if there is explorace, so math race also held.. you know?? my institute teaching held mathrace. it very interesting. every students that participated in this mathrace, they said very happy.. and say math is fun.. there are many activities to put in math race. this is my banner for mathrace.. i will show ur activity in mathrace soon..
Have
you ever wanted to teach your child some simple math tricks that you
learned many years ago but can't seem to remember them? Well you are
not alone! With the amount of math tricks that are out there, it can be
hard to remember all of them. Here are a few to help refresh your mind
for you.
A lot of children tend to get scared when they begin multiplication for
10 and up, but you can actually make things a little less scary for
them. Usually by grade two a child is beginning to learn how to
multiply things by the number eleven and many struggle, so teach your
child this little trick and they'll love you forever for it.
Let go through an example so you can visually see by what I mean when I
say you can literally multiple anything by eleven. Let's use the
following equation:
11 x 45
Now with the numbers you are multiplying eleven with separate them with
a space so you are now given the individual numbers 4 & 5. Now add
these to numbers together which will get you 9. Now here comes the
easiest part ever. Where you placed the space between the numbers 4
& 5 place the number 9 and you'll now have the total of 11 x 45= 495
Now if your child gets caught with a double digit number teach them this nifty little trick:
11 x 78
You will once again add these two numbers together which will give you 15. Let me show you what you'll need to do.
11x78 > 7 (7+8) 8 > 7 15 8 ... Now you will take the number 1 and
add it onto the 7 which will then give you the answer of 858 for your
answer. This trick is very simple and can let anyone truly get a better
feel of doing their eleven times tables.
Now that you've learned how to do your eleven times table let's back
track to the nine times table. This trick happens to be one of the most
simplistic tricks anyone could ever learn and help a child really start
out with their math.
When you are given a multiplication problem where you are multiplying 9
by 6 hold up both your hands in front of you, then you will begin
counting from your left hand to the right hand till you hit the 6th
finger, which would be your thumb. When you lower you thumb look at the
fingers you have left on each hand. On your left hand you have 5 and on
your right hand you have four. Place these two numbers together side by
side and you'll have the answer of 54.
As you can see by using these two tricks you can really start your way
to successfully starting your child's understanding of math. When a
child finds that they are not struggling with math they are more likely
to enjoy it, so teach them these two simple tricks and be on your way
to have a child who loves participating in math.
Have
you ever thought about doing complicated math as fast as a calculator?
Do you believe this is impossible? Reconsider this notion! A lot of
people are learning about the simple math methods that allow them to
perform functions easily and you can do this too. This clever trick
shows you how to multiply two numbers of two digits in your head in
about 5 seconds.
Start with your base number. First you need to work out how far away
your two numbers are from your base number. So if we take the example
of multiplying 98 and 97 together, the closest base number to 98 and 97
is 100 - that is all you really need to know. It is necessary to be
aware of your base number prior to doing the rest of the problem.
Think about how close these two digits are to the base number. Now
calculate how far away your two numbers are from your base number. So
98 is 2 away from 100, and 97 is 3 away from 100. Just these two
numbers are essential, so you should record them on top of the number -
so write the -2 above the 98, and the -3 above the 97.
Cross-subtracting. Now this trick is something you probably have never
seen before and it will certainly impress your friends! What you have
to do now is cross-subtract. By that, take your first number which was
98 and the distance your second number is away from your base (-3) and
subtract the two. To get technical, you would actually be adding the
two, but to keep things straight in your mind, we'll call it
subtraction). So, you'll get 98 minus 3 = 95. (You'll find that
cross-subtracting with your other numbers works also, since 97 minus 2
= 95 too.) Keep that number 95 in mind, because it is the first two
digits of your answer. (Can you believe we are half-way through
calculating this mathematical problem!)
