The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to the Best Mode of Instruction in the Elements of Written Arithmetic |
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Page 5
... Greatest Common Divisor Least Common Multiple · • • 84 88 General Principles of Fractions Mixed and Whole Numbers Re- duced to Improper Fractions Improper Fractions Reduced to Whole or Mixed Numbers 92 93 Fraction Reduced to Lower Terms ...
... Greatest Common Divisor Least Common Multiple · • • 84 88 General Principles of Fractions Mixed and Whole Numbers Re- duced to Improper Fractions Improper Fractions Reduced to Whole or Mixed Numbers 92 93 Fraction Reduced to Lower Terms ...
Page 84
... GREATEST COMMON DIVISOR . 118. A COMMON DIVISOR of two or more numbers is any number that will divide each of them without remainder ; thus 3 is a common divisor of 12 , 18 , and 30 . 119. The GREATEST COMMON DIVISOR of two or more ...
... GREATEST COMMON DIVISOR . 118. A COMMON DIVISOR of two or more numbers is any number that will divide each of them without remainder ; thus 3 is a common divisor of 12 , 18 , and 30 . 119. The GREATEST COMMON DIVISOR of two or more ...
Page 85
... greatest common divisor . The same remark ap- plies to other factors . Hence , RULE 1. Resolve each number into its prime factors , and the continued product of ... greatest common divisor of 14 and DEFINITIONS AND GENERAL PRINCIPLES . 85.
... greatest common divisor . The same remark ap- plies to other factors . Hence , RULE 1. Resolve each number into its prime factors , and the continued product of ... greatest common divisor of 14 and DEFINITIONS AND GENERAL PRINCIPLES . 85.
Page 86
... greatest common divisor of 14 and 20 ? OPERATION . 14 ) 20 ( 1 14 6 ) 14 ( 2 12 Ans . 2 ) 6 ( 3 6 0 Before ... common divisor of two numbers divide their difference , but unless one of the numbers is a divisor of the other , it will also ...
... greatest common divisor of 14 and 20 ? OPERATION . 14 ) 20 ( 1 14 6 ) 14 ( 2 12 Ans . 2 ) 6 ( 3 6 0 Before ... common divisor of two numbers divide their difference , but unless one of the numbers is a divisor of the other , it will also ...
Page 87
... greatest common divisor of 14 and 20 cannot exceed 2 , and , as it has been previously shown that 2 is a divisor of 14 and 20 , it is their greatest common divisor ... greatest common divisor of 16 , DEFINITIONS AND GENERAL PRINCIPLES . 87.
... greatest common divisor of 14 and 20 cannot exceed 2 , and , as it has been previously shown that 2 is a divisor of 14 and 20 , it is their greatest common divisor ... greatest common divisor of 16 , DEFINITIONS AND GENERAL PRINCIPLES . 87.
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Common terms and phrases
acres of land amount annex bank bill bought bushels called ciphers common fraction composite number compound interest compound numbers computing interest contains cost cube cubic debts decimal fraction decimal places difference discount Divide dividend divisible dollars equal equated example Explain Ex farthings feet figure find the interest gain gallons given number greatest common divisor Hence higher denominations hundred improper fraction inches interest of $1 July least common multiple longitude lower denomination marked price measure miles mills minuend mixed number months multiplicand Multiply NOTE OPERATION payment pounds premium present worth prime factors principal PROBLEM Proof quarts quotient ratio Reduce rods Rule for finding shillings sold square root subtract subtrahend TABLE tens term of credit thousand Troy Weight units weight whole number wide yards of cloth
Popular passages
Page 283 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 42 - Division is the process of finding how many times one number is contained in another, or of finding one of the equal parts of a number.
Page 76 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 10 - How does moving a figure towards the left ntluct its vniu«' make one ten, ten tens make one hundred, ten hundreds make one thousand, and, in short, ten units of any order make one unit of the next higher order.
Page 294 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 76 - TABLE. 60 Seconds (sec.) . make 1 Minute, m. 60 Minutes " 1 Hour, h. 24 Hours
Page 74 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 294 - Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 36 - RULE. Annex as many ciphers to the multiplicand as there are ciphers in the multiplier, and the number so formed will be the •product.
Page 130 - Therefore, multiplying both terms of a fraction by the same number does not alter its value.