# Definition of decimal in US English:

## decimal

• 1Relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

‘decimal arithmetic’
• ‘In each case, the single numbers, 0 and 1, are used to represent the usual numbers in our decimal system and our normal alphabet.’
• ‘If you write pi down in decimal form, the numbers to the right of the never repeat in a pattern.’
• ‘However, rather than have to learn 10 symbols as we do to use our decimal numbers, the Babylonians only had to learn two symbols to produce their base 60 positional system.’
• ‘One of my more distinct recollections of math class involves the decimal representation of rational numbers and the discovery of wonderful patterns among those digits.’
• ‘If you know the binary number system, then you understand that it is a place-value system like ordinary decimal numbers.’
• ‘The Vedic mathematicians had developed the decimal system of tens, hundreds, thousands, etc. where the remainder from one column of numbers is carried over to the next.’
• ‘A trio of Indian mathematicians struggled to slot this symbol into their developing decimal number system.’
• ‘The discovery of the binomial theorem for integer exponents by al-Karaji was a major factor in the development of numerical analysis based on the decimal system.’
• ‘One significant idea which appears in the text concerns representation of numbers in the decimal notation.’
• ‘To keep the structure of the argument clearly in view Wittgenstein uses a system of decimal numbering.’
• ‘If you wonder why we have not included the number in decimal form, then let me say that it contains about 150 times as many characters as this whole article on perfect numbers.’
• ‘We work our numbers in a decimal system because we have ten fingers.’
• ‘The book, which went on to be widely copied and imitated, introduced the Hindu-Arabic place-valued decimal system and the use of Arabic numerals into Europe.’
• ‘The number system which was used to express this numerical information was based on the decimal system and was both additive and multiplicative in nature.’
• ‘The LOG button on your calculator can be used to compute how long a number is, that is, how many decimal digits it has.’
• ‘The advent of decimal arithmetic reduced the need for such tests.’
• ‘Topics considered include addition and subtraction of decimal numbers followed by multiplication and division of decimal numbers.’
• ‘For example, to test whether a number written in decimal digits is divisible by 2, you need check only whether the last digit is even.’
• ‘The only catch is that the formula works for hexadecimal or binary digits but not for decimal digits.’
• ‘None of these results are hard to prove today (try them!) with our understanding of the decimal representation of numbers.’
1. 1.1 Relating to or denoting a system of currency, weights and measures, or other units in which the smaller units are related to the principal units as powers of ten.
‘decimal coinage’
• ‘This was the second issue of decimal coinage and the series continued during the reigns of King Rama VI, VII and VIII.’
• ‘At the time when New Zealand changed to decimal currency in the 1960s, one pound was equal to two dollars.’
• ‘The change is simple compared to shifts such as Britain's adoption of decimal currency in 1971, as there is no complex conversion to be done.’
• ‘The uniformity of administrative structures was reflected, later, in the imposition of a national, decimal system of weights, measures, and currency.’
• ‘Just as the British press found an elderly lady who thought that decimal coinage would not catch on in Skye when it was introduced in 1971, so too have reports flooded in of refuseniks who regard the euro as the work of the devil.’
• ‘But the decimal currency is still with us, even if the half-pence is gone and the remaining coins are a little smaller.’
• ‘One of his last banking functions was to initiate the change to decimal currency.’
• ‘The metric system is a system of measurement of decimal units based on the meter.’
• ‘It's certainly not the notes and coins that bother me as we would be able to retain the monarchs head, as have Spain, Netherlands and Belgium, because it's no different in those terms from when we converted to decimal currency.’
• ‘Coins from the earliest days of Australian settlement to modern decimal currency are displayed.’
• ‘Elaborated between 1790 and 1799, the decimal metric system of weights and measures was zealously promoted under Napoleon.’
• ‘Change (in the case of decimal currency, to something far simpler for calculation) can be more worrying than staying with the complicated.’
• ‘Malta's decimal currency has the lira as its basic unit and one lira is equivalent to 100 cents.’
• ‘In UK we managed to change to decimal currency with vastly less upset than predicted.’
• ‘I remember - back in 1970-71-the huge level of opposition to changing our money to a decimal currency.’
• ‘In fact, the Government spent less money telling us all about decimal currency than we are now being given to sell this Budget.’
• ‘Even if your business cannot join the general changeover to decimal money for a while after Decimal Day - February 15-you still need to prepare now for the introduction of decimal currency.’
• ‘Like the introduction of decimal currency, the advent of the Euro was an opportunity no level-headed business man or woman would miss.’
• ‘However, the bank is also making preparations to take in as many of the 2.5 billion coins they have minted since the introduction of decimal currency in 1971.’
• ‘In 1997, the rupiah was so devalued that they had to switch from the decimal system to base 20 to cut down on the zeroes used in everyday transactions.’

