An Elementary Arithmetic: Designed for Academies and Schools : Also, Serving as an Introduction to the Higher Arithmetic |
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Page 142
... extremes be divided by either mean , the quotient will be the other mean . Also , if the product of the means be divided by either extreme , the quotient will be the other extreme . From the above properties , we see that if any three ...
... extremes be divided by either mean , the quotient will be the other mean . Also , if the product of the means be divided by either extreme , the quotient will be the other extreme . From the above properties , we see that if any three ...
Page 143
... extremes ? Which are called means ? To what is the product of the extremes equal ? If the product of the extremes be divided by one of the means , what will the quotient be ? If the product of the means be divided by one of the extremes ...
... extremes ? Which are called means ? To what is the product of the extremes equal ? If the product of the extremes be divided by one of the means , what will the quotient be ? If the product of the means be divided by one of the extremes ...
Page 218
... extremes , is equal to the sum of the extremes . Hence , it follows that the terms will average just half the sum of the extremes . Therefore , when we have given the first term , the last term , and the number of terms , to find the ...
... extremes , is equal to the sum of the extremes . Hence , it follows that the terms will average just half the sum of the extremes . Therefore , when we have given the first term , the last term , and the number of terms , to find the ...
Page 220
... the number of terms , we have this RULE . Divide the difference of the extremes by the common dif ference , and to the quotient , add one . EXAMPLES . 1. The first term of an arithmetical progression 220 ARITHMETICAL PROGRESSION .
... the number of terms , we have this RULE . Divide the difference of the extremes by the common dif ference , and to the quotient , add one . EXAMPLES . 1. The first term of an arithmetical progression 220 ARITHMETICAL PROGRESSION .
Page 221
... extremes is 176- 5 = 171 ; this , divided by the common difference , gives 17157 ; this , increased by 1 , becomes 58 , for the num- ber of terms required . 2. The first term of an arithmetical progression is 11 , the last term 88 , and ...
... extremes is 176- 5 = 171 ; this , divided by the common difference , gives 17157 ; this , increased by 1 , becomes 58 , for the num- ber of terms required . 2. The first term of an arithmetical progression is 11 , the last term 88 , and ...
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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.