The North American Arithmetic: uniting oral and written exercises, in corresponding chapters. Part second

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J. Jewett, 1833 - Arithmetic - 191 pages
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Page 171 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms. 1. Reduce f of 5 to a simple fraction.
Page 157 - 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 101 - 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 131 - MEASURE is used by grocers and others, for measuring wine, oil, molasses, and most other liquids. 4 gills (gi.) make 1 pint. pt. 2 pints make 1 quart. qt. 4 quarts make 1 gallon. gal. 31^ gallons make 1 barrel. bl. 42 gallons make 1 tierce. tier. 63 gallons make 1 hogshead. hhd.
Page 139 - Place the remainder under the column added, and carry the quotient to the next column.
Page 170 - Divide the greater number by the less, and that divisor by the remainder, and so on ; always dividing the last divisor by the last remainder, till nothing remains ; the last divisor is the greatest common divisor required.
Page 108 - ... the 6 units; thus, 3 in 3, once; 3 in 9, 3 times; 3 in 6, 2 times. Observe in the above example, that the 3 which we first divide, means 3 hundred; and the 1 which we place under it means 1 hundred, showing that 3 is contained in 300, 100 times. The 9 means 9 tens, and the 3 which we place under it means 3 tens, showing, that 3 is contained in 90, 30 times. A Dividend is a number which is to be divided; such is the number 396 in the above example.
Page 184 - RULE. Multiply as in whole numbers, and from the right hand of the product point off as many figures for decimals as there are decimal places in both factors.
Page 111 - This 2 is a re 1Q 2 mainder; it shows that there are 2 hats, • which cannot be divided into eights. 55. How many sheep, at 4 dollars a head, can a butcher, who has 747 dollars buy; and how many dollars will he have remaining ? 56. If 5 yards of cloth will make a suit of clothes, how many suits can be made from 96 yards; and how many yards will there be over ? 57. How many times is 6 contained in 4637; and how many are there over ? 58.
Page 176 - Either ,multiply the numerator, or divide the denominator. To divide a fraction by a whole number, — Either divide the numerator, or multiply the denominator. When a number is multiplied by 1 , the product is equal to the multiplicand. 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.

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