Arithmetic: In which the Principles of Operating by Numbers are Analytically Explained and Synthetically Applied : Illustrated by Copious Examples |
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Page 10
... Note 1. These nine char- acters are called significant figures , because they each represent some number . Sometimes , also , they are called digits . Note 2. The value of these figures , as here shown , It is their value always when is ...
... Note 1. These nine char- acters are called significant figures , because they each represent some number . Sometimes , also , they are called digits . Note 2. The value of these figures , as here shown , It is their value always when is ...
Page 11
... Note . Twenty , thirty , & c . , are contractions for two tens , three tens , & c . the units of the 2d order , to form the numbers from 10 to 20 , from 20 to 30 , to 40 , and so on to 99 , which is the largest number that can be ...
... Note . Twenty , thirty , & c . , are contractions for two tens , three tens , & c . the units of the 2d order , to form the numbers from 10 to 20 , from 20 to 30 , to 40 , and so on to 99 , which is the largest number that can be ...
Page 12
... Note . From the fact that 10 is 1 more than 9 , it follows , as may be found by trial , that the local value of every figure at the left of units , except 9 , exceeds a certain number of nines by the simple value of the figure . Take ...
... Note . From the fact that 10 is 1 more than 9 , it follows , as may be found by trial , that the local value of every figure at the left of units , except 9 , exceeds a certain number of nines by the simple value of the figure . Take ...
Page 13
... Note 1. The Ordinal numbers , 1st , 2d , 3d , & c . , may be called indices of their respective orders . Note 2. Various Readings . In the number 546873 , the left hand figure 5 expresses 5 units of the 6th order , or it may be rendered ...
... Note 1. The Ordinal numbers , 1st , 2d , 3d , & c . , may be called indices of their respective orders . Note 2. Various Readings . In the number 546873 , the left hand figure 5 expresses 5 units of the 6th order , or it may be rendered ...
Page 25
... NOTE . We write units under units , tens under tens , & c . , that those of the same unit value may be subtracted from each other ; for we can no more take 3 tens from 7 units than we can take 3 cows from 7 sheep . Examples in which ...
... NOTE . We write units under units , tens under tens , & c . , that those of the same unit value may be subtracted from each other ; for we can no more take 3 tens from 7 units than we can take 3 cows from 7 sheep . Examples in which ...
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Common terms and phrases
acres amount annexing apples arithmetic bought bushels called ciphers common fractions composite number compound interest Compound Numbers contained cord cost cube root cubic decimal fractions diameter divided dividend division dollars equal EXAMPLES FOR PRACTICE expressed factor farthings feet long figure frac gallons Give given number greatest common divisor Hence hogshead hundred hundredths improper fraction inches integers last term length measure merchant miles mills minuend mixed number months multiplicand multiply NOTE number of terms OPERATION oranges paid payment pence pieces pound present worth principal proper fraction proportion pupil quantity quarts Questions Questions.-T quotient rate per cent ratio receive Reduce remainder right hand rule shillings side sold solid feet SOLUTION square miles square root subtraction subtrahend tens tenths third thousandths tion units weight whole number write
Popular passages
Page 146 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 196 - What is the interest of $216'80, at 7 per cent., for 1 month ? for 2 months ? 3 mo. ? 4 mo. ? 5 mo. ? 6 mo. ? 7 mo. ? 8 mo. ? 9 mo.? 10 mo. ? 11 mo.
Page 287 - The first term, ratio , and number of terms given to find the sum of the series. 1. A lady bought 6 yards of silk, agreeing to pay 5 cents for the first yard, 15 for the second, and so on, increasing in a three fold proportion ; what did the whole cost ? SOLUTION.
Page 49 - The number to be divided is called the dividend. The number by which we divide is called the divisor. The number which shows how many times the divisor is contained in the dividend is called the quotient.
Page 236 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 60 - Multiply the last remainder by the first divisor, and to the product add the first remainder ; the sum will be the true remainder.
Page 55 - Multiply the integer of the quotient by the divisor, and to the product add the remainder, if any ; and the result will equal the dividend, if the work is right.
Page 147 - TABLE. 60 seconds (") - make - 1 minute, - marked - ' 60 minutes ----- 1 degree, - - - - - ° 30 degrees ,----- 1 sign, ------ s. 12 signs, or 360 degrees, - 1 circle of the zodiac. Note. Every circle, whether great or small, is divisible into 360 equal parts, called degrees. 71. Reduce 9s. 13° 25
Page 84 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 83 - Fractions. Reduction of fractions is changing them from one form to another without altering their value. To reduce an improper fraction to a whole or mixed number. 1. In 4 halves (J) .of an apple how many whole apples?