# Hindu Arabic numeration?

###### Wiki User

###### August 17, 2008 2:31AM

**HINDU-ARABIC NUMERATION**

Over the years people invented systems to communicate number
ideas. Each *number system* or *numeration* is made up of
symbols and the rules for combining these symbols. There are
different number systems that are known but the Hindu-Arabic
numeration is what most countries use today.

The Hindu-Arabic numeration originated with the Hindus in India and then developed by the Arabs who introduced it to Western Europe. Eventually, the system spread to other parts of the world.

**Numbers** are ideas and, like any other idea, we have
symbols to represent them. The symbols that are used to represent
numbers called **numerals.**

So when we say write a number, we actually mean write a numeral for the number.

Examples of symbols to represent the number five:

*lllll 5 v*

There are ten different standard symbols called **digits** to
write numbers.

0 1 2 3 4 5 6 7 8 9

Just as we put together letters to form words to communicate our thoughts, we put together digits to communicate numbers. We can therefore think of digits as the

"alphabet" of our number systems.

To form a number we combine digits. However, even if the digits in one number are the same in another, it does not mean that the numbers are the same.

Same digits but different numbers

658 685 586 568 856 856

The Hindu-Arabic numeration is based on 10. That means the system is based on grouping by powers of ten.

10 **1** = 10 10 **10** = 100 10 **100** = 1000 and so
on.

Hence, the order of the place value in our number system is as follows:

millions hundred thousands ten thousands thousands hundreds tens ones

10 10 10 10 10 10 1

x x x x x x

100,000 10,000 1,000 100 10 1

= = = = = =

1 000 000 100 000 10,000 1,000 100 10

Each place value is 10 times greater than the place value next right to it or 10 times less than the place value next left to it. Thus, hundreds is 10 times greater than tens place or 10 times less than the thousands place.

Let us compare the numerals 658 and 568.

*6**in 658 is 6 x 100 = 600, because 6 is in the
hundreds place*

** 6** in 568 is 6 x 10 = 60, because 6 is in the

*tens*place

The value of 6 in 658 is different from 6 in 568, so 658 and 568 are the two different numbers even if they have the same digits.

Look at the place value chart again.

Notice that as the place value becomes greater, the number of zeroes becomes more, because we multiply each place 10 times next right to it. There are 6 places from millions to ones place, so the value of trillions place is:

10 x 10 x 10 x 10 x 10 x 10 or 10 to the power of **10**6

**10**6 (read as *ten to the sixth power)* is an example
of exponential notation.

An **exponential notation** is another way of expressing a
number that is repeatedly multiplied by itself. 10 is multiplied by
6 times, hence **10**6.

The small number 6 in **10**6 is called **exponent** and
the 10 is the **base**. The exponent tells how many times the
base is taken as a factor. The exponent in **10**6 also indicate
how many zeroes there are in the number after 1. We can see that
one million has 6 zeroes.

Study the equivalent exponential notations for each place value.

Millions 10 x 10 x 10 x 10 x 10 x 10 =**10**6

Hundred Thousands 10 x 10 x 10 x 10 x 10 =**10**5

Ten Thousands 10 x 10 x 10 x 10 =**10**4

Thousands 10 x 10 x 10 =**10**3

Hundreds 10 x 10 =**10**2

Tens 10=**10**1

Ones 1 =**10**0

The value of a digit depends on its place value positio in a
number. For example, the value of **8** in **8**5 692 is
**80 000**, because it is in the ten thousands (**10**4)
place.

8 x (**10**4) = 80 000

If we expand the number 85 692 using exponential notation we will also get the value of each digit.

85 692 = (8 x **10**4) + (5 x **10**3) + (6 x **10**2)
+ (9 x **10**1) + (2 x **10**0)

= 80 000 + 5 000 + 600 + 90 + 2

= 85 692

janna trisha aparece

grade 6- camia!!!!

**Tatlong Baliw** may tatlong baliw na na-istranded sa isang
isla.

Kailangan niLang lumangoy ng 10 miles para makarating sa pinakamalapit na beach resort.

Unang Baliw:Lalangoy ako pra makarating dun

(nakalangoy hanggang 4 miles at

nalunod)

Ikalawang Baliw:Ako Din

(Nakalangoy ng hanggang 8 miles

at nalunod)

Ikatlong Baliw:Ako ang makakarating Dun.

(Nakalangoy at 1 meter na lang ang

kanyang lalanguyin at makakarating

na sa beach resort at sinabi)

Ikatlong Baliw:Haaay!!nakakapagod makabalik nga sa isla para makapagpahinga

more jokes from pinoyjokes.com

----