## Arithmetic Sentence Examples

- The association of algebra with
**arithmetic**on the one hand, and with geometry on the other, presents difficulties, in that geometrical measurement is based essentially on the idea of continuity, while**arithmetical**measurement is based essentially on the idea of discontinuity; both ideas being equally matters of intuition. - What are called negative numbers in
**arithmetic**, for instance, are not really negative numbers but negative quantities (ï¿½ 27 (i.)); and the difficulties incident to the ideas of continuity have already been pointed out. - Notation of Multiples.-The above is
**arithmetic**. The only thing which it is necessary to import from algebra is the notation by which we write 2X instead of 2 X X or 2. - 130), nor does Greek
**arithmetic**as represented by these authors and by Iamblichus (end of 3rd century) show any trace of his influence, facts which can only be accounted for by his being later than those**arithmeticians**at least who would have been capable of understanding him fully. - This saves a certain amount of
**arithmetic**, but when the solution is applied in another determination additional calculations are necessary. - It may be regarded as based on
**arithmetic**, or as dealing in the first instance with formal results of the laws of**arithmetical**number; and in this sense Sir Isaac Newton gave the title Universal**Arithmetic**to a work on algebra. - The state supports primary schools (352 in 1905), where reading, writing,
**arithmetic**and history are taught; and separate instruction is given by the Orthodox, Roman Catholic, Jewish and Moslem clergy. - He showed at an early age wellmarked mathematical powers, and his progress was so rapid in
**arithmetic**and geometry that he was soon beyond the guidance not only of his father but of schoolmaster Schulz, who assisted in the mathematical department of his training. - In the native schools - almost all maintained by Christian missions - Zulu and English are taught, the subjects taken being usually reading, writing,
**arithmetic**, grammar, geography and history. - It may be regarded as based on
**arithmetic**, or as dealing in the first instance with formal results of the laws of**arithmetical**number; and in this sense Sir Isaac Newton gave the title Universal**Arithmetic**to a work on algebra. - Some writers have attempted unification by treating algebra as concerned with functions, and Comte accordingly defined algebra as the calculus of functions,
**arithmetic**being regarded as the calculus of values. - It cannot be said that " If A = B, then E=F " is
**arithmetic**, while " If C = D, then E=F " is algebra. - Miscellaneous Developments in
**Arithmetic**. - The following are matters which really belong to**arithmetic**; they are usually placed under algebra, since the general formulae involve the use of letters. - The graphic method may therefore be used in
**arithmetic**for comparing two particular magnitudes of the same kind by comparing the corresponding lengths P and Q measured along a single line OX from the same point O. - The commutative law in
**arithmetic**, for instance, states that adb and b+a, or ab and ba, are equal. - Than the nth root of their product) we show that if any two are unequal their product may be increased, without altering their sum, by making them equal, and that if all the numbers are equal their
**arithmetic**mean is equal to their geometric mean. - As to the teaching of algebra, see references under
**Arithmetic**to works on the teaching of elementary mathematics. - When this fundamental truth had been fully grasped, mathematicians began to inquire whether algebras might not be discovered which obeyed laws different from those obtained by the generalization of
**arithmetic**. The answer to this question has been so manifold as to be almost embarrassing. - Long before I learned to do a sum in
**arithmetic**or describe the shape of the earth, Miss Sullivan had taught me to find beauty in the fragrant woods, in every blade of grass, and in the curves and dimples of my baby sister's hand. - She has nearly finished Colburn's mental
**arithmetic**, her last work being in improper fractions. - In an appendix of forty-one pages he gives his third method, "local
**arithmetic**," which is performed on a chess-board, and depends, in principle, on the expression of numbers in the scale of radix 2. - The
**Arithmetic**consists of three books, entitled-(I) De Computationibus Quantitatum omnibus Logisticae speciebus communium; (2) De Logistica**Arithmetica**; (3) De Logistica Geometrica. - In the Rabdologia the rods are called "virgulae," b'ut in the passage quoted above from the manuscript on
**arithmetic**they are referred to as "bones" (ossa). - It was a long time before decimal
**arithmetic**came into general use, and all through the 17th century exponential marks were in common use. - At the age of ten Patrick was making slow progress in the study of reading, writing and
**arithmetic**at a small country school, when his father became his tutor and taught him Latin, Greek and mathematics for five years, but with limited success. - The Koran, sacred and secular law, logic, poetry,
**arithmetic**, with some medicine and geography, are the chief subjects of study. - Thus, while
**arithmetic**may be defined as that branch of deductive reasoning concerning classes and relations which is concerned with the establishment of propositions concerning cardinal numbers, it must be added that the introduction of cardinal numbers makes no great break in this general science. - Owing to the correspondence between the finite cardinals and the finite ordinals, the propositions of cardinal
**arithmetic**and ordinal**arithmetic**correspond point by point. - The
**arithmetic**of the infinite cardinals does not correspond to that of the infinite ordinals. - The
**arithmetic**of real numbers follows from appropriate definitions of the operations of addition and multiplication. - The addition and multiplication of these "signed" real numbers is suitably defined, and it is proved that the usual
**arithmetic**of such numbers follows. - - (i.) The results of the addition, subtraction and multiplication of multinomials (including monomials as a particular case) are subject to certain laws which correspond with the laws of
**arithmetic**(ï¿½ 26 (i.)) but differ from them in relating, not to**arithmetical**value, but to algebraic form. - They behave exactly like the corresponding symbols in
**arithmetic**; and it follows from this that whatever " meaning " is attached to the symbols of quantity, ordinary algebra includes**arithmetic**, or at least an image of it. - (i.) There are statements, such as A+B = B+A, which are particular cases of the laws of
**arithmetic**, but need not be expressed as such. - For the subjects of this general heading see the articles ALGEBRA; ALGEBRAIC FORMS;
**ARITHMETIC**; COMBINATORIAL ANALYSIS; DETERMINANTS; EQUATION; FRACTION, CONTINUED; INTERPOLATION; LOGARITHMS; MAGIC SQUARE; PROBABILITY. - He taught me Latin grammar principally; but he often helped me in
**arithmetic**, which I found as troublesome as it was uninteresting. - My studies for the first year were English history, English literature, German, Latin,
**arithmetic**, Latin composition and occasional themes. - I study
**Arithmetic**, English Literature and United States History as I did last winter.