Higher Arithmetic: Or the Science and Application of Numbers, Combining the Analytic and Synthetic Modes of Instruction ... |
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Page ix
... Divisor , two methods , 100 Least Common Multiple , three methods , 102 SECTION VII . FRACTIONS , 107 General principles pertaining to Fractions , 109 Reduction of Fractions , 111 Addition of Fractions , 119 Subtraction of Fractions ...
... Divisor , two methods , 100 Least Common Multiple , three methods , 102 SECTION VII . FRACTIONS , 107 General principles pertaining to Fractions , 109 Reduction of Fractions , 111 Addition of Fractions , 119 Subtraction of Fractions ...
Page 18
... divisor under the dividend , in the form of a fraction . Thus , the expression 35 , shows that 35 is to be divided by 7 , and is equivalent to 35 + 7 . 26. The equality between two numbers or quantities , is rep- resented by two ...
... divisor under the dividend , in the form of a fraction . Thus , the expression 35 , shows that 35 is to be divided by 7 , and is equivalent to 35 + 7 . 26. The equality between two numbers or quantities , is rep- resented by two ...
Page 66
... divisor . The number obtained by division , or the answer to the question , is called the quotient . It shows how many times the divisor is contained in the dividend . Hence , it may be said , 112. Division is finding a quotient , which ...
... divisor . The number obtained by division , or the answer to the question , is called the quotient . It shows how many times the divisor is contained in the dividend . Hence , it may be said , 112. Division is finding a quotient , which ...
Page 67
... divisor ; for , if it were equal to , or greater than the divisor , the divisor could be contained once more in the dividend . 114. It will be perceived that division is similar in principle to subtraction , and may be performed by it ...
... divisor ; for , if it were equal to , or greater than the divisor , the divisor could be contained once more in the dividend . 114. It will be perceived that division is similar in principle to subtraction , and may be performed by it ...
Page 68
... divisor 4 , is not contained in 2 , the first figure of the dividend , we find how many times it is contained in the ... divisor thus , place it on the right of the quotient , Note . - To prefix means to place before , or at the left ...
... divisor 4 , is not contained in 2 , the first figure of the dividend , we find how many times it is contained in the ... divisor thus , place it on the right of the quotient , Note . - To prefix means to place before , or at the left ...
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Common terms and phrases
acres added amount annexed answer required apiece Arithmetic avoirdupois barrels bbls bought bushels called canceling ciphers CIRCULATING DECIMALS column common fraction composite number compound numbers cost cube cubic inches decametre decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given dividend given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured least common multiple less number method miles mills mixed number months multiplicand Multiply notation Operation partial product payable pence period pounds present worth prime factors prime number principle quantity quotient radix rate per cent ratio remainder right hand figure rods root shillings simple fraction sold square subtract thousandths Troy Troy pound Troy weight units weight whole number wine measure yard
Popular passages
Page 363 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 109 - 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 given numerator.
Page 95 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Page 98 - A common multiple of two or more numbers, is a number which can be divided by each of them without a remainder. Thus, 12 is a common multiple of 2, 3, and 4 ; 15 is a common multiple of 3 and 5, &c.
Page 17 - It shows that the numbers between which it is placed are to be multiplied together ; thus, the expression 7 x 5 = 35 is read, 7 multiplied by 5 is equal to 35.
Page 373 - When four numbers are in arithmetical progression the sum of the extremes is equal to the sum of the means. Thus, if 5—3 = 9—7, then will 5+7=3+9.
Page 354 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Page 142 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_
Page 386 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 360 - 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.