Rational arithmetic |
From inside the book
Results 1-5 of 31
Page 12
... brings it quite to its proper place below this . If we have three or more heaps of counters to add up , we should do precisely the same with them as we should do with two . First add all the units together , changing every ten units ...
... brings it quite to its proper place below this . If we have three or more heaps of counters to add up , we should do precisely the same with them as we should do with two . First add all the units together , changing every ten units ...
Page 29
... bring down the next figure in value : thus to the 3 tens we bring down the 4 units ; and so we have now to find how many times the divisor is contained in this second number ; in this case we find that 23 is contained only once in 34 ...
... bring down the next figure in value : thus to the 3 tens we bring down the 4 units ; and so we have now to find how many times the divisor is contained in this second number ; in this case we find that 23 is contained only once in 34 ...
Page 57
... bring the expression at once to this form X and then we can readily judge whether it will suit the par- ticular question to divide or multiply first . Now , let us apply the foregoing to practice . You readily found out , some time back ...
... bring the expression at once to this form X and then we can readily judge whether it will suit the par- ticular question to divide or multiply first . Now , let us apply the foregoing to practice . You readily found out , some time back ...
Page 89
... the same 8 5 3 3 x 5 15 2 as 8 x 5'8 will be equal to = and will 8 x 5 40 ' 5 2 x 8 16 be equal to = This is called bringing the two 5 x 8 40 fractions to a common denominator , and in the same Chap . IV . 89 FRACTIONS .
... the same 8 5 3 3 x 5 15 2 as 8 x 5'8 will be equal to = and will 8 x 5 40 ' 5 2 x 8 16 be equal to = This is called bringing the two 5 x 8 40 fractions to a common denominator , and in the same Chap . IV . 89 FRACTIONS .
Page 90
... bring and 7 2 x 11 7 x 11 6 x 7 11 x 7 = = 6 22 77 42 77 to a common denominator . = first fraction . = second fraction . The process is exactly the same when there are three or more fractions to be brought to a common denominator ...
... bring and 7 2 x 11 7 x 11 6 x 7 11 x 7 = = 6 22 77 42 77 to a common denominator . = first fraction . = second fraction . The process is exactly the same when there are three or more fractions to be brought to a common denominator ...
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.