Higher Arithmetic: Or the Science and Application of Numbers, Combining the Analytic and Synthetic Modes of Instruction ... |
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Results 1-5 of 30
Page 42
... lower number is larger than that above it , and consequently cannot be taken from it . Ex . 3. What is the difference between 94 and 56 ? Analytic solution . 94 = 80 + 14 56 50+ 6 Rem . 38 = 30 + 8 It is manifest that we cannot take 6 ...
... lower number is larger than that above it , and consequently cannot be taken from it . Ex . 3. What is the difference between 94 and 56 ? Analytic solution . 94 = 80 + 14 56 50+ 6 Rem . 38 = 30 + 8 It is manifest that we cannot take 6 ...
Page 43
... lower order , makes ten ; we then take one from the ten and add it to the upper figure , and proceed as before . 70 ... lower number it becomes 6 tens ; and 6 from 9 leaves 3 , which is the same as 5 from 8. The answer is 38 , the same ...
... lower order , makes ten ; we then take one from the ten and add it to the upper figure , and proceed as before . 70 ... lower number it becomes 6 tens ; and 6 from 9 leaves 3 , which is the same as 5 from 8. The answer is 38 , the same ...
Page 44
... lower number from the figure above it , and set the remainder directly under the figure subtracted . ( Art . 71. Obs . 3. ) III . When a figure in the lower number is larger than that above it , add 10 to the upper figure ; then ...
... lower number from the figure above it , and set the remainder directly under the figure subtracted . ( Art . 71. Obs . 3. ) III . When a figure in the lower number is larger than that above it , add 10 to the upper figure ; then ...
Page 47
... lower number cannot be taken from II in the upper number ; we therefore borrow a V , which added to the II , makes IIIIIII ; then IIII from IIIIIII , leaves III , which we set down . Now since we have borrowed the V in the upper number ...
... lower number cannot be taken from II in the upper number ; we therefore borrow a V , which added to the II , makes IIIIIII ; then IIII from IIIIIII , leaves III , which we set down . Now since we have borrowed the V in the upper number ...
Page 69
... lower order , before the division can be performed . 2. The divisor is placed on the left of the dividend , and the quotient under it , merely for the sake of convenience . When division is represented by the sign , the divisor is ...
... lower order , before the division can be performed . 2. The divisor is placed on the left of the dividend , and the quotient under it , merely for the sake of convenience . When division is represented by the sign , the divisor is ...
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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.