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
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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).
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.
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.
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.
To write a number in plain letters, use the dCode tool for writing numbers in letters.
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 $
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Cite as source (bibliography):
Place Values on dCode.fr [online website], retrieved on 2024-12-04,