The North American Arithmetic: Part Second, Uniting Oral and Written Exercises in Corresponding Chapters, Part 2

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Kidder & Cheever, 1852 - Arithmetic

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Page 155 - 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 85 - Two men depart from the same place, and travel in opposite directions, one at the rate of...
Page 171 - To reduce fractions to a common denominator. Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Page 203 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 117 - Multiplication is the operation by which a number is produced, equal to as many times one given number, as there are units in another given number. Division is the operation by which we find how many times one number contains another, — and, by which we divide one given number into as many equal parts, as there are units in another given number. Questions to be answered Orally. (1) How many kinds of operations are practised on numbers? (2) What are they called? (3) What is Addition?
Page 99 - Observe, that the number which we multiply is called the multiplicand; the number by which we multiply is called the multiplier; and the number which we obtain by multiplication is called the product.
Page 98 - ... had he left? 8. A jockey bought a horse for 115 dollars; he exchanged him for a better horse, paying 23 dollars, and then sold the better one for 137 dollars. Did he gain or lose? — and how much? 9. If 654 be subtracted from 10000, and then 29670 be added to the remainder, what will be the sum? 10. A gentleman gave 972 dollars for a carriage and two horses; the carriage was valued at 525 dollars. What was the value of the horses? 11. Dr. Franklin died in the year 1790, and he was 84 years old...
Page 174 - Therefore, when a number is multiplied by a fraction, which is less than 1, the product must be less than the multiplicand. To multiply a whole number by a fraction, — Multiply by the numerator, and divide by the denominator.
Page 186 - 316^| to a decimal expression. CHANGE OF COMPOUND NUMBERS TO DECIMALS. To reduce the lower denominations of a compound number to the decimal of a higher denomination. RULE. Reduce the given quantity to a common fraction, then change this fraction to a decimal. See page 171. 53. Reduce 7s. 6d. to the decimal of a . 54. Reduce 15 shillings to the decimal of a . 55. Reduce 6d. 3qr. to the decimal of a shilling. 56. Reduce 2s. lid. 3qr. to the decimal of a . 57. Reduce 1 farthing to the decimal...
Page 184 - When there are more decimal places in the divisor, than in the dividend, render the places equal, by annexing ciphers to the dividend, before dividing.

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