Algebraic exercises1828 - Algebra - 120 pages |
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6lbs added to nine added to sixty addition Algebra apples Arithmetic Avoirdupois called correct difference ditto Divide the number divided by 16 dividend division divisor dollars drams dred eight equation example expressing the number find the sum Find two numbers find x five following surds fore four fraction gallons gallons=1 give given number goes greater number gression highest denomination hour hundred and ninety larger number lastly less number LESSON let us add mainder method metic miles miles per hour multiplicand multiply 467 nine hundred number of hundreds number of tens number of units numbers whose sum observe obtain operation ounces pence pint pounds QUADRATIC EQUATIONS quarts quest reduce Required the value rule second number shew smaller number square subtract 60 Suppose tained things three numbers top line unit rank unknown quantity upper line whole product whole quotient whole remainder whole sum wish to know word yards
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Page iv - But if the upper figure be less than the lower, add ten to the upper figure, take the lower figure from the amount, set down the remainder and carry one to the next lower figure.
Page 69 - SIXTH CLASSES. 1. Prove that in the multiplication of decimals, there are as many decimal places in the product as in the multiplier and multiplicand together. 2. Find two numbers, such that if % of the less be added to -\ of the greater, the sum will be 7; but if j of the greater be taken from the less, the remainder will be 2.
Page 71 - B. set out at the same time, and met each other, after travelling as many days as are equal to the difference of the number of miles they travelled per day ; when 'it appears that A has travelled 216 miles. How many miles did each travel per day ? Ans. A went 36, and B 30.
Page 47 - 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 72 - It is required to divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5. Ans. 20 and 40 6.
Page 68 - To find a number consisting of three places, whose digits are in arithmetical progression; if this number be divided by the sum of its digits, the quotient will be 48 ; and if from the number be subtracted 198, the digits will be inverted.
Page 81 - Find a number consisting of three digits, such, that the sum of the squares of the digits, without considering their position, may be 104 ; but the square of the middle digit exceeds twice the product of the other two by 4 ; farther, if 594 be subtracted from the number sought, the three digits are inverted.
Page 64 - OD condition of having a farthing for the first nail in his shoes, a halfpenny for the second, a penny for the third, twopence for the fourth, and so on, doubling the price of every nail, to 32, the number of nails in his four shoes ; what would the horse be sold for at that rate ? Ans.
Page 81 - What two numbers are they, whose difference is 8, and the sum of whose squares is 544? Ans. 12 and 20 ; or — 12 and —20.
Page 72 - Ans. 18 and 6. 13. In a mixture of rum and brandy, the difference between the quantities of each, is to the quantity of brandy, as 100 is to the number of gallons of rum ; and the same difference is to the quantity of rum, as 4 to the number of gallons of brandy.