Subtraction sentence example

subtraction
  • Addition is the process of expressing (in numeration or notation) a whole, the parts of which have already been expressed; while, if a whole has been expressed and also a part or parts, subtraction is the process of expressing the remainder.
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  • - To find a square number which remains a square after the addition and subtraction of 5, put to our mathematician in presence of the emperor by John of Palermo, who, perhaps, was quite enough Leonardo's friend to set him such problems only as he had himself asked for.
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  • As an illustration, we may take the elementary processes of addition, subtraction, multiplication and division.
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  • Comparison, Addition and Subtraction of Fractions.-The quantities 4 of A and 7 of A are expressed in terms of different units.
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  • Stifel introduced the sign (+) for addition or a positive quantity, which was previously denoted by plus, pia, or the letter p. Subtraction, previously written as minus, mene or the letter m, was symbolized by the sign (-) which is still in use.
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  • The principle of subtraction from a higher number, which appeared in notation, also appeared in numeration, but not for exactly the same numbers or in exactly the same way; thus XVIII was two-from-twenty, and the next number was onefrom-twenty, but it was written XIX, not IXX.
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  • Carry out column addition and subtraction of numbers involving decimals.
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  • This is due to the fact that there are really two kinds of subtraction, respectively involving counting forwards (complementary addition) and counting backwards (ordinary subtraction); and it suggests that it may be wise not to use the one symbol - to represent the result of both operations until the commutative law for addition has been fully grasped.
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  • This is sometimes treated as a debt of 5s.; an alternative method is to recognize that our zero is really arbitrary, and that in fact we shift it with every operation of addition or subtraction.
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  • Logarithms were originally invented for the sake of abbreviating arithmetical calculations, as by their means the operations of multiplication and division may be replaced by those of addition and subtraction, and the operations of raising to powers and extraction of roots by those of multiplication and division.
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  • 3 For this conception of the gospel and of the officially organized church, our nearest analogy is in Matthew, or rather in the blocks of precepts of the Lord which after subtraction of the Markan narrative framework are found to underlie our first gospel.
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  • Or we might say that, since multiplication is a form of addition, and division a form of subtraction, there are really only two fundamental processes, viz.
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  • The normal process of writing the larger numbers on the left is in certain cases modified in the Roman system by writing a number in front of a larger one to denote subtraction.
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  • Except with very small numbers, addition and subtraction, on the grouping system, involve analysis and rearrangement.
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  • The subtraction of 4 from 9 may mean either " What has to be added to 4 in order to make up a total of 9," or " To what has 4 to be added in order to make up a total of 9."
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  • This is a more advanced method, which leads easily to the idea of negative quantities, if the subtraction is such that we have to go behind the o of the standard series.
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  • There is no difference in principle between addition (or subtraction) of numbers and addition (or subtraction) of numerical quantities.
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  • It would be better described as exchanging, by analogy with the " changing " of subtraction.
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  • Subtraction by counting forward is called complementary addition.
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  • As for the scale of diagrammaticity, the two opposite poles are represented by agglutinative affixation and subtraction respectively.
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  • Digital subtraction angiography For cardiac imaging the contrast medium may be administered intra-arterially by selective catheterisation to provide subtracted images.
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  • Program GRAB is used to perform the necessary subtraction of the maps in order to calculate the differences.
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  • Recently I had an adult returned who was doing subtraction using 'borrow one pay one back ' .
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  • Because of these problems it is often better to use image subtraction or image division for change detection.
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  • However, I believe that the dark frame subtraction does not like FITS files at the moment.
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  • We also did lots of mental subtraction and addition.
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  • He predicts which number you'll choose at the end of a simple subtraction.
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  • These may need to be removed before a good background subtraction can be performed.
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  • You only have to work on the post-edge subtraction.
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  • We now have a suite of five background subtraction programs available!
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  • The sky subtraction aperture is assumed to the 5 times larger than the object aperture.
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  • The use of a variance component allows the effects of noise in bias subtraction to be properly monitored.
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  • Thanks to features like image subtraction, two thermal images can have the temperature of each pixel subtracted from each other.
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  • It is evident that these laws all follow from the idea that a compound molecule can only alter through the addition or subtraction of one or more complete atoms, together with the idea that all the molecules in a pure substance are alike.
