there cannot be any prescribed format to prepare oneself for it. Fortunately, there are some wonderful books which can help you to sail through these competitive examinations. I am listing the most trusted books on current affairs and general awareness below.
Manorama Yearbook 2013 with Free Encylopaedia Britannica CD ROM – This best seller has a long history of success. It is India's best General knowledge update covering almost everything that a student needs in competitive examinations – Purchase Online
Usage of Remainder Theorem
This is a guest post by one of the regular QuickerMaths.com follower Debasis Basak.
Remainder Theorem & its application
We have all learnt the Remainder Theorem in class 10 (now i am in 11) that when you divide a polynomial f(x) by x-c the remainder r will be f(c). Now let’s see how we can use this theorem in other situations.
First Example
Let’s consider the following Product: 65 x 32.
We want to find out what is the remainder when it is divided by a number say 7.
To solve such questions we just need find the individual remainders when the numbers are divided by the divisor.
Trick to Find Square Root
Get ready for another trick which will help in finding out the square root of a 4 or 5 or 6 digits number mentally.
Before going further on the method to find the square root, please make a note of the following points –
1) Square of a 2-digit number will have at max 4 digits (99^2 = 9801). That implies if you are given with a 4 digit number, its square root will have 2 digits. Hence, square root of 5 or 6 digit number will be a 3 digit number.
2) This trick works only for perfect squares, it will not work for any arbitrary 4 or 5 or 6 –digit. Check out the method of finding square root of number which is not a perfect square
3) It works only for integers
Now let us start with the trick to find square root in vedic maths way.
Best Tips For Modern Students For Vedic Math
Vedic Mathematics is the name given to the ancient mathematics system. The “Bharati Krsna Tirthaji” from the Vedas rediscovered it and according to him, all the mathematics is based on the 16 sutras. These are also known as word formulas. Below are mentioned some of the tips for the students to learn easily and become a master of Vedic math.
It is all about the numbers
Whether numerical or word formulas both of them certainly employ the use of the numbers. Make yourself master of the numbers. Learn the general multiples of all the numbers and make a habit to spend your free time with numbers only. Practice as much as you can and you will be on the right track. You can also figure out something so that you come across these numbers repeatedly. You can paste wallpaper in your room, make some numerical figure as your desktop and subscribe to numerical magazines.
Try to Grip from the Fundamentals and then move forward
Have an approach, which will make youthe basics and fundamentals strong. Once you have a grip over the basics it means half of the work is done. Try to learn what it is all about the “Sutras” and the “Sub sutras” from the starting to the end. What does it all mean? Just solving the examples will not be sufficient but you have to make sure that you have the thorough knowledge of every aspect.
Practice as much as you can
Figures always need practice and you have to make them as your part and parcel. Try to practice every exercise you get your hand on and just solving the problems will not work check the answers also. If you get wrong answers, make sure you look for the right solution and method for a specific problem. There is no end to practice try as many problems as you can since Vedic math is meant to shorten your normal problem solving time pay special attention to any shortcuts you come across and learn them by heart.
Try to Get some Good References
It is always recommended to follow some trusted books. It is always true that right teaching and guidance can do wonders and you have to search both of these for you to get into the right direction. You can follow some good reference books and take some guidance in the form of internet, magazines, friends and family members.
Some Mind and Brain Exercise can do wonders
Since Vedic math is all about the mind, you can learn a few exercises so that your brain is fresh while you start studying the Vedic math.In addition, you can learn how to refresh your mind after several intervals.
Keeping in mind the above tips will certainly give you an edge over the others in learning Vedic math and you can solve lengthy and complicated calculations beating the calculator after learning this math.
Author Bio
Claudia is a talented writer who has performed her duties well. She had taken up various assignments about IT Jobs training. She loves to share her knowledge and expertise with other people through her articles, follow me @ITdominus1.
The Mysterious Number 22
Numbers never fail to surprise us. This post talks about one such amazing property of number 22.
