## Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ... |

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### Common terms and phrases

acres added amount annexed answer bank barrels begin bought bushels called carry cent ciphers column common fraction compound consequently contained cost cube cubic decimal denominator denotes difference discount divided dividend division divisor dollars dolls duty equal example expressed factors Federal feet figure four fourth gain gallons gals given number greater Hence hundred hundredths inches insured interest least common length less loss lower manner measure method miles mills mixed months multiplicand Multiply Operation paid payable pence period pound present prime principal proceed proportion quantity quotient ratio reason received Reduce remainder right hand rods root rule selling shillings sides simple sold square subtract tens third thousand thousandths units weight whole number worth Write yard

### Popular passages

Page 371 - 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 76 - Cut off as many figures from the right hand of the dividend as there are ciphers in the divisor. The remaining figures of the dividend will be the quotient, and those cut off the remainder.

Page 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.

Page 99 - 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 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 149 - Weight is used by apothecaries and physicians in compounding dry medicines. TABLE. 20 Grains (gr.} = 1 Scruple, . . sc., or 3. 3 Scruples = 1 Dram, . . dr., or 3 . 8 Drams = 1 Ounce, . . oz., or § . 12 Ounces = 1 Pound, . . Ib., or ft,.

Page 206 - 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 44 - PROOF.—Add the remainder to the smaller number ; and if the sum is equal to the larger number, the work is right. OBS. This method of proof depends upon the principle, that the difference between two numbers being added to the less, the sum must be equal to the greater.

Page 368 - 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.

Page 369 - 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.