Arithmetic, theoretical and practical. [With] Key |
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Page 9
... carry the other figure or figures , if any , to the next column . 3. Proceed in the same way with the other columns in succession , adding in each case any figures carried from the previous column ; on adding the last column , put down ...
... carry the other figure or figures , if any , to the next column . 3. Proceed in the same way with the other columns in succession , adding in each case any figures carried from the previous column ; on adding the last column , put down ...
Page 10
... carried for every ten , because , from the nature of notation , ten units in any one column is equal to one only in the column immediately to the left of it . PROOF . - To check the correctness of the addition , count the columns ...
... carried for every ten , because , from the nature of notation , ten units in any one column is equal to one only in the column immediately to the left of it . PROOF . - To check the correctness of the addition , count the columns ...
Page 14
... carrying I to the under figure . The several remainders that have been written down form the answer , or difference between the two lines . The 10 that is here added is got by taking , or borrowing , as it is called , 1 from the next ...
... carrying I to the under figure . The several remainders that have been written down form the answer , or difference between the two lines . The 10 that is here added is got by taking , or borrowing , as it is called , 1 from the next ...
Page 15
... carry 1 to the next under figure 5 , and say , 6 from 3 , I cannot , but 6 from 13 and 7 remain , then carrying 1 to 6 , 7 from 10 and 3 remain , 10 from 10 and 0 remains , 9 from 2 I cannot , but 9 from 12 and 3 remain , 2 from 3 and 1 ...
... carry 1 to the next under figure 5 , and say , 6 from 3 , I cannot , but 6 from 13 and 7 remain , then carrying 1 to 6 , 7 from 10 and 3 remain , 10 from 10 and 0 remains , 9 from 2 I cannot , but 9 from 12 and 3 remain , 2 from 3 and 1 ...
Page 17
... carried on by means of the following Multiplication Table , which shews the numbers obtained by multiplying together any two numbers up to 12 . The table should be carefully committed to memory , as a knowledge of it is of great value ...
... carried on by means of the following Multiplication Table , which shews the numbers obtained by multiplying together any two numbers up to 12 . The table should be carefully committed to memory , as a knowledge of it is of great value ...
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Common terms and phrases
acres aliquot amount annexed annuity answer required bought breadth calculated cancel ciphers cloth common denominator compound interest compound numbers contain converted cube root cubic debt decimal places denote discount divided dividend division equal Example Example.-What Exercises Exercises.-What farthings find the price Find the value florins foot fourth gain gallons given number given sum guineas hence highest denomination inches insured integer last figure least common multiple lower denomination lowest terms measure miles mixed numbers months multiplicand multiplied number of days number of terms ounce partial divisor pence period places of decimals policy-duty pound premium present value present worth Pupil quantity quotient rate per cent ratio reckoned recurring decimal remainder rent result rule RULE.-Multiply selling price share Simple Proportion sold solid square feet square root sterling subtract tare third term tons VULGAR FRACTIONS weight whole number 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...