Multiply the pair of numerals that are 'floating'. Now you multiply the
two numbers you wrote above 98 and 97, which are -2 and -3. Negative
times negative will always equal a positive number in multiplication -
so your answer is simply, 6. Excellent! Don't let go of that number,
either. It is the final number in the solution.
Examine the base in order to ascertain the way to express the final
pair of numbers. At this point refer back to the base number one last
time to find how many numbers there are and then take away one digit
position. So if the number is 100 which has 3 places, you take away one
digit spot which leaves you two placeholders or digit spots that need
to be filled with the final number that you calculate. Come up with an
answer. At this point, having computed each part of the problem
(cross-subtraction along with multiplying) you will have your answer.
Put them together to make the number 9506. And that's how easy it is to
get the answer to 98 x 97. Demonstrate this method with any other two
digit numbers and see if your friends/family are convinced that you are
a human calculator!
How to extract the 13th root of a 100-digit number in less than twelve seconds
You may have heard the recent news of Dr. Gert Mittring, who
correctly extracted the 13th root of a 100-digit number in less than 12
seconds...in his head. This article shows you how to accomplish the same feat
in the same amount of time using an ordinary calculator.
This math article was inspired by the
news article posted by our site administrator, Clay, who was kind enough to
encourage me to resubmit my post as this present article for the interest of
our readers.
The posted article reported how Dr. Gert Mittring, who has mastered mental
calculations to a unimaginable level, managed to give the correct answer to
extracting the 13th root of a 100 digit number in front of an audience and 2
umpires who selected the number at random. It was also reported that: "Spectators
using electronic calculators were left minutes behind. "
If you read on, you will find out how you could outperform the spectators,
calculator in hand! Just imagine the time it takes to input a 100 digit number
is already more than 12 seconds!
If we were to be requested to count the number of grains of sand at a beach,
most of us would stare on the white sand and say, how would I know. This is
perfectly normal. For those of us who believe that it is possible, we will TRY
and develop a method. Perhaps not the exact number, perhaps not even nearly
exact, but it will be an approximation. From the approximation, we refine our
method, and get even closer. This is how geniuses like Dr. Mittring work.
Now let us look at how we can solve the problem, with or without a calculator.
First, looking at the 13th root, by very simple calculations, we understand
that:
ANY NUMBER RAISED TO THE 13TH POWER WILL HAVE THE LAST DIGIT OF THE RESULT
EQUAL TO THAT OF THE ORIGINAL NUMBER.
That settles the last digit of the answer, simply by copying the last digit of
the number to be extracted 13th root as the last digit of our answer!
Next, we would like to find out within what range the answers should be, given
that the original number has to be a 100 digit number. Therefore the logarithm
(to base 10) of the original number must be between 99.000 and 99.9999999...
Using an ordinary calculator, we calculate the numbers
99/13=7.61538462.. and 7.69230769230...
Raising 10 to these powers gives us the lower and upper limits as:
41246264 and 49238826.
So we know that the answers are 8 digit figures, starting with 4, in fact,
between 41246264 and 49238826, with the last digit equal to the last digit of
the given number!
We are already getting somewhere!
With this information in mind, now we are going to find the 13th root of a
given 100-digit number using a calculator:
If you are a mathematician, you probably have access to superior software such
as Mathematica that will let you get the 13th root in a flash. If you are like
the rest of us, with at best a good calculator in hand, this is how we could
proceed:
We will find the logarithm (to base 10) of the number using the calculator. We
won't be able to enter the complete number into most calculators, but we can do
it approximately by noting that the number is nothing more than
2.3458134525739..*10^99 (that makes a number of 100 digits)
The logarithm is simply 99+log10(2.3458134525739)=99.3702934725
Divide the number by 13 to get 7.643868729
Calculate 10^(7.643868729) to get 44042172, which is the correct answer, noting
that the last digit corresponds with the last digit of the original number!
So here it is, if you were with Dr. Mittring at the performance, with a
calculator in hand, you could have beaten him with your answer in less than
11.8 seconds! For those of you who can preprogramme the calculator to do the
task, the time it takes is what it takes to enter 10 digits.
