Hindu-Arabic numeration system

The Hindu-Arabic numeration system evolved around A.D. 800. It is basically the numeration system that is widely used today.

The following lists 4 main attributes of this numeration system

First, it uses 10 digits or symbols that can be used in combination to represent all possible numbers

The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Second, it groups by tens, probably because we have 10 digits on our two hands. Interestingly enough, the word digit literally means finger or toes

In the Hindu-Arabic numeration system, ten ones are replaced by one ten, ten tens are replaced by one hundred, ten hundreds are replaced by one thousand, 

10 one thousand are replaced by 10 thousands, and so forth...

Third, it uses a place value. starting from right to left,

  •                     the first number represents how many ones there are 
  •                     the second number represents how many tens there are 
  •        the third number represents how many hundreds there are 
  •        the fourth number represents how many thousands there are 
  •        and so on... 

For example, in the numeral 4687, there are 7 ones, 8 tens, 6 hundreds, and 4 thousands

Finally, the system is additive and multiplicative. The value of a numeral is found by multiplying each place value by its corresponding digit and then adding the resulting products

Place values:       thousand       hundred      ten       one

Digits                        4                      6            8           7

Numeral value is equal to 4 × 1000 + 6 × 100 + 8 × 10 + 7 × 1 = 4000 + 600 + 80 + 7 = 4687

Notice that the Hindu-Arabic numeration system require requires fewer symbols to represent numbers as opposed to other numeration system

Each Hindu-Arabic numeral has a word name. Here is short list:

             0: Zero                                   10: Ten

            1: One                                     11: Eleven

            2: Two                                     15: Fifteen

            3: Three                                  20: Twenty

            4: Four                                    30: Thirty-four

            5: Five                                     40: Fourty

            6: Six                                       100: One hundred

            7: Seven                                  590: Five hundred seventy

            8: Eight                                    5083: Five thousand eighty-three

            9: Nine                                     56000: Fifty-six thousand

Numbers from 1 through 12 have unique names

Numbers from 13 through 19 have "teens" as ending and the ending is blended with names for numbers from 4 through 9

For numbers from 20 through 99, the tens place is named first followed by a number from 1 through 10

Numbers from 100 through 999 are combinations of hundreds and previous names

Recent Articles

  1. How to Convert Square Feet to Acres

    Dec 14, 18 04:05 PM

    Here is how to convert square feet to acres - To convert square feet to ...

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest

Recent Lessons

  1. How to Convert Square Feet to Acres

    Dec 14, 18 04:05 PM

    Here is how to convert square feet to acres - To convert square feet to ...

    Read More

  Our Top Pages

Formula for percentage

Compatible numbers

Basic math test

Basic math formulas

Types of angles

Math problem solver

Algebra word problems

Surface area of a cube

Finding the average 

Scale drawings

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 

Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.


Scientific Notation Quiz

Types of Angles Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz