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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Page 5
... Factor of a Number , Cancellation , MISCELLANEOUS EXAMPLES IN MULTI- PLICATION AND DIVISION OF COM- POUND NUMBERS , • SECTION XVII . PROPERTIES AND RELATIONS OF NUM- Table of Prime Numbers , 129 130 131 . 131 . 133 74 Practical ...
... Factor of a Number , Cancellation , MISCELLANEOUS EXAMPLES IN MULTI- PLICATION AND DIVISION OF COM- POUND NUMBERS , • SECTION XVII . PROPERTIES AND RELATIONS OF NUM- Table of Prime Numbers , 129 130 131 . 131 . 133 74 Practical ...
Page 35
... Factors . SIGNS . The sign of multiplication is formed by two short lines crossing each other obliquely ; thus , X. It shows that the numbers between which it is placed are to be multiplied together ; thus , the expression 7 × 5 = 35 is ...
... Factors . SIGNS . The sign of multiplication is formed by two short lines crossing each other obliquely ; thus , X. It shows that the numbers between which it is placed are to be multiplied together ; thus , the expression 7 × 5 = 35 is ...
Page 41
... factors of 12 , since 3 X 4 = 12 . ART . 42. To multiply by a composite number . Ex . 1. A merchant bought fifteen ... factors of 15 are 3 and 5. Now , if we multiply the price of one piece by the factor 3 , we get the cost of 3 pieces ...
... factors of 12 , since 3 X 4 = 12 . ART . 42. To multiply by a composite number . Ex . 1. A merchant bought fifteen ... factors of 15 are 3 and 5. Now , if we multiply the price of one piece by the factor 3 , we get the cost of 3 pieces ...
Page 42
... factors 6 and 100 , and the multiplier into the factors 2 and 10. Now , it is evi- dent ( Art . 42 ) , if these several factors be multiplied together , they will produce the same product as the original factors 600 and 20. Thus 6 × 2 ...
... factors 6 and 100 , and the multiplier into the factors 2 and 10. Now , it is evi- dent ( Art . 42 ) , if these several factors be multiplied together , they will produce the same product as the original factors 600 and 20. Thus 6 × 2 ...
Page 48
... factors , and the quotient to the other . EXAMPLES FOR PRACTICE . 2. Divide 6375 by 5 . OPERATION . Divisor 5 ) 6 3 75 Dividend . 1275 Quotient . 3 . 3 ) 7893762 2631254 6 . 6 ) 8765389 9 . 9 ) 8953784 4 . 4 ) 47 6 3 256 1190814 7 . 7 ...
... factors , and the quotient to the other . EXAMPLES FOR PRACTICE . 2. Divide 6375 by 5 . OPERATION . Divisor 5 ) 6 3 75 Dividend . 1275 Quotient . 3 . 3 ) 7893762 2631254 6 . 6 ) 8765389 9 . 9 ) 8953784 4 . 4 ) 47 6 3 256 1190814 7 . 7 ...
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Common terms and phrases
12 leaves 2far 3far 66 1 bushel 7fur Academy acres of land added amount annex ARITHMETIC barrels of flour Bought cents ciphers column composite number compound numbers contained cords of wood cubic inches denomination dividend divisor dollars per acre dollars per cord drams DRY MEASURE equal EXAMPLES FOR PRACTICE factors farthings Female Seminary gallons Give the reason grains hogsheads hundred weight Institute leaves 11 less long division MENTAL EXERCISES method of proof miles millions mills minuend molasses multiplicand nine NOTE number or thing OPERATION ounces paid pairs pence pennyweights pints pounds Public High School purchase quantity quarts QUESTIONS quotient figure reduce Repeat the table rule Sextillions shillings simple numbers sold square miles square rod subtraction subtrahend tens tons Troy Troy Weight true remainder tuns United States money write yards
Popular passages
Page 98 - 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 115 - 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 69 - 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 103 - 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.