decimal

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decimal

1. a fraction that has a denominator of a power of ten, the power depending on or deciding the decimal place. It is indicated by a decimal point to the left of the numerator, the denominator being omitted. Zeros are inserted between the point and the numerator, if necessary, to obtain the correct decimal place
2. any number used in the decimal system
3. 
a. relating to or using powers of ten
b. of the base ten
4. expressed as a decimal
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Decimal

 

a fraction whose denominator is a whole power of the number 10. The decimal is written without a denominator, setting off in the numerator to the right of the decimal point as many digits as there are zeros in the denominator (for example, 485,634/1,000 = 485.634 and 3/100 = 0.03). In such notation, the part to the left of the decimal point designates the integer part of the fraction. The first digit after the decimal point designates the number of tenths; the second, the number of hundredths; and so forth.

The decimal notation of rational numbers whose denominator does not have other prime factors except 2 and 5 contains a finite number of digits (for example, 4/25 = 0.16). In general, the digits in the decimal notation of a rational number begin repeating at some position; such a number is an infinite repeating decimal (for example, 7/6 = 1.1666 …). Irrational numbers are nonrepeating infinite decimals (for example, Decimal = 1.41421 . … In all cases, the decimal of akak-1a0b1b2 … can be written in the form

where ak, ak-1, … , a0, b1b2, are the numerals 0, 1, 2, … , 9 (ak ≠ 0) in the corresponding digit of the number. For example, 382.1274 = 3 x 102 + 8 × 10 + 2 + 1/10 + 2/102 + 7/103 + 4/104, that is, here a2 = 3, a1 = 8,a0 = 2, b1 = 1, b2 = 2, b3 = 7, and b4 = 4. Decimals were already used in the 14th-15th centuries. The Samarkand mathematician Al Kashi described the decimal system in 1427. In Europe, the decimal was introduced by S. Stevin in 1584.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.

decimal

[′des·məl]
(mathematics)
A number expressed in the scale of tens.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

decimal

Meaning 10. The numbering system used by humans, which is based on 10 digits. In contrast, computers use binary numbers because it is easier to design electronic systems that can maintain two states rather than 10.
Copyright © 1981-2019 by The Computer Language Company Inc. All Rights reserved. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other reproduction is strictly prohibited without permission from the publisher.
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The post-operative improvement in UDVA (in decimal notations) is statistically significant P value <0.01, with both paired t-test and Wilcoxon Sign Rank Test.
A longitudinal study of students' understanding of decimal notation: An overview and refined results.
According to these requirements, binocular visual acuity should be at least 0.5 (decimal notation, equivalent to 0.3 logMAR) and the horizontal field should extend for at least 120[degrees] ("Council Directive 91/439/EEC," 1991).
(6) However, we clearly understand decimal notation, thus threatening the Modest Principle.
From our results, it is clear that students are able to carry out the standard tasks of arithmetic at school without having their understanding of the fundamental meanings of decimal notation challenged.
The first algorithm involves a clever use of decimal notation to rewrite numbers in non-standard form so that in each place numbers of sufficient magnitude exist to carry out the subtractions without use of negative numbers (for example, as in rewriting 36 to 20 + 16 before subtracting 9 in the ones column).
They provide a non-standard tool for representing length, which in turn can be represented using conventional decimal notation. They are conceptually identical to Linear Arithmetic Blocks (Helme & Stacey, 2000).
For example, it might be helpful for teachers to make references to the "endless Base 10 chain" (Steinle & Stacey, 1998, p.418; see Figure 3) when explaining the structure of decimal notation to students.
Students had great difficulty relating the decimal notation to the picture.
Refining the classification of students' interpretations of decimal notation. Hiroshima Journal of Mathematics Education, 6, 49-69.
The lessons flow naturally and easily from the most basic idea of sharing food with a friend to the development of the ability to write fractions, use fraction vocabulary, and understand equivalent fractions and decimal notation. Each lesson is presented in a simple format and includes correlation with the NCTM's Standards and an additional resource to round it out as a useful tool for teachers.
Finally, make sure all these experiences of thousandths, millionths, and billionths are sensibly linked with neatly made and labelled place-value columns, and with calculator displays, both using decimal notation. What had previously been just another calculator digit a few steps to the right of the decimal-point now has a more familiar appearance, and a clearer meaning.