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Place Values

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.)

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Place Values -

Tag(s) : Mathematics, Notation System

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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:

1Units (Once)Digit 1
10Tens (Tence)Digit 2
100HundredsDigit 3
1000ThousandsDigit 4
10000Tens of ThousandsDigit 5
100000Hundreds of ThousandsDigit 6
1000000MillionsDigit 7
10000000Tens of MillionsDigit 8
100000000Hundreds of MillionsDigit 9
1000000000BillionsDigit 10
0.1Tenths1st decimal place
0.01Hundredths2nd decimal place
0001Thousandths3rd decimal place
0.0001Ten-Thousandths4th decimal place
0.00001Hundred-Thousandths5th decimal place
0.000001Millionths6th decimal place
0.000000001Billionth9th 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

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Cite as source (bibliography):
Place Values on dCode.fr [online website], retrieved on 2024-12-04, https://www.dcode.fr/number-place-value

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