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 It might be outdated or ideologically biased.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.
References in periodicals archive ?
Decimal fractions differ from common fractions because they have 10 or a power of 10 for a denominator, whereas common fractions can have any number for the denominator.
The theoretical rate was based on the percentages, converted to decimal fractions, provided by Fehr (1987).
She said that she was confident of her procedural knowledge, but was unsure of some of the different ways of conceptualizing and relating common and decimal fractions. For example, she said that she had "never thought of 0.2 x 0.3 as 2/10 x 3/10" and just placed the decimal point in the answer 0.06 procedurally, by using the ride of counting the number of places after the decimal point.
The rest of the measurement should then be stated in common or decimal fractions.
23--or, in decimal fractions of a day, as astronomers like to time things, on Feb.
Once the students have mastered body fractions using standard fractions and set values, the activity can be extended to percentages and decimal fractions. Given that one-whole is 100% and one-half is 50% and one-quarter 25%, the students can now show various percentages using their arms.
It showed that the content areas like natural numbers, common fractions, and decimal fractions were given the highest weight 171/2 % each (i.e., 521/2% of the whole content collectively) and the content area of information handling was given the least weight (71/2%).
Some of the mathematics topics addressed are factors, measurement, fractions, decimal fractions, and multiplication.
because it's the closest to 20 and C is around half way which is a 10 so D is closest to 20 (and) 17 is closer to 20 than to 10." Danika's responses illustrate the difficulty that some students have in transferring their knowledge of decimal fractions to number lines.
This could lead them to conjecture that decimal fractions will terminate if their denominator is any combination of powers of 2 and powers of 5.
Certain real-life situations represented by multiplication with mixed numbers, common fractions, or decimal fractions cannot easily be interpreted with the repeated-addition model (Graeber and Campbell 1993).
The reader may also be interested in the Decimat game (Roche, 2010), which uses a similar model and game to assist students' developing understanding of decimal fractions.