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A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there is only a finite number of nonzero digits), the decimal is said to be terminating, and is not considered as repeating.
The repeating decimal commonly written as 0.999... represents exactly the same quantity as the number one. Despite having the appearance of representing a smaller number, 0.999... is a symbol for the number 1 in exactly the same way that 0.333... is an equivalent notation for the number represented by the fraction 1 ⁄ 3. [446]
The set of rational numbers includes all integers, which are fractions with a denominator of 1. The symbol of the rational numbers is Q {\displaystyle \mathbb {Q} } . [ 19 ] Decimal fractions like 0.3 and 25.12 are a special type of rational numbers since their denominator is a power of 10.
It breaks down a division problem into a series of easier steps. As in all division problems, one number, called the dividend, is divided by another, called the divisor, producing a result called the quotient. It enables computations involving arbitrarily large numbers to be performed by following a series of simple steps. [1]
When rolling two standard six-sided dice, seven has a 1 in 6 probability of being rolled, the greatest of any number. [39] The opposite sides of a standard six-sided die always add to 7. The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000. [ 40 ]
Dr Seuss' ABC appeared in the collection Adventure Workshop: Preschool-1st Grade, and Tots. [214] In 1998-9, Living Books launched the series into German. [ 215 ] In 1999, The Learning Company released a reworked version of Arthur's Reading Race as Arthur's Reading Games (1997) under their Creative Wonders label, which brought the reading games ...
Texts such as the Rhind Mathematical Papyrus and the Moscow Mathematical Papyrus show that the ancient Egyptians could perform the four basic mathematical operations—addition, subtraction, multiplication, and division—use fractions, [54] knew the formula to compute the volume of a frustum, and calculate the surface areas of triangles ...