So now, to get the digits of our magic square, we simply add the 4 we
got from our formula to each of the numbers. For those digits with the
+ sign, add 4 plus the remainder 1 (4 + 1 = 5).
After doing that, you should have a full 4 x 4 magic square for 47:
Now let's review what makes this square so magic. Below are all the ways ways in which you get 47:
| A | B | C | D | | E | F | G | H | | I | J | K | L | | M | N | O | P |
A + B + C + D
I + J + K + L
A + F + K + P
A + D + M + P
I + J + M + N
C + D + G + H
E + I + H + L
A + E + I + M
C + G + K + O
E + F + G + H
M + N + O + P
M + J + G + D
F + G + J + K
A + B + E + F
K + L + O + P
B + C + N + O
B + F + J + N
D + H + L + P
Good luck now, until next time :) see ur again.. nice practice.... see also more trick maths
I think its special because you can directly write
down the answer to any number multiplied by 11.
Take for example the number 51236 X 11.
First, write down the number with a zero in front of it.
051236
The zero is necessary so that the rules are simpler.
Draw a line under the number.
Bear with me on this one. It is simple if you work through it slowly.
To do this, all you have to do this is "Add the neighbor". Look at the 6
in the "units" position of the number. Since there is no number to the
right of it, you can't add to its "neighbor" so just write down 6 below
the 6 in the units col.
For the "tens" place, add the 3 to the its "neighbor" (the 6). Write
the answer: 9 below the 3.
For the "hundreds" place, add the 2 to the its "neighbor" (the 3).
Write the answer: 5 below the 2.
For the "thousands" place, add the 1 to the its "neighbor" (the 2).
Write the answer: 3 below the 1.
For the "ten-thousands" place, add the 5 to the its "neighbor" (the
1). Write the answer: 6 below the 5.
For the "hundred-thousands" place, add the 0 to the its "neighbor"
(the 5). Write the answer: 5 below the 0. That's it ... 11 X 051236 =
563596
Mybe it impolsible to you, but I will show how to get it... In
just FIVE minutes you should learn to quickly multiply up to 20x20 in your
head. With this trick, you will be able to multiply any two
numbers from 11 to 19 in your head quickly, without the use of a calculator.
I will assume that you know your multiplication table reasonably well up
to 10x10.
Try this:
Take 15 x 13 for an example.
Always place the larger number of the two on top in your mind.
Then draw the shape of Africa mentally so it covers the 15 and the 3
from the 13 below. Those covered numbers are all you need.
First add 15 + 3 = 18
Add a zero behind it (multiply by 10) to get 180.
Multiply the covered lower 3 x the single digit above it the "5" (3x5=
15)
Add 180 + 15 = 195.
That is It! Wasn't that easy? Practice it on paper
first!
When basic defenses won't suffice, sometimes even elementary knowledge
of mathematics can keep you from spending hundreds or even thousands of
dollars on your speeding ticket. Through explaining an extremely basic
concept to the courtroom, you can give yourself an almost airtight
defense to any speeding ticket, no matter if you were actually guilty
of the infraction or not.
First off, we're going to start at the end of the concept and work our way backwards.
A vehicle moving at the rate of one mile per hour will cover 1.47 feet in one second.
To find out the distance a vehicle will cover in one second at any
speed, simply multiply 1.47 by the desired speed. For instance, if a
vehicle is traveling at 60mph, it will cover 88 feet in one second. For
two second, obviously, it will cover 176 feet, and so on and so forth.
If you are trying to determine how many seconds it would take a vehicle
to cover a known distance at a specific speed, simply divide the
distance by the speed. Then divide the result by 1.47 feet.
This will yield the number of seconds it would take the vehicle to cover a known distance at a known speed.
For example: A vehicle traveling 60 mph will cover 300 feet in 3.4
seconds--300 divided by 60 divided by 1.47 = 3.4 seconds. If need be,
you can verify this calculation by multiplying 3.4 seconds times 88
feet (the distance traveled in one second at 60 mph) and the result
brings you back to 300 feet.
So, how does this apply to speeding tickets?
If you've been issued a VASCAR ticket, you should be given a few facts
about your infraction. You should be told the speed you were traveling
when clocked, the distance over which you were clocked, and the time it
took you to cover that distance.
If the citation or incident report claims that you covered 300 feet in
4.2 seconds, and you are being charged with speeding at 60 mph in a 50
mph zone, you would be able to immediately prove the fallacy in your
charges.
At 60 mph, you would have traveled 370 feet, not 300 feet. However, at
50 mph you would have traveled 309 feet in 4.2 seconds, indicating that
you were clearly driving within the posted speed limit.
This proves that the charging officer(s) must have made a mistake in
their calculations. Because this is the case, that particular set of
evidence is thrown out the window. Being the primary piece of evidence
in nearly all cases, too, the lack of said evidence would almost
certainly clear you of all charges.
How much percentage in a class of 30 students would agree to you that
Mathematics is a great subject? You might answer "around 10 to 35%" and
that is all. True, most kids today are not thrilled to solve
Mathematical equations not because they do not know the processes
involved, but because of the lack of interest in it.
In a similar way, our daily activities do not mean 100% joy and 0%
problems. At times, we have more problems than joy. Fortunately, some
individual are skilled in handling problems right. Want to know their
secrets?
Well, carefree people, as some might call them, have one thing in
common: optimism. These kinds of people do not mean they never had
problems before. Try remembering a colleague, a relative, a friend, or
someone from your community who has the brightest smile at the start
until the end of the day. How many times did you see that person frown?
Carefree people are fun to be with because their attitude is
contagious. Have you tried asking them how they carry their problems
lightly? Below are their secrets:
1. Learn to control your feelings by separating negative feelings from
positive thoughts. This is the first step in solving problems. Only
after you have cleared your mind with unnecessary thoughts can you
start solving your problems accordingly.
2. Treat each problem as challenge and opportunity for self-improvement.
3. Free that scapegoat attitude. Are you pointing your finger or
blaming others for mishaps? Take responsibilities for your mistakes. No
one is perfect, so never put the blames on others.
4. Use a pen and paper, and rate the depth of the problem and possible
answers to your problem. Probability law principle will allow you to
evaluate how far you have thought of resolving your problems.
5. Keep a journal and treat it as a "secret friend" who is always
willing to listen to your grievances. Write your feelings freely.
6. Develop a noteworthy hobby, for this will help you lessen or minimize stress in your life.
7. Take time off from work and create variations of your daily
schedule. Relax and check out the best movies in town. Travel and meet
new wonderful people. You will find these activities worthwhile in the
long run.
The above tips will help you optimize those positive feelings of yours.
Say you are already consumed by some problems. Here are the 1-2-3 steps
in doing your problem solving:
1. Determine the root cause of the problem. If you think it is
difficult, ask hundreds of why's and what's and you will soon find out
the cause.
2. Think, strategize, and act for resolution.
3. Develop a strong desire to solve the problem.
4. Review the situation for you to avoid repeating the same mistakes committed beforehand.
Consider that everybody experiences lowliness many times, but problems
are problems. They are there not to annoy you; but problems are created
when you cannot accept your limitations. Once you accept your
limitations, problem solving is just a 1-2-3 step, hassle-free, and a
life-sharpening experience indeed. Hence, never consume or lock
yourself in your room when problem strikes. Think that problems are
states of your being limited to something you need the most. But if you
cannot have that important thing, accept it. Let go and you will free
yourself with worries. Remember, less worries mean less problems. If
you think that you really want some time out because of problems,
consider that there is another room available for you called
"improvement."