The North American Arithmetic: Uniting Oral and Written Exercises, in Corresponding Chapters. Part second |
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Page 4
... solutions- their reasoning should be their own . By a little practice , they will acquire an astonishing acuteness of apprehension , and facility of expression , ORAL ARITHMETIC . CHAPTER I. NUMERATION . SECTION 1 . PREFACE .
... solutions- their reasoning should be their own . By a little practice , they will acquire an astonishing acuteness of apprehension , and facility of expression , ORAL ARITHMETIC . CHAPTER I. NUMERATION . SECTION 1 . PREFACE .
Page 5
... SECTION 1 . WHEN We have a large number of articles to count , such as quills , nuts , cents , & c . , we may , if we please , count them by tens . Let us suppose we have a quantity of cents before us , and proceed to count them as ...
... SECTION 1 . WHEN We have a large number of articles to count , such as quills , nuts , cents , & c . , we may , if we please , count them by tens . Let us suppose we have a quantity of cents before us , and proceed to count them as ...
Page 7
... SECTION 2 . If one hundred scholars were in school , and one scholar more should come in , the number of scholars would then be one hundred and one ; and would be ex- pressed in figures thus ; -101 . Again , if you had one hundred books ...
... SECTION 2 . If one hundred scholars were in school , and one scholar more should come in , the number of scholars would then be one hundred and one ; and would be ex- pressed in figures thus ; -101 . Again , if you had one hundred books ...
Page 10
... SECTION 2 . 1. Two little boys went into a shop to be weighed . The oldest of them weighed 40 pounds , and the youngest , 30 pounds . How many pounds would they weigh both together ? Solution . 40 is the same as 4 tens , and 30 is the ...
... SECTION 2 . 1. Two little boys went into a shop to be weighed . The oldest of them weighed 40 pounds , and the youngest , 30 pounds . How many pounds would they weigh both together ? Solution . 40 is the same as 4 tens , and 30 is the ...
Page 11
... SECTION 3 . 1. A gardener called three boys to the garden gate to give them some grapes . To the first boy he gave 40 grapes , and to the second 40 ; but the third boy attempted to push the others aside , and the gardener seeing it ...
... SECTION 3 . 1. A gardener called three boys to the garden gate to give them some grapes . To the first boy he gave 40 grapes , and to the second 40 ; but the third boy attempted to push the others aside , and the gardener seeing it ...
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Common terms and phrases
1-eighth 1-fifth 1-fourth 1-ninth 1-seventh 1-sixth 1-tenth 1-third 12 dollars 30 dollars 9 cents 9 dollars acre of land acre produce annum Arithmetic barrels of flour bought bushels of corn cask cents a pound cents apiece ciphers column common denominator contained cows cubic decimal dimes divided equally dividend divisor dollar will pay dollars apiece drams DRY MEASURE earn example expressed farmer farthings feet figure fraction gallons gave greatest common divisor hogshead horse hund hundred improper fraction inches interest lars learner lowest terms MEASURE merchant molasses months multiplicand Multiply Note to Teachers orange ounces paid pence perform piece pile prove the operation quarts quills quire quotient Recite Reduce remainder rods scholar SECTION sell sheep shillings slate sold Solution Subtract sugar Suppose tens thousand trader TROY WEIGHT units week whole number worth write yard cost yards of broad-cloth yards of cloth
Popular passages
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.