Rational arithmetic |
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Page vi
... results are pro- duced . I have therefore endeavoured throughout to awaken the attention of the pupil , and to incite him to the use of his understanding , before any general rule has been given for performing what was to be done . In ...
... results are pro- duced . I have therefore endeavoured throughout to awaken the attention of the pupil , and to incite him to the use of his understanding , before any general rule has been given for performing what was to be done . In ...
Page vii
... result of a conviction , gained by practical experience , that arithmetic can be taught thus with advantage and success . It is my ambitious aim not merely to teach rational arithmetic , but through its means to assist in deve- loping ...
... result of a conviction , gained by practical experience , that arithmetic can be taught thus with advantage and success . It is my ambitious aim not merely to teach rational arithmetic , but through its means to assist in deve- loping ...
Page 8
... matter of some doubt , which has given rise to many learned discussions . The result of these seems , nowever , to be in favour of the latter supposition . CHAPTER II . ADDITION . IF three counters are put RATIONAL ARITHMETIC . Chap . I.
... matter of some doubt , which has given rise to many learned discussions . The result of these seems , nowever , to be in favour of the latter supposition . CHAPTER II . ADDITION . IF three counters are put RATIONAL ARITHMETIC . Chap . I.
Page 16
... result ; and I believe it to be my duty , as an instructor , in this and every case to select that explanation which is the simplest . The same motive influenced me in teaching the foregoing method of addition as well as that of ...
... result ; and I believe it to be my duty , as an instructor , in this and every case to select that explanation which is the simplest . The same motive influenced me in teaching the foregoing method of addition as well as that of ...
Page 47
... result , it will be the same result if you subtract the last number from the second before subtracting that from the first . For example , here are 8 , 7 , and 3 counters ; whether we take 3 from 7 and then take the remaining 4 from 18 ...
... result , it will be the same result if you subtract the last number from the second before subtracting that from the first . For example , here are 8 , 7 , and 3 counters ; whether we take 3 from 7 and then take the remaining 4 from 18 ...
Common terms and phrases
1st fig 1st figure 2nd fig 2nd figure acres added amount answer arithmetic arithmetical progression avoirdupois bers calculations called cent common difference common factor compound quantity contained cost counters cube root cubic debt digits divided divisible by 9 divisor dwts exactly example expressed farthings feet follows fractions gallons geometrical geometrical progression greatest common factor heaps higher number hundreds hundredths improper fraction inches interest last period last term least common multiple likewise manner method miles an hour minute mixed number multiplied nine notation noughts number of changes number of equal number of terms obtained operations ounce parcels pence pounds practice prime numbers proportion pupil questions quotient readily rectangle recurring decimal remainder result rule shillings square root subtract suppose taken tenths tons units weight whole number written yards
Popular passages
Page 69 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Page 99 - It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient.
Page 96 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 194 - Ans. 12 at 2s. 6d., 12 at 3s. 8d., 18 at 4s., and 18 at 4s. 8d. 4". A goldsmith has gold of 17, 18, 22, and 24 carats fine ; how much must he take of each to make it 21 carats fii^e .
Page 210 - Sessa requested that he might be allowed one grain of wheat for the first square on the chess board, 2 for the second, 4 for the third, and so on, doubling continually, to 64, the whole number of squares. Now, supposing, a pint to contain 7680 of these grains, and one quarter or 8 bushels to be worth yja 6d, it is required to compute the value of all the corn ? Ans.
Page 199 - A person travelling into the country, went 3 miles the first day, and increased every day by 5 miles, till at last he went 58 miles in one day : how many days did he travel ? Ans.
Page 198 - The sum of all the terms. Any three of which being given, the other two may be found.
Page 184 - Multiply each payment by the time, at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the time required.
Page 211 - Many vegetable productions, if all their seeds were put into the earth, would in a few years cover the.whole surface of the globe. The hyosciamus, which of all the known plants produces perhaps the greatest number of seeds, would for this purpose require no more than four years. According to some experiments, it has been found that one stem of the hyosciamus produces sometimes more ; than 50000 seeds...
Page 108 - Explain why, in the multiplication of two decimals, the number of decimal places to be pointed off in the product is equal to the sum of the decimal places in the multiplicand and multiplier.