Tool to list/distinguish the different ranks of the digits (place values) in a number, the integer part (unit, ten, hundred, etc.) or the decimal part (tenth, hundredth, thousandth, etc.)
Place Values - dCode
Tag(s) : Mathematics, Notation System
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
Place Values
Number's Digits Decomposition
Number generator from places
Answers to Questions (FAQ)
What are the place values in a number? (Definition)
The rank of a digit in a number (unit, ten, hundred, etc.) is the name of the position of the digit within the number, relative to its integer part (before the decimal point) or to its decimal part (after the decimal point).
What are the names of each digit places in a number?
Each number in a number can be associated to a a name that describes its position, its rank. The best known are the numbers of the units, tens, hundreds, thousands for integer numbers, or the numbers of the tenths, hundredths, thousandths, etc for decimal numbers. but there are others (all of them can be described). Here is a list/chart/table in English:
| 1 | Units (Once) | Digit 1 |
| 10 | Tens (Tence) | Digit 2 |
| 100 | Hundreds | Digit 3 |
| 1000 | Thousands | Digit 4 |
| 10000 | Tens of Thousands | Digit 5 |
| 100000 | Hundreds of Thousands | Digit 6 |
| 1000000 | Millions | Digit 7 |
| 10000000 | Tens of Millions | Digit 8 |
| 100000000 | Hundreds of Millions | Digit 9 |
| 1000000000 | Billions | Digit 10 |
| 0.1 | Tenths | 1st decimal place |
| 0.01 | Hundredths | 2nd decimal place |
| 0001 | Thousandths | 3rd decimal place |
| 0.0001 | Ten-Thousandths | 4th decimal place |
| 0.00001 | Hundred-Thousandths | 5th decimal place |
| 0.000001 | Millionths | 6th decimal place |
| 0.000000001 | Billionth | 9th decimal place |
Example: 1.2 for 1 unit and 2 tenths
0.005 for 5 thousandths
700 for 7 hundreds
NB: The place value of digit is always 10 times as great as the place value of the digit to its right.
How to calculate the rank of a digit in a number?
To calculate the rank of a digit in a number, locate its position in relation to the decimal point if it exists, otherwise starting from the right.
The first digit is ones, then tens, etc.
What is the meaning of the decimal point in a number?
The comma in a number separates the integer part from the decimal part. The digits to the left of the decimal point are integers, while those to the right are decimal places.
How to write a number in letters?
To write a number in plain letters, use the dCode tool for writing numbers in letters.
How to express the rank of a number using powers of 10?
Any number can be expressed using each digit and the powers of 10 associated with its rank - 1.
Example: 321 (3 hundreds, 2 tens, 1 unit) can be expressed $ 321 = 3 \times 10^2 + 2 \times 10^1 + 1 \times 10^0 $
Source code
dCode retains ownership of the "Place Values" source code. Except explicit open source licence (indicated Creative Commons / free), the "Place Values" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Place Values" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Place Values" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
Reminder : dCode is free to use.
Cite dCode
The copy-paste of the page "Place Values" or any of its results, is allowed (even for commercial purposes) as long as you credit dCode!
Exporting results as a .csv or .txt file is free by clicking on the export icon
Cite as source (bibliography):
Place Values on dCode.fr [online website], retrieved on 2024-11-18,
- Number's Digits Decomposition
- Number generator from places
- What are the place values in a number? (Definition)
- What are the names of each digit places in a number?
- How to calculate the rank of a digit in a number?
- What is the meaning of the decimal point in a number?
- How to write a number in letters?
- How to express the rank of a number using powers of 10?
