## Introduction to The National Arithmetic, on the Inductive System: Combining the Analytic and Synthetic Methods; in which the Principles of the Science are Fully Explained and Illustrated. Designed for Common Schools and Academies |

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12 leaves Academy acres added addition amount annex ARITHMETIC barrels begin Bought bushels called cents ciphers cloth column common compound numbers contained cords cost cubic denomination difference Divide dividend division divisor dollars English equal EXAMPLES FOR PRACTICE EXERCISES expressed factors farthings feet Female figure five flour four gallons gave Give the reason grains greater hand High School hogsheads hundred ILLUSTRATION inches Institute John land leaves leaves 11 less MEASURE method miles millions mills minuend month multiplicand Multiply nine NOTE obtain OPERATION ounces paid pairs pence Period pieces pounds proof purchase quantity quarters quarts QUESTIONS quotient receive reduce remainder rods rule School Seminary seven shillings simple sold square subtraction subtrahend tens third thousand tons Troy true units weeks weight whole wood write yards

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Page 96 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...

Page 21 - Amount 1928 the column of tens ; thus, 1 added to 1 makes 2, and 6 are 8, and 4 are 12 (tens) , equal to 1 hundred and 2 tens. We write the 2 tens under the column of tens, and add the 1 hundred to the column of hundreds ; thus, 1 added to 9 makes 10, and 7 are 17, and 2 are 19 (hundreds), equal to 1 thousand and 9 hundreds. We write the 9 under the column of hundreds ; and there being no other column to be added, we set down the 1 thousand in thousands' place, and find the amount of the several...

Page 113 - Rule. — Write the numbers so that units of the same denomination shall stand in the same column.

Page 48 - The Dividend is the number to be divided. The Divisor is the number by which we divide. The Quotient is the number of times the divisor is contained in the dividend; or one of the equal parts into which it is divided.

Page 37 - Multiplication; and denotes that all the numbers, between which it is placed, are to be multiplied together. Thus 9X9 signifies that 9 is to be multiplied by 9, or 9X9X9 must be multiplied.

Page 67 - The units or denominations of United States money increase from right to left, and decrease from left to right, in the same manner as do the units of the several orders in simple • numbers ; and may, therefore, be added, subtracted, multiplied, and divided in like manner as simple numbers.

Page 59 - When a number or thing is divided into two equal parts, one of those parts is called one half. If the number or thing is divided into three equal parts, one of the parts is called one third...

Page 36 - In one acre there are four roods; how many roods in 2 acres? In 3 acres? In 4 acres? In 5 acres? In 6 acres? In 9 acres ? 12.

Page 101 - TABLE, Showing the number of days from any day of one month to the same day of any other month within one year.

Page 53 - ART. 53. Second Method of Proof . — Add together the remainder, if any, and all the products that have been produced by multiplying the divisor by the several quotient figures, and the result will be like the dividend, if the work is right.