An Elementary Arithmetic: Designed for Academies and Schools : Also, Serving as an Introduction to the Higher Arithmetic |
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Page 14
... of tens , since they represent ten times their sim- ple values . If two zeros are placed at the right of a significant figure , its value becomes increased a hundred fold . Thus : 400 is the same as Four hundred , or one 14 NUMERATION .
... of tens , since they represent ten times their sim- ple values . If two zeros are placed at the right of a significant figure , its value becomes increased a hundred fold . Thus : 400 is the same as Four hundred , or one 14 NUMERATION .
Page 15
... increased a thousand fold . Thus : 4000 is the same as Four thousand , or one thousand times 4 . In the same way we might proceed for a greater number of zeros ; observing that every additional zero increases the preceding value tenfold ...
... increased a thousand fold . Thus : 4000 is the same as Four thousand , or one thousand times 4 . In the same way we might proceed for a greater number of zeros ; observing that every additional zero increases the preceding value tenfold ...
Page 19
... increases its value . 500 35 " D. 1000 66 " M. 2000 5000 15 " MM . A bar ( - ) over any number , increases it 1000 fold . K V By what means did the Romans express numbers ? In NUMERATION . 19 Roman Notation.
... increases its value . 500 35 " D. 1000 66 " M. 2000 5000 15 " MM . A bar ( - ) over any number , increases it 1000 fold . K V By what means did the Romans express numbers ? In NUMERATION . 19 Roman Notation.
Page 26
... increased the 4 of the sub- trahend by 1. The work will then be the same as in the third operation , which gives the same difference as before . OPERATION . Hundreds . σ Units . 7 9 6 minuend . 375 subtrahend . 4 2 1 difference . FIRST ...
... increased the 4 of the sub- trahend by 1. The work will then be the same as in the third operation , which gives the same difference as before . OPERATION . Hundreds . σ Units . 7 9 6 minuend . 375 subtrahend . 4 2 1 difference . FIRST ...
Page 27
... increased by 10. Before proceeding to subtract the next figure of the subtrahend , we must increase it by 1 . 3. Subtract 3942 from 5678 . FIRST OPERATION . SECOND OPERATION . Thousands . Hundreds Tens . ∞ Units . Thousands . Hundreds ...
... increased by 10. Before proceeding to subtract the next figure of the subtrahend , we must increase it by 1 . 3. Subtract 3942 from 5678 . FIRST OPERATION . SECOND OPERATION . Thousands . Hundreds Tens . ∞ Units . Thousands . Hundreds ...
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Common terms and phrases
1st column acres amount annexing arithmetical progression barrels Bought bushels called cancelling carats cents per pound ciphers coined common difference contained cords cost cube root currency DECIMAL FRACTIONS decimal places decimal point denominate numbers denominate value different denominations dimes discount Divide dividend division dollars equal equivalent fractions EXAMPLES expressed factors farthings Federal money foot geometrical progression give given greatest common divisor Hence hogsheads hundred hundredths improper fraction interest of $1 last term least common denominator least common multiple less lowest terms MEASURE method miles Millions mills minuend mixed number multiplicand number of decimal number of terms obtain OPERATION ounces payment pence present worth principal proceed quantities quotient rate per cent ratio Reduce remainder Repeat the Rule rods second term Septillions shillings simple value square root subtract subtrahend Tens tenths third term Thousands Thousandths trial divisor Troy Weight unit vulgar fraction weight whole number wTens
Popular passages
Page 77 - 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 38 - 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 166 - Multiply the interest of $1 for the given time and given rate per cent., by the number of dollars in the principal.
Page 57 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 108 - Then multiply all the numerators together for a new numerator, and all the denominators together for a new denominator...
Page 161 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal ; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due...
Page 78 - TABLE. 60 seconds (") make 1 minute,...'. 60 minutes " 1 degree, . . . °. 30 degrees " 1 sign S. 12 signs, or 360°,
Page 161 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Page 195 - To raise a number to any power, we have the following RULE. Multiply the number continually by itself, as many times less one as there are units in the exponent ; the last product will be the power sought.
Page 94 - Multiply the number in the lowest denomination by the multiplier, and find how many units of the next higher denomination are contained in the product, setting down what remains.