Alphametic Cryptarithms
This is a guest post by Danielle Brooksis
Alphametic = Alphabets + Arithmetic
Alphametic cryptarithms are a fun way to bridge the gap between math and language, particularly good for training young people to think logically and use reasoning.
Wikipedia definition: Verbal arithmetic, also known as alphametics, cryptarithmetic, crypt-arithmetic, cryptarithm or word addition, is a type of mathematical game consisting of a mathematical equation among unknown numbers, whose digits are represented by letters.
I like to pass time figuring out math puzzles, because there is no ONLINE ANSWER SERVICE for them.
Kaprekar Number 6174
Few days back I posted an article based on the interesting properties of 153. Lot of people got very excited to know about similar other numbers with such interesting properties. Today I will be discussing about another such interesting number: 6174
Kaprekar's Constant
6174 is known as Kaprekar's constant named after the Indian mathematician D. R. Kaprekar. 6174 has got a very interesting property. To know what that mysterious property is take any four-digit number. Arrange the digits in ascending and then in descending order to get two four-digit numbers. Then subtract the bigger number from the smaller number. If we keep on repeating this process we will end up in 6174. This process is called Kaprekar's routine. All the numbers will yield 6174 in 7 or less than 7 iterations.
Interesting Properties of 153
Mathematics is something beautiful if you can see how interesting each natural number is. All numbers are interesting, but some numbers are more interesting than others.
In my earlier posts I have discussed about such interesting numbers –
Palindromes , Munchausen Number, beauty of numbers, Ramanujan Number
One such very interesting number is 153. I figured out few properties of 153 myself and felt proud on my observations. However when I researched more I was embarrassed at the paucity of my observations. I swear now that each number is a study in itself.
I am listing below some attention-grabbing and curious property of 153. For better understanding, I have linked certain terms to wikipedia-
Is 0.999…= 1?
Many a times we have made 0.999….= 1. But we always thought it’s an approximation, they are not equal though.
It might be surprising for many of us to know that 0.999….. is actually EQUAL to the integer 1. It can be proved like this,
If x = 0.999..., then 10*x = 9.999... so by subtracting the first equation from the second, we get
9*x = 9.000...
Therefore, x=1.
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How to convert from decimal to other number systems
This post will be of special interest for people who are regularly in touch with mathematics. Students preparing for competitive examinations usually have Base System (Number Systems) in the list of their topics under quantitative aptitude. You can suggest any addition to the post below by posting a comment or mailing me at vineetpatawari[at]gmail[dot]com. If you have any queries post it as comment.
Conversion from decimal to binary and other number bases
In order to convert a decimal number into its representation in a different number base, we have to be able to express the number in terms of powers of the other base. For example, if we wish to convert the decimal number 100 to base 4, we must figure out how to express 100 as the sum of powers of 4.
How to express fractions as decimals
In the past few days I didn't enough time to think and write about a any topic on QuickerMaths.com. Today the suggestion of this topic came from one of you, so half the work was done. Friends I will request you to keep suggesting new topics on which I can write for everyone's benefit on QuickerMaths.com
How to express fractions as decimals or percentage
This post will help you to learn:
- Express a given percent as a decimal or fraction.
- Solve a given problem that involves finding a percent.
- Determine the answer to a given percent problem where the answer requires rounding, and explain why an approximate answer is needed (e.g., total cost including taxes).
- Work problems involving pie charts and percents.
- Work problems involving tables and percents.
How to calculate EMI?
In our daily life we face enormous application of mathematics. Calculation of equated monthly installments (EMI) for car or home loan is one such common application of mathematics.
EMI or equated monthly installments is the most popular form of loan payment. It is a fixed amount of repayment made every month towards the loan, which includes payment towards both principal and interest. Most of us always believe the bank executives blindly on the figure which they quote as EMI.
Munchausen Number
Munchausen Number is a number that is equal to the sum of its digits each raised to a power equal to the digit.
Munchausen number is also called perfect digit-to-digit invariant (PDDI) because of the above feature.
The only Munchausen numbers are 1 and 3435.
Specialty of 3435 -
Understanding Platonic Solids with Modular Origami
A guest post by Maria Rainier
Understanding Platonic Solids with Modular Origami
Solid geometry is perhaps one of the best mathematical applications of origami, but of course, there are many other ways to use it in improving students’ understanding of math’s processes, concepts, and underpinnings. For anyone who has difficulty with the abstract components of math, origami can help provide both visual aids and the opportunity to arrive at mathematical conclusions through trial and error. It’s an especially effective way to help visual and kinesthetic learners to understand basic geometric concepts.
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
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