### noun

• 1A fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.

• ‘Students eventually went on to work on exercises where fractions, decimals and percentages were used interchangeably.’
• ‘The Mathematics Computation subtest assesses skills in computing with whole numbers, fractions, mixed numbers, decimals, and algebraic equations.’
• ‘The math course consists of five subject areas: understanding numbers, using whole numbers, using decimals, using fractions and percents, and working with data.’
• ‘Converted to decimals this is 0.0087268 which is correct to 6 decimal places, the answer to 7 decimal places being 0.0087265.’
• ‘Pricing stocks in decimals should improve liquidity and execution quality.’
• ‘Without an accurate chart, the precise latitude and longitude, often to three decimals provided by the GPS, is just a set of numbers.’
• ‘Although he did not invent decimals (they had been used by the Arabs and the Chinese long before Stevin's time) he did introduce their use in mathematics in Europe.’
• ‘We've operated now with decimals for a couple of years.’
• ‘After attendance, she asked everyone for our homework assignment, which was multiplying decimals.’
• ‘How do you convert decimals and percentages to fractions?’
• ‘Without decimals, Europe would have remained trapped in the cumbrous Roman system of numeration.’
• ‘Basic means a level that really does not exceed primary school: fractions, decimals, percentages and ratios.’
• ‘You can't divide this number evenly without using fractions or decimals.’
• ‘We can use arithmetics with different bases, fractions, decimals, logarithms, powers, or simply words.’
• ‘They should also be able to understand basic maths and geometry, including fractions, decimals, multiplication and division.’
• ‘All percentages are given without any decimals.’
• ‘From being tagged a failure, a boy who could not even produce a straight line on paper or understand decimals, I trusted in words, and I wrote my first poems.’
• ‘Betfair quote all their prices as decimals rather than traditional fractional odds.’
• ‘Irrational numbers are numbers that can be written as decimals but not as fractions.’
• ‘Expressed in decimals, this fraction has the value 0.123456790, with these digits endlessly repeated in the same order.’
1. 1.1 The system of decimal numerical notation.
• ‘Working on networks, I find there's always a need to convert between decimal, hexadecimal, octal and binary.’
• ‘About the only thing this calculator lacks is the ability to switch from decimal to hex to octal to binary.’
• ‘Walton has also noticed that the total of the durations of the kingdoms and the total of the ages of the patriarchs are numerically related and are equivalent if the number base of the Sumerian list is changed from sexagesimal to decimal.’
• ‘Though the entries of the table are in decimal, notation along the rows and columns is in hexadecimal.’
• ‘In this case the representation is exact, in binary as well as in decimal (the binary significand is 0.11).’
• ‘The same must well have been true of changing our monetary system to decimal.’
• ‘And even though U.S. currency is decimal and therefore metric, we don't think of it that way.’
• ‘IP addresses are usually written as four sets of numbers (known as dotted decimal, or dotted quad notation), each having a value between 0 and 255.’
• ‘In addition to binary and decimal, computers can also speak in octal and hex.’
• ‘The easiest half is to convert from binary to decimal.’

### Origin

Early 17th century: from modern Latin decimalis (adjective), from Latin decimus ‘tenth’.

## decimal

/ˈdɛs(ə)məl//ˈdes(ə)məl/