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Conversely the period of the repeating decimal of a fraction c / d will be (at most) the smallest number n such that 10 n − 1 is divisible by d. For example, the fraction 2 / 7 has d = 7, and the smallest k that makes 10 k − 1 divisible by 7 is k = 6, because 999999 = 7 × 142857. The period of the fraction 2 / 7 is ...
[7] Arithmetic is closely related to number theory and some authors use the terms as synonyms. [8] However, in a more specific sense, number theory is restricted to the study of integers and focuses on their properties and relationships such as divisibility, factorization, and primality. [9] Traditionally, it is known as higher arithmetic. [10]
Fractions such as 22 / 7 and 355 / 113 are commonly used to approximate π, but no common fraction (ratio of whole numbers) can be its exact value. [21] Because π is irrational, it has an infinite number of digits in its decimal representation , and does not settle into an infinitely repeating pattern of digits.
Fractions are written as two integers, the numerator and the denominator, with a dividing bar between them. The fraction m / n represents m parts of a whole divided into n equal parts. Two different fractions may correspond to the same rational number; for example 1 / 2 and 2 / 4 are equal, that is:
Viscosity is a measure of a fluid's rate-dependent resistance to a change in shape or to movement of its neighboring portions relative to one another. [1] For liquids, it corresponds to the informal concept of thickness; for example, syrup has a higher viscosity than water. [2]
When Chris is the only boy without a date for the 9th-grade dance, Greg suggests he ask out Carrie but when he does, word spreads of the inter-racial couple. Tonya asks Rochelle if she can take ballet lessons. Julius's brother, Ryan , decides to start an auto parts business and he asks Julius and Drew to join in on the business.
Blood pH is regulated to stay within the narrow range of 7.35 to 7.45, making it slightly basic (compensation). [17] [18] Extra-cellular fluid in blood that has a pH below 7.35 is too acidic, whereas blood pH above 7.45 is too basic. [16] A pH below 6.9 or above 7.8 is usually lethal. [16]
The Chipmunks' new school year starts, and Alvin immediately develops a crush on the new principal. However, to get past the principal's assistant, who is none other than Brittany,the leader of the Chipettes, Alvin misbehaves on purpose and throws his classes into chaos in order to get summoned to her office.
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