Rational arithmetic |
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Page 16
... equals be added to two numbers , their difference will still be the same as before these were added . Now , no doubt , this would have been very easy , but still there is a sim- pler way of arriving at the same result ; and I believe it ...
... equals be added to two numbers , their difference will still be the same as before these were added . Now , no doubt , this would have been very easy , but still there is a sim- pler way of arriving at the same result ; and I believe it ...
Page 18
... equal to or the same as 10. This is called multiplication , which is simply addition , or adding together the same number , any given number of times . To make this easy to do , you must learn , and store up in your memory , the ...
... equal to or the same as 10. This is called multiplication , which is simply addition , or adding together the same number , any given number of times . To make this easy to do , you must learn , and store up in your memory , the ...
Page 20
... equal to 9 ; and that of these , the one which represents the tens is always one less than the number which is multiplied by 9 : -thus , 6 X 9 54 : here 5 one less than 6 , and 5 and 4 are 9 : 7 x 9 are 63 , here 6 one less than 7 , and ...
... equal to 9 ; and that of these , the one which represents the tens is always one less than the number which is multiplied by 9 : -thus , 6 X 9 54 : here 5 one less than 6 , and 5 and 4 are 9 : 7 x 9 are 63 , here 6 one less than 7 , and ...
Page 25
... equal parts ; how many will there be in each ? You must give each one a - piece ; that will be three ; and then give each another , and another , till none are left . And now they are divided into three equal parts , we find there are ...
... equal parts ; how many will there be in each ? You must give each one a - piece ; that will be three ; and then give each another , and another , till none are left . And now they are divided into three equal parts , we find there are ...
Page 26
... equal parts , by putting two of the hundred - counters into each parcel , and each would contain 2 hundred - counters and 8 unit - counters , or 208. We have then very readily found that 624 divided by 3 are equal to 208 . But now , if ...
... equal parts , by putting two of the hundred - counters into each parcel , and each would contain 2 hundred - counters and 8 unit - counters , or 208. We have then very readily found that 624 divided by 3 are equal to 208 . But now , if ...
Common terms and phrases
added addition amount answer apply arithmetic better bring calculations called cent changes common containing continue cost counters cube decimal denomination difference difficult digits divided divisible divisible by 9 divisor eight equal evident exactly example explanation expressed factors feet figures five follows four fractions gallons give given heaps higher hour hundreds increase interest knowledge leave less likewise manner means measure method miles mind multiplied nine noughts obtained once operations parcels perform period piece pounds practice present prime principle proportion proved pupil quantity questions quotient readily reason reduce remainder result root rule shillings shown signs simple square step subtract suppose taken tens tenths term third thousands understand units whole number write 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.