No More Carrying Over
"Carry" in Addition - Can it be Avoided?
Carrying over is a concept taught to us at a very early stage of our life. However, it has never been an easy thing to do. In adding two or more numbers, most of us face problem while “carrying over”. Larger the digits, involved in the numbers to be added, more likely it is to involve carrying. More the carrying over involved, more likely are we to make mistakes.
Friends, remember the most basic and effective rule of making arithmetic fast and quick is to break difficult calculations into simpler, easily manageable small calculations.
Any digit when added to 9 (except 0) makes carrying over mandatory. On the contrary, anything added to 0 can’t produce a two digit number. Even if 9 is added to 0, no carrying is needed.
Brain needs Exercise
This is a guest post by Amanda Tradwick
Brain Games for Your Aging Parents
Just like any other part of the body, the brain has to be exercised to stay healthy. Just like strength training can help muscles to stay strong and running can help the heart stay healthy, regular cognitive exercise can help mental function to stay sharp and to stave off memory loss and dementia. Though the effects of age and time cannot be avoided over time, performing mental exercise can help delay those effects and keep the mind healthier for a longer period of time. Here's how brain games can help your aging parents:
Benefits
There are many benefits of brain games and other mental exercises, like learning new skills or hobbies. Here are a few of the benefits:
Mathematics of Insurance
This is a guest post by Izzy Woods
Life Is A Gamble: Mathematics Of Expected Value And Insurance Explained
It’s always interesting when someone makes the claim that they don’t gamble. Even this early in the year most people will have made several decisions where the outcome was uncertain and those outcomes were mostly financial - just like a bet. Whether it was deciding to start the year with a new job or take out some kit car insurance on the newly built love of their lives they can’t be sure whether their financial position will be stronger or weaker as a result of their decision.
We’ll first explore the simple mathematics behind these gambles using a gambling example and explain why some decisions you should take each and every time they are offered to you. Interestingly products like insurance rely on our fear of ruin and are not always a fair gamble; we’ll explain why that is and how that leads to profit for insurance companies.
Real Estate Math Problem
Math problems dealing with real estate, debt and income can be a little tricky, but fun and extremely useful in the real world! Check out this real estate math problem to see if you can find the solution!
This puzzle is a DTI--Debt-to-Income--problem that banks usually utilize to calculate whether or not a potential borrower will be able to pay back the loan.
Background Info: Mr. and Mrs. Abrams have a combined yearly income of $90,000. They would like to purchase a commercial property on which to start a business for $215,000. They have spoken with a potential lender, who indicated they can provide a $200,000, 30 year loan at 7% interest if the Abrams can qualify. In addition to the property payment, the Abrams estimate their taxes and insurance to be $145 per month. Mr. Abrams has a student loan payment of $67 a month and Mrs. Abrams has a car payment of $347 a month. Assume an amortization factor of 6.65.
The Pierrot Puzzle
Question on Special Products
The Pierrot in the illustration is standing in a posture that represents the sign of multiplication. He is indicating the peculiar fact that 15 multiplied by 93 produces exactly the same figures (1,395), differently arranged.
The puzzle is to take any four digits you like (all different) and similarly arrange them so that the number formed on one side of the Pierrot when multiplied by the number on the other side shall produce the same figures. There are very few ways of doing it, and you shall give all the cases possible. Can you find them all?
Benediktov Problem
Tricky Problem
The Great Russian poet Benediktov was very fond of mathematics and he collected and compiled a whole volume of trick brain teasers. Though this work was never published, the manuscript was found in 1924. An interesting problem contained in the manuscript, captioned ‘An ingenious Way of Solving a Tricky Problem’ goes as follows:
One woman made a living by selling eggs, had 90 eggs which she wanted her three daughters to sell. So she gave her eldest daughter 10 eggs, 30 to her second daughter and 50 to the youngest.
Rule of 72 – Estimation of Compound Interest and Time
Effect of Compounding
The Rule of 72 is a good quick math shortcut to find out the following –
- Time required for an amount to double itself, at a given rate of interest
- Rate at which an amount should grow to double itself in given time
This formula can be applied for “Doubling Problems” related to money, population, etc. which grows at an annual compounded rate.
Formulae
- To calculate the time; T = 72/R
- To calculate the rate of interest; R= 72/T
Puzzle on Barter System
AT A CATTLE MARKET
Three countrymen met at a cattle market. ‘Look here,’ said Hari to Jaggu, ‘I’ll give you six of my pigs for one of your horses, and then you’ll have twice as many animals here as I’ve got.’
‘If that’s your way of doing business,’ said Dinanath to Hari, ‘I’ll give you fourteen of my sheep for a horse, and then you’ll have three times as many animals as I.’
‘Well, I’ll go better than that,’ said Jaggu to Dinanath; ‘I’ll give you four cows for a horse, and then you’ll have six times as many animals as I’ve got here.’
No doubt this was a very primitive way of bartering animals, but it is an interesting little puzzle to discover just how many animals Jaggu, Hari and Dinanath must have taken to the cattle market.
If you enjoy puzzles like this you may also enjoy math classes from an accredited online college.
Trick for Adding Time
Have you ever faced any problem in adding time?
If you have ever have faced the slightest difficulty in adding time or duration expressed in hours and minutes, this trick is meant for you.
Say you have to add 4 hours 55 minutes and 2 hours 40 minutes.
Make 4 hours 55 minutes into one number, which will give us 455 and do the same for the other number, 2 hours 40 minutes, giving us 240.
Shortcut Trick to Add Two Numbers
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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