Select any three-digit number with all digits different from one another. Write all possible two-digit numbers that can be formed from the three-digits selected earlier. Then divide their sum by the sum of the digits in the original three-digit number.
You’ll always get the same answer, 22. Isn’t this wonderful!
For example, take the three-digit number 786. The 2 digit-numbers which can be made using the digits 7, 8 and 6 are 78, 87, 76, 67, 86, 68. Hence sum = 78 + 87 + 76 + 67 + 86 + 68 = 462. Sum of digits of 786 = 7+8+6 = 21. Then 462/21 = 22
This will be true for any three-digit number with all digits different.
Six Thinking Hats
The Six Thinking Hats method may well be the most important change in human thinking for the past twenty three hundred years
I’ve just quoted the first line of the preface of the book “Six Thinking Hats” by Edward de Bono. The Six Hats method is an amazingly simple technique based on the brain’s distinct ways of thinking.
Brainstorming sessions or meetings are unavoidable part of our life. However, mostly these produce no results and waste lot of time. This technique, named as Six Thinking Hats by its founder Edward de Bon, is thinking from different perspectives about a decision to be made. This forces you to think outside your habitual way of thinking and helps you to get an overall view of a situation.
A Juicy Problem
An Intriguing Mixture and Alligation Puzzle
We have two one litre bottles. One contains quart of milk and the other quart of water. (1 quart = 0.9463 liters) We take a tablespoonful of milk and pour it into the water. Then we take a tablespoon of this new mixture (water and milk) and pour it into the bottle of milk. Is there more milk in the water bottle, or more water in the milk bottle?
To solve the problem, we can figure this out in any of the usual ways— often referred to as “mixture and alligation problems”—or we can use some clever logical reasoning to find out the problem’s solution.
Post your solutions below as comments.
Why 1089 is a Wonderful Number?
This article is about a number that has some truly exceptional properties. That number is 1089
Amazing property of 1089
Select a three digit number (where the units and hundreds digits are not the same) and follow these instructions:
Step 1: Choose any three-digit number (where the units and hundreds digits are not the same).
Let us randomly select the number 469
Step 2: Reverse the digits of the number you have selected
Using Arithmetic Signs
One of our regular visitor Aisharya Rana contributed this puzzle, which I found to be interesting. Hence I'm posting here to be pondered upon by all of you. Post your answers as comments below -
Puzzle
Using different arithmetic signs solve the following. I'm doing one for illustration -
222 = 6
can be expressed as -
Who is behind QuickerMaths?
I am Vineet Patawari - PGDM (IIM Indore), ACA, B.Com(H). My passion for Mathematics, specially Vedic Maths encouraged me to start QuickerMaths
I believe that if trained properly using powerful tools like Vedic Maths, the immense intellect of human mind can be ignited instantly - find out more
Get Maths Tricks by Email
Recent Comments
As the admin of this website is working, no question very soon it will be... – 21May13
I kept encountering so many tricks..but the problem with those tricks was umpteen divisions: 20-30,... – 21May13
Honey: Honey is the best natural skincare product that helps keep the skin soft and... – 20May13
m+3w+4b=96---------------------(1) 2m+8b=80--------------------------(2) or m+4b=160-----------------------(3) Since, the no of persons are decreasing, so no of hours... – 18May13
Hello my loved one! I wish to say that this post is awesome, nice written... – 18May13
Most Popular
- 100% Finding Cube Root – Vedic Maths Way
- 71% You can make a difference
- 62% Shortcut to Find Square of a Number
- 59% Shortcut to find the Cube of a number
- 54% Base Method of Multiplication
- 53% Division in Vedic Mathematics
- 47% Shortcut Method for Multiplication
- 45% Divisibility Rule of 7, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47
- 45% Quicker Maths by M Tyra
- 43% Memory Tricks for Trigonometry
- 39% Herons Method of Finding Roots
- 38% Squaring any 2-digit number
- 38% Simplify Multiplication with the Lattice Method
- 37% Trick for Adding Time
- 37% Quickly Multiply by 21