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
... Cancellation , . 133 74 A Common Divisor , . 136 • .75 The Greatest Common Divisor , .136 .76 ..79 A Common Multiple , . 138 81 SECTION XVIII . SECTION X. FRACTIONS . -COMMON FRACTIONS , • 140 Reduction of Common Fractions , 142 82 A ...
... Cancellation , . 133 74 A Common Divisor , . 136 • .75 The Greatest Common Divisor , .136 .76 ..79 A Common Multiple , . 138 81 SECTION XVIII . SECTION X. FRACTIONS . -COMMON FRACTIONS , • 140 Reduction of Common Fractions , 142 82 A ...
Page 133
... cancel the factor 5 , the remaining 3 is the quotient , and by the operation the dividend 15 has been divided by 5 . ART . 117. Cancellation is the method of shortening arith- metical operations by rejecting any factor or factors common ...
... cancel the factor 5 , the remaining 3 is the quotient , and by the operation the dividend 15 has been divided by 5 . ART . 117. Cancellation is the method of shortening arith- metical operations by rejecting any factor or factors common ...
Page 134
... cancel these factors . Finding 16 in the dividend and 12 in the divisor may be divided by 4 , they are cancelled , and use made of their quotients . Again , as the product of the factors 3 and 7 of the divisor equals the 28 of the ...
... cancel these factors . Finding 16 in the dividend and 12 in the divisor may be divided by 4 , they are cancelled , and use made of their quotients . Again , as the product of the factors 3 and 7 of the divisor equals the 28 of the ...
Page 135
... Cancel the factor or factors common to the dividend and divisor , and then divide the product of the factors remaining in the dividend by the product of those remaining in the divisor . NOTE . - 1 . In arranging the numbers for cancellation ...
... Cancel the factor or factors common to the dividend and divisor , and then divide the product of the factors remaining in the dividend by the product of those remaining in the divisor . NOTE . - 1 . In arranging the numbers for cancellation ...
Page 139
... factor or factors may be cancelled . QUESTION . - Art . 128. What are the rules for finding the least common multiple ? EXAMPLES FOR PRACTICE . 2. What is the least common SECT . XVII . ] PROPERTIES AND RELATIONS OF NUMBERS . 139.
... factor or factors may be cancelled . QUESTION . - Art . 128. What are the rules for finding the least common multiple ? EXAMPLES FOR PRACTICE . 2. What is the least common SECT . XVII . ] PROPERTIES AND RELATIONS OF NUMBERS . 139.
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Common terms and phrases
annexed annuity barrels of flour bill Bought bushels called cancel ciphers circumference column common denominator common difference common fraction composite number compound interest compound numbers containing cost cube root cubic feet currency decimal diameter discount Divide the product dividend division equal EXAMPLES FOR PRACTICE farthings find the interest gallons Give the reason given number given sum greatest common divisor Hence hogshead improper fraction inches interest of $1 least common multiple leaves less miles mills minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain paid payment pence present worth prime factors prime number principal purchase quantity quarts QUESTIONS quotient rate per cent ratio received Reduce remainder rule for finding shillings side simple fraction simple numbers sold solid square feet square root subtract subtrahend tens thousand thousandths tons Troy Weight United States money whole number write yards
Popular passages
Page 141 - RULE. 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.
Page 151 - Multiplication is the process of taking one number as many times as there are units in another.
Page 185 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 281 - A sphere is a solid, bounded by one continued convex surface, every point of which is equally distant from a point within, called the centre.
Page 205 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be...
Page 181 - Place the subtrahend under the minuend, so that the decimal points will be directly under each other. Subtract as in whole numbers, and place the decimal point in the remainder directly under the decimal points above.
Page 132 - The greatest common divisor of two or more numbers is the greatest number that will divide each of them without a remainder. Thus 6 is the greatest common divisor of 12, 18, and 24.
Page 134 - The least common multiple of two or more numbers is the least number that can be divided by each of them without a remainder ; thus 30 is the least common multiple of 10 and 15.
Page 205 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation for one year,* add it to the principal, and compute the interest on the sum paid from the time it was paid up to the end of the year ; add it to the sum paid, and deduct that sum from the principal and interest added together.
Page 154 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.