Higher Arithmetic, Or, the Science and Application of Numbers: Combining the Analytic and Synthetic Modes of Instruction : Designed for Advanced Classes in Schools and Academies |
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Page 14
... mixed . In pure mathematics , quantities are considered , independently of any substances actually existing . In mixed mathematics , the relations of quantities are investi- gated in connection with some of the properties of matter , or ...
... mixed . In pure mathematics , quantities are considered , independently of any substances actually existing . In mixed mathematics , the relations of quantities are investi- gated in connection with some of the properties of matter , or ...
Page 108
... mixed number is a whole number and a fraction expressed together ; as , 4 , 251 . A simple fraction is a fraction which has but one numerator and one denominator , and may be proper , or improper ; as , 3 , 4 . A compound fraction is a ...
... mixed number is a whole number and a fraction expressed together ; as , 4 , 251 . A simple fraction is a fraction which has but one numerator and one denominator , and may be proper , or improper ; as , 3 , 4 . A compound fraction is a ...
Page 112
... mixed number . Analysis . - The object in this example , is to find a whole , or mixed number , whose value is equal to the given fraction . Now , since 7 Operation . 7 ) 23 34 Ans QUEST . - Obs . What is meant by the expression ...
... mixed number . Analysis . - The object in this example , is to find a whole , or mixed number , whose value is equal to the given fraction . Now , since 7 Operation . 7 ) 23 34 Ans QUEST . - Obs . What is meant by the expression ...
Page 113
... mixed nomber . Divide the numerator by the denominator , and the quotient will be the whole , or mixed number required . 20. Reduce to a whole or mixed number . Ans . 6 . Reduce the following fractions to whole or mixed numbers : 21 ...
... mixed nomber . Divide the numerator by the denominator , and the quotient will be the whole , or mixed number required . 20. Reduce to a whole or mixed number . Ans . 6 . Reduce the following fractions to whole or mixed numbers : 21 ...
Page 119
... Mixed numbers may be reduced to improper fractions , and then be added according to the rule ; or , we may add the whole numbers and fractional parts separately , and then unite their sums . 3. In many instances the operation may be ...
... Mixed numbers may be reduced to improper fractions , and then be added according to the rule ; or , we may add the whole numbers and fractional parts separately , and then unite their sums . 3. In many instances the operation may be ...
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Common terms and phrases
acres amount Analysis annexed answer required Arithmetic avoirdupois bank discount barrel bbls bought bushels called canceling ciphers CIRCULATING DECIMALS common denominator common fraction composite number compound numbers contains cost decimal figures decimal places denotes difference dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gain gallons gals given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured interest of $1 least common multiple miles millionths mills mixed number months multiplicand Multiply number of days number of terms Operation paid partial product payable pence period pound premium present worth prime factors principal proportion pwts quantity quotient rate per cent ratio remainder rods shillings sold subtract tenths thousandths Troy Troy pound Troy weight units usury weight whole number wine measure yard
Popular passages
Page 373 - Now (4)2+(3)2=25 sq. ft. ; and the square described on BC also contains 25 sq. ft. Hence, the square described on the hypothenuse of any right-angled triangle, is equal to the sum of the squares described on the other two sides.
Page 374 - A mean proportional between two numbers is equal to the square root of their product.
Page 272 - ... the interest on this amount for the next year, or specified time, and add it to the principal as before. Proceed in this manner with each successive year...
Page 265 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above ; and, in like manner, from one payment to another, till all the payments are absorbed; provided the time between one payment and another be one year or more.
Page 385 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 will be the number of terms.
Page 68 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 338 - X 5'" = 20"'". Hence the RULE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier...
Page 208 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 263 - 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, and then the surplus is to be applied towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.
Page 370 - 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.