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  • (i.) In the case of subtraction the second of these two questions is perhaps the simpler.
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  • The five processes of deduction then reduce to four, which may be described as (i.) subtraction, (ii.) division, (iii.) (a) taking a root, (iii.) (b) taking logarithms. It will be found that these (and particularly the first three) cover practically all the processes legitimately adopted in the elementary theory of the solution of equations; other processes being sometimes liable to introduce roots which do not satisfy the original equation.
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  • - (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 (� 26 (i.)) but differ from them in relating, not to arithmetical value, but to algebraic form.
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  • The deficiencies of the Greek symbolism were partially remedied; subtraction was denoted by placing a dot over the subtrahend; multiplication, by placing bha (an abbreviation of bhavita, the product ") after the factors; division, by placing the divisor under the dividend; and square root, by inserting ka (an abbreviation of karana, irrational) before the quantity.
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  • Girard is inconsistent in his notation, sometimes following Vieta, sometimes Stevin; he introduced the new symbols ff for greater than and � for less than; he follows Vieta in using the plus (+) for addition, he denotes subtraction by Recorde's symbol for equality (=), and he had no sign for equality but wrote the word out.
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  • The numerical relations existing between the trunk series and the branch series make it somewhat difficult to believe that they belong to different vibrating systems. But while we should undoubtedly hesitate on this ground to adopt Fredenhagen's 3 view that the two branch series belong to the element itself and the trunk series to a process of oxidation, we cannot press the argument against the view of Lenard, because the addition or subtraction of an electron introduces two vibrating systems which are still connected with each other and some numerical relationship is probable.
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  • The last table shows the similarities after subtraction of the smallest number found in the table.
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  • Recently I had an adult returned who was doing subtraction using 'borrow one pay one back '.
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  • Later you can use buns for simple addition and subtraction sums.
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  • The effectiveness of the pulse artifact subtraction method is demonstrated in this image.
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  • The carry flag is always set to the value of the carry out of the byte after an addition or subtraction operation.
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  • Children will develop addition and subtraction skills through use of dominoes.
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  • We now have a suite of five background subtraction programs available !
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  • The interior designer should be confident making significant changes to the space, such as the addition or subtraction of non-load bearing walls.
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  • You are shown a mathematical equation that is missing the sign (addition, subtraction, multiplication and division).
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  • Worksheets produced include: addition, subtraction, multiplication, or division.
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  • Teaching multiplication facts should always come before teaching division facts just like teaching addition comes before teaching subtraction.
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  • Other kindergartners will be ready for basic addition and subtraction problems.
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  • Fractions do not always seem as tangible a concept to young students as the mathematical fundamentals of addition, subtraction, multiplication, and division.
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  • Candy subtraction is a kids' math game that uses a small snack to teach subtraction.
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  • Sum Time (ages 8 and up) - This math-based board game emphasizes addition, subtraction, multiplication, and division.
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  • Make it into a fun math game that incorporates addition and subtraction.
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  • A Plus Math offers an assortment of games teaching addition, subtraction, multiplication, division and even some algebra.
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  • Have the children count the remaining number as they eat to enforce the concept of subtraction.
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  • A deck of playing cards can also help teach preschoolers their numbers and work as visual aides for addition and subtraction equations.
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  • Flash cards: These easy-to-use cards are good for drilling multiplication facts, but are available in addition, subtraction and division sets as well.
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  • Candy games: Small candies like M&Ms and Skittles are perfect for practicing addition and subtraction.
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  • Play Kids Games is an interactive site that offers math games in addition, subtraction, multiplication and division.
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  • Test their subtraction skills by letting them eat French fries one by one and counting how many are left.
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  • In the case of a tared filter it is weighed repeatedly until the weight suffers no change; then knowing the weight of the filter paper, the weight of the precipitate is obtained by subtraction.
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  • A master could not enter into a contract with his slave, nor could he accuse him of theft before the law; for, if the slave took anything, this was not a subtraction, but only a displacement, of property.
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  • It is true that we obtain this result by subtracting 3 from io by means of a subtractiontable (concrete or ideal); but this table merely gives the generalized results of a number of operations of addition or subtraction performed with concrete units.
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  • Girard is inconsistent in his notation, sometimes following Vieta, sometimes Stevin; he introduced the new symbols ff for greater than and � for less than; he follows Vieta in using the plus (+) for addition, he denotes subtraction by Recorde's symbol for equality (=), and he had no sign for equality but wrote the word out.
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  • The change of the intrinsic energy in passing from one state to another, as from B to C is represented by the addition of the heat-area H= Bczz', and the subtraction of the work-area W = BCcb.
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  • It is found that the alteration of the tangent elevation is almost insensible, but the quadrant elevation requires the addition or subtraction of the angle of sight.
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  • (i) If we consider that we are dealing with numerical quantities, we must recognize the fact that, while addition and subtraction might in the first instance be limited to such quantities, multiplication and division necessarily introduce the idea of pure number.
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  • - The above method of dealing with addition and subtraction is synthetic, and is appropriate to the grouping method of dealing with number.
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  • But, in attempting the inverse processes of subtraction, division, and either evolution or determination of index, the data may be such that a process cannot be performed.
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  • This cannot be done; but the result of the subtraction, if it could be done, is something which, when 6 is added to it, becomes 3 - 7+6 = 3+6 - 7 = 2.
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  • - In order to deal, by way of comparison or addition or subtraction, with fractions which have different denominators, it is necessary to reduce them to a common denominator.
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  • A marine force was raised to stop smuggling; and the subtraction of coal during coaling operations was stopped by drastic legislation.
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  • The most instructive is to regard the prismoid as built up (by addition or subtraction) of simpler figures, which are particular cases of it.
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  • (b2V2 + n2) (a2 - b 2) = - z It will now be convenient to introduce the quantities a l, a 2', 7731 which express the rotations of the elements of the medium round axes parallel to those of co-ordinates, in accordance with the equations Ty - 1 = dz ' 3= - dy 2 = dx - In terms of these we obtain from (7), by differentiation and subtraction, (b 2 v 2 + n 2) 7,3 = 0 (b 2 0 2 +n 2) .r i = dZ/dy (b 2 v 2 +n 2)', , 2 = - dZ/dx The first of equations (9) gives 3 = 0 (10) For al we have ?1= 47rb2, f dy e Y tkr dx dy dz
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  • Logistic or Proportional Logarithms. - The old name for what are now called ratios or fractions are logistic numbers, so that a table of log (a/x) where x is the argument and a a constant is called a table of logistic or proportional logarithms; and since log (a/x) =log a-log x it is clear that the tabular results differ from those given in an ordinary table of logarithms only by the subtraction of a constant and a change of sign.
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  • (iii) The inclusion of the four processes under one general head fails to indicate the essential difference between addition and multiplication, as direct processes, on the one hand, and subtraction and division, as inverse processes, on the other (§ 59).
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  • If We Count Forwards, Working From The Left, Or Backwards, Working From The Right; While, If We Count Backwards, Working From The Left, Or Forwards, Working From The Right, The Subtraction Is Of 6S.
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  • The unknown he terms arithmos, the number, and in solutions he marks it by the final s; he explains the generation of powers, the rules for multiplication and division of simple quantities, but he does not treat of the addition, subtraction, multiplication and division of compound quantities.
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  • Gaussian logarithms are intended to facilitate the finding of the logarithms of the sum and difference of two numbers whose logarithms are known, the numbers themselves being unknown; and on this account they are frequently called addition and subtraction logarithms. The object of the table is in fact to give log (a =b) by only one entry when log a and log b are given.
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  • The size of the boiler may be increased or diminished by the addition or subtraction of one or more sections; these, being simple in design, are easily fitted together, and should a section become defective it is a simple matter to insert a new one in its place.
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  • (c) The fundamental properties of subtraction and of division are that A - B +B = A and m X m of A = A, since in each case the second operation restores the original quantity with which we started.
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  • The explanation of this property of the base io is evident, for a change in the position of the decimal points amounts to multiplication or division by some power of 10, and this corresponds to the addition or subtraction of some integer in the case of the logarithm, the mantissa therefore remaining intact.
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  • In long division the divisor is put on the left of the dividend, and the quotient on the right; and each partial product, with the remainder after its subtraction, is shown in full.
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