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Converting Fractions, Decimals

Converting Fractions, Decimals




Integers


Integers have no digits to the right of the decimal point. Examples of integers are 628, 3232542364357, and -54.
In the number 628,
8 stands for 8 ones2 stands for 2 tens6 stands for 6 hundreds
So 628 represents the sum of 6 hundreds, 2 tens, and 8 ones, or 600 + 20 + 8.

Base 10


When we write numbers, we use a system mathematicians call "base 10." In base 10, the first number to the left of the decimal point represents the number of 1's, the second number represents the number of 10's, the third number represents the number of 100's, the fourth number represents the number of 1000's, and so on.
Here are the place values:
Notice that as we move to the right, we divide by 10. We need to understand this to work with decimals.


Decimals


We have seen that to the left of the decimal place, the digits represent 1's, 10's, 100's, 1000's, and so on. To find the value of a decimal place, we divide the value of the decimal place to the left of it by 10.


Well, we do the same thing with digits to the right of the decimal place!
Let's look again at the sequence of numbers 1000, 100, 10, 1, and continue the pattern to get new terms by dividing previous terms by 10:
.1 = 1/10 .01 = 1/100.001 = 1/1000

So just as the digits to the left of the decimal represent 1's, 10's, 100's, and so forth, digits to the right of the decimal point represent 1/10's, 1/100's, 1/1000's, and so forth.



II. Changing a decimal to a fraction

Terminating Decimals

Now that we understand how decimal representation works, let's try to figure out the fractional equivalent of the decimal .345.
The 3 represents 3 tenths, the 4 represents 4 hundredths the 5 represents 5 thousandths
So, we can write .345 = 3/10 + 4/100 + 5/1000.
In order to add these fractions, we need to find the common denominator. In this case, it is 1000.


3/10 + 4/100 + 5/1000 = (300 + 40 + 5)/1000 = 345/1000.

The fraction 345/1000 needs some reducing. We can divide each side by 5: 345/1000 reduces to 69/200, so the final answer is:

.345 = 69/200.

Here's a shortcut for dealing with decimals: instead of writing out .345 = 3/10 + 4/100 + 5/1000, then finding the common denominator, adding, and reducing, just think:
.345 = 345/1000.

How about converting .7 or 47.6 to fractions?

.7 = 7/10 or seven tenths 47.6 = 476/10 or four hundred seventy-six tenths

Funny isn't it?......islamic poetry

Funny how $10 looks so big when we take it to masjid and so small
when we take it to the store.

Funny how big an hour serving God looks and how small 60 mintues
are when spent playing golf, fishing or playing soccer.


Funny how laborious it is to read a juzz in the Quran and how
easy it is to read - 2-300 pages of a best selling novel.

Funny how we believe what newspapers say but question what
the Quran says.

Funny how we can't think of anything to say when we pray and don't
have any difficulty thinking of things to talk to a friend.


Funny how we need 2-3 weeks to fit an islamic event into our
schedule, but can adjust it for a social event at the last moment.

Funny isn't it?

Be thankfull....islamic peotry

BE THANKFUL====================

Be thankful that you don't already have everything you desire,

If you did, what would there be to look forward to?

Be thankful when you don't know something

For it gives you the opportunity to learn.

Be thankful for the difficult times.

During those times you grow.

Be thankful for your limitations

Because they give you opportunities for improvement

.Be thankful for each new challenge

Because it will build your strength and character.

Be thankful for your mistakes

They will teach you valuable lessons.

Be thankful when you're tired and weary

Because it means you've made a difference.

It is easy to be thankful for the good things.

A life of rich fulfillment comes to those who are also

thankful for the setbacks.

GRATITUDE can turn a negative into a positive.Find a way to be thankful for your troubles and theycan become your blessings.

Smile.....Islamic poetry

SMILE!!!!She smiled at a sorrowful stranger.

The smile seemed to make him feel better.

He remembered past kindness of a friend

And wrote him a thank you letter.

The friend was so pleased with the thank you

That he left a large tip after lunch.

The waitress, surprised by the size of the tip,

Gave part to a man on the street

.The man on the street was grateful;

For two days he'd had nothing to eat.

After he finished his dinner,

He left for his small dingy room.

He didn't know at that moment

that he might be facing his doom.

On the way he picked up a shivering puppy

And took him home to get warm.

The puppy was very grateful

To be in out of the storm.

That night the house caught on fire

.The puppy barked the alarm.

He barked till he woke the whole household

And saved everybody from harm.

One of the boys that he rescued

Grew up to be President.

All this because of a simple smile

That hadn't cost a cent....

and THAT is the power of a smile! So smile away :)

The Messenger of Allah, upon whom be peace, said: "Every good deed is sadaqah (charity). To meet yourbrother with a smiling face and to pour out from yourbucket into his container are sadaqah."

math is fun ( websites about decimals)

1. [100.00%] Adding Decimals
3.25, 0.075 and 5 Line the decimals up: 3.25 0.075 + 5. "Pad" with zeros: 3.250 0.075 + 5.000 Add: 3.250 0.075 + 5.000 8.325 That's all there is to it - just remember to line up the decimals, then add normally. decimals decimals Index
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2. [96.88%] Subtracting Decimals
Subtracting Decimals Subtracting Decimals is easy if you keep your work neat To subtract Decimals, follow these steps: Write down the two numbers, one under the other, with the decimal points lined up. Add zeros so the numbers have the same length
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3. [90.63%] Decimals
Decimals A Decimal Number ( based on the number 10 ) contains a Decimal Point: Our Decimal System lets us write numbers as large or as small as we want, using the decimal point. Numbers can be placed to the left or right of a decimal point, to
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4. [90.63%] Multiplying Decimals
Multiplying Decimals Multiply without the decimal point, then re-insert it in the correct spot! How to Multiply Decimals Just follow these steps: Multiply normally, ignoring the decimal points. Then put the decimal point in the answer - it will
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5. [84.38%] Dividing Decimals
Dividing Decimals Quick method: use Long Division without the decimal point, then re-insert the decimal point in the answer. Dividing a Decimal Number by a Whole Number To divide a decimal number by a whole number: Use Long Division (ignoring the
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6. [81.25%] Convert Decimals to Fractions
Convert Decimals to Fractions To convert a Decimal to a Fraction follow these steps: Step 1: Write down the decimal divided by 1. Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two
http://www.mathsisfun.com/converting-decimals-fractions.html - 16.2kb

7. [81.25%] Ordering Decimals
Ordering Decimals Ordering Decimals can be tricky. This is because often we look at 0.42 and 0.402 and say that 0.402 must be bigger because there are more digits. If you follow the following method you will see which Decimals are bigger. Set up a
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8. [78.13%] Converting Fractions to Decimals
Convert Fractions to Decimals The simplest method is to use a calculator. Just divide the top of the fraction by the bottom, and read off the answer ! Example: What is 5 / 8 as a fraction? ... get your calculator and type in "5 / 8 =",
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9. [77.81%] Multiplying Decimals Animations
Multiplying Decimals Animations How to Multiply Decimals Multiplying Decimals starts with normal multiplication (ignoring decimal points). Then the trick is to make sure the answer has as many decimal places as the two original numbers combined .
http://www.mathsisfun.com/numbers/decimals-multiplying-animation.html -

10.5kb10. [77.81%] Dividing Decimals Animations
Dividing Decimals Animations How to Divide Decimals Dividing Decimals has two steps: Use Long Division (ignoring the decimal point) Then put the decimal point in the same spot as the dividend (the number being divided) It is easy to show in an
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