Arithmetic, theoretical and practical. [With] Key |
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Page 10
... REASON OF THE RULE . - The rule for adding numbers depends on the following obvious principles : 1. That the whole sum is equal to all its parts taken together . 2. That it is only numbers of the same local value that can be added ...
... REASON OF THE RULE . - The rule for adding numbers depends on the following obvious principles : 1. That the whole sum is equal to all its parts taken together . 2. That it is only numbers of the same local value that can be added ...
Page 14
... reason that 1 taken from the one figure is counted as 10 , in adding it to the other , is , that the figure from which the 1 is taken is of a higher rank than the figure to which it is added ; and , consequently , 1 of the former is ...
... reason that 1 taken from the one figure is counted as 10 , in adding it to the other , is , that the figure from which the 1 is taken is of a higher rank than the figure to which it is added ; and , consequently , 1 of the former is ...
Page 15
... REASON OF THE RULE . The reason of the rule may be gathered from the example , combined with the observations made under the Reason of the Rule of Addition . The example , broken up and arranged , may render the operation more obvious ...
... REASON OF THE RULE . The reason of the rule may be gathered from the example , combined with the observations made under the Reason of the Rule of Addition . The example , broken up and arranged , may render the operation more obvious ...
Page 18
... reason for adding the upper line is to accustom the pupil to the carrying . At this stage several questions of the following kind ought to be proposed : -Teacher . If I give 3 nuts to each of 4 boys , how many nuts do I give away ? If I ...
... reason for adding the upper line is to accustom the pupil to the carrying . At this stage several questions of the following kind ought to be proposed : -Teacher . If I give 3 nuts to each of 4 boys , how many nuts do I give away ? If I ...
Page 19
... REASON OF THE RULE . — As multiplication is merely a short method of performing the addition of several equal ... reasons as are explained in Simple Addition , page 10 . 3. Multiply 3051847296 by 2 , 3 , 4 , SIMPLE MULTIPLICATION . 19.
... REASON OF THE RULE . — As multiplication is merely a short method of performing the addition of several equal ... reasons as are explained in Simple Addition , page 10 . 3. Multiply 3051847296 by 2 , 3 , 4 , SIMPLE MULTIPLICATION . 19.
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acres added aged aliquot amount annexed annuity answer bought breadth calculated called cancel carried cent cloth common compound contain converted cost cubic decimal denomination denotes difference divided dividend division divisor equal Example Exercises expressed factors farthings feet figure florins fourth fraction gain gallons given gives greater hence hundred inches interest kind length less lower lowest means measure method miles mixed months multiplied obtained obvious paid pence perform period person piece pound present value principal proportion Pupil purchase quantity question quotient ratio REASON receive reduced remainder rent result root rule selling share shillings Simple sold solid sterling subtract taken third term tons units weight whole worth write written yards
Popular passages
Page 197 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. 5. Double the whole root already found for a new divisor, and continue the operation as before, until all the periods are brought down. NOTE.
Page 34 - To divide by 10, 100, &c., is simply cutting off as many figures from the right of the dividend as there are ciphers in the divisor.
Page 177 - Divide the sum of the products by the sum of the debts, and the quotient will be the average term of credit, estimated from the date selected.
Page 72 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Page 189 - NOTE 3. If in extracting the root of a number there is a remainder, after all the periods have been brought down, periods of ciphers may be annexed by considering them as decimals. EXAMPLES.
Page 70 - An Improper Fraction is one whose numerator is equal to or greater than its denominator ; as, f...
Page 198 - ... in which case ciphers may be annexed, forming new periods, each of which will give one decimal place in the root. 2. What is the square root of 36729 ? 3 67 29(191,64+.
Page 141 - I. To find the interest of any given sum for one year. RULE. Multiply the principal by the rate per eent.
Page 200 - A and B set out to meet each other. A went 3 miles the first day, 5 the second, 7 the third, and so on. B went 4 miles the first day, 6 the second, 8 the third, and so on. In how many days did they meet?
Page 39 - Pendulum vibrating Seconds of Mean Time in the Latitude of London in a Vacuum at the Level of